Ubiquity of non-geometry in heterotic compactifications

García-Etxebarria, Iñaki; Lüst, Dieter; Massai, Stefano; Mayrhofer, Christoph

doi:10.1007/JHEP03(2017)046

Title: Ubiquity of non-geometry in heterotic compactifications

Abstract

Here, we study the effect of quantum corrections on heterotic compactifications on elliptic fibrations away from the stable degeneration limit, elaborating on a recent observation by Malmendier and Morrison. We show that already for the simplest nontrivial elliptic fibration the effect is quite dramatic: the I₁ degeneration with trivial gauge background dynamically splits into two T-fects with monodromy around each T-fect being (conjugate to) T-duality along one of the legs of the T². This implies that almost every elliptic heterotic compactification becomes a non-geometric T-fold away from the stable degeneration limit. We also point out a subtlety due to this non-geometric splitting at finite fiber size. It arises when determining, via heterotic/F-theory duality, the SCFTs associated to a small number of pointlike instantons probing heterotic ADE singularities. Along the way we resolve various puzzles in the literature.

Authors:

García-Etxebarria, Iñaki ^[1]; Lüst, Dieter ^[2]; Massai, Stefano ^[3]; Mayrhofer, Christoph ^[4]

Max Planck Inst. for Physics, Munich (Germany)
Max Planck Inst. for Physics, Munich (Germany); Arnold Sommerfeld Center for Theoretical Physics, Munich (Germany)
Arnold Sommerfeld Center for Theoretical Physics, Munich (Germany); Univ. of Chicago, IL (United States). Enrico Fermi Inst.
Arnold Sommerfeld Center for Theoretical Physics, Munich (Germany)

Publication Date:: Wed Mar 08 00:00:00 EST 2017

Research Org.:: Univ. of Chicago, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); Ludwig Maximilian Univ. of Munich (Germany); European Research Council (ERC)

OSTI Identifier:: 1423955

Grant/Contract Number:: sc0009924; 32004

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; F-Theory; String Duality; Superstrings and Heterotic Strings; Superstring Vacua

Citation Formats


                    García-Etxebarria, Iñaki, Lüst, Dieter, Massai, Stefano, and Mayrhofer, Christoph. Ubiquity of non-geometry in heterotic compactifications.  United States: N. p., 2017. 
Web.  doi:10.1007/JHEP03(2017)046.

Copy to clipboard


                    García-Etxebarria, Iñaki, Lüst, Dieter, Massai, Stefano, & Mayrhofer, Christoph. Ubiquity of non-geometry in heterotic compactifications.  United States.  https://doi.org/10.1007/JHEP03(2017)046

Copy to clipboard


                    García-Etxebarria, Iñaki, Lüst, Dieter, Massai, Stefano, and Mayrhofer, Christoph. Wed .  
"Ubiquity of non-geometry in heterotic compactifications".  United States.  https://doi.org/10.1007/JHEP03(2017)046.  https://www.osti.gov/servlets/purl/1423955.

Copy to clipboard


                    
@article{osti_1423955,

  title        = {Ubiquity of non-geometry in heterotic compactifications},

  author       = {García-Etxebarria, Iñaki and Lüst, Dieter and Massai, Stefano and Mayrhofer, Christoph},

  abstractNote = {Here, we study the effect of quantum corrections on heterotic compactifications on elliptic fibrations away from the stable degeneration limit, elaborating on a recent observation by Malmendier and Morrison. We show that already for the simplest nontrivial elliptic fibration the effect is quite dramatic: the I1 degeneration with trivial gauge background dynamically splits into two T-fects with monodromy around each T-fect being (conjugate to) T-duality along one of the legs of the T2. This implies that almost every elliptic heterotic compactification becomes a non-geometric T-fold away from the stable degeneration limit. We also point out a subtlety due to this non-geometric splitting at finite fiber size. It arises when determining, via heterotic/F-theory duality, the SCFTs associated to a small number of pointlike instantons probing heterotic ADE singularities. Along the way we resolve various puzzles in the literature.},

  doi          = {10.1007/JHEP03(2017)046},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2017,

  place        = {United States},

  year         = {Wed Mar 08 00:00:00 EST 2017},

  month        = {Wed Mar 08 00:00:00 EST 2017}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1007/JHEP03(2017)046

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 9 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

K3 Surfaces, Modular Forms, and Non-Geometric Heterotic Compactifications
journal, June 2015

Malmendier, Andreas; Morrison, David R.
Letters in Mathematical Physics, Vol. 105, Issue 8
DOI: 10.1007/s11005-015-0773-y

Geometries, non-geometries, and fluxes
journal, January 2010

McOrist, Jock; Morrison, David R.; Sethi, Savdeep
Advances in Theoretical and Mathematical Physics, Vol. 14, Issue 5
DOI: 10.4310/ATMP.2010.v14.n5.a4

Point-like instantons on K3 orbifolds
journal, October 1997

Aspinwall, Paul S.; Morrison, David R.
Nuclear Physics B, Vol. 503, Issue 3
DOI: 10.1016/S0550-3213(97)00516-6

Small instantons in string theory
journal, February 1996

Witten, Edward
Nuclear Physics B, Vol. 460, Issue 3
DOI: 10.1016/0550-3213(95)00625-7

Calabi-Yau threefolds with large h 2,1
journal, October 2014

Johnson, Samuel B.; Taylor, Washington
Journal of High Energy Physics, Vol. 2014, Issue 10
DOI: 10.1007/JHEP10(2014)023

The monodromy of T-folds and T-fects
journal, September 2016

Lüst, Dieter; Massai, Stefano; Camell, Valentí Vall
Journal of High Energy Physics, Vol. 2016, Issue 9
DOI: 10.1007/JHEP09(2016)127

Topological invariants and fibration structure of complete intersection Calabi-Yau four-folds
journal, September 2014

Gray, James; Haupt, Alexander S.; Lukas, Andre
Journal of High Energy Physics, Vol. 2014, Issue 9
DOI: 10.1007/JHEP09(2014)093

Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models…
journal, August 2016

Johnson, Samuel B.; Taylor, Washington
Fortschritte der Physik, Vol. 64, Issue 8-9
DOI: 10.1002/prop.201600074

Geometric Constructions of Nongeometric String Theories
journal, January 2004

Hellerman, Simeon; McGreevy, John; Williams, Brook
Journal of High Energy Physics, Vol. 2004, Issue 01
DOI: 10.1088/1126-6708/2004/01/024

Target space duality in string theory
journal, August 1994

Giveon, Amit; Porrati, Massimo; Rabinovici, Eliezer
Physics Reports, Vol. 244, Issue 2-3
DOI: 10.1016/0370-1573(94)90070-1

Branes and six-dimensional supersymmetric theories
journal, September 1998

Hanany, Amihay; Zaffaroni, Alberto
Nuclear Physics B, Vol. 529, Issue 1-2
DOI: 10.1016/S0550-3213(98)00355-1

Heterotic T-fects, 6D SCFTs, and F-theory
journal, August 2016

Font, Anamaría; García-Etxebarria, Iñaki; Lüst, Dieter
Journal of High Energy Physics, Vol. 2016, Issue 8
DOI: 10.1007/JHEP08(2016)175

The heterotic string, the tangent bundle and derived categories
journal, January 1998

Aspinwall, Paul S.; Donagi, Ron Y.
Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 5
DOI: 10.4310/ATMP.1998.v2.n5.a4

Probing F-theory with branes
journal, October 1996

Banks, Tom; Douglas, Michael R.; Seiberg, Nathan
Physics Letters B, Vol. 387, Issue 2
DOI: 10.1016/0370-2693(96)00808-8

Prepotential, mirror map and $F$-theory on $K3$
journal, January 1998

Lerche, W.; Stieberger, S.
Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 5
DOI: 10.4310/ATMP.1998.v2.n5.a6

A geometry for non-geometric string backgrounds
journal, October 2005

Hull, Christofer M.
Journal of High Energy Physics, Vol. 2005, Issue 10
DOI: 10.1088/1126-6708/2005/10/065

Point-like instantons and the heterotic string
journal, July 1997

Aspinwall, Paul S.
Nuclear Physics B, Vol. 496, Issue 1-2
DOI: 10.1016/S0550-3213(97)00232-0

F-theory and orientifolds
journal, September 1996

Sen, Ashoke
Nuclear Physics B, Vol. 475, Issue 3
DOI: 10.1016/0550-3213(96)00347-1

Compactifications of F-theory on Calabi-Yau threefolds (II)
journal, September 1996

Morrison, David R.; Vafa, Cumrun
Nuclear Physics B, Vol. 476, Issue 3
DOI: 10.1016/0550-3213(96)00369-0

On pencils of curves of genus two
journal, November 1966

Ogg, A. P.
Topology, Vol. 5, Issue 4
DOI: 10.1016/0040-9383(66)90027-9

Heterotic string conformal field theory and A-D-E singularities
journal, February 2000

Witten, Edward
Journal of High Energy Physics, Vol. 2000, Issue 02
DOI: 10.1088/1126-6708/2000/02/025

Multiple fibrations in Calabi-Yau geometry and string dualities
journal, October 2016

Anderson, Lara B.; Gao, Xin; Gray, James
Journal of High Energy Physics, Vol. 2016, Issue 10
DOI: 10.1007/JHEP10(2016)105

The complete classification of fibres in pencils of curves of genus two
journal, June 1973

Namikawa, Yukihiko; Ueno, Kenji
Manuscripta Mathematica, Vol. 9, Issue 2
DOI: 10.1007/BF01297652

F-theory and linear sigma models
journal, September 1998

Bershadsky, M.; Chiang, T. M.; Greene, B. R.
Nuclear Physics B, Vol. 527, Issue 3
DOI: 10.1016/S0550-3213(98)00429-5

An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts
journal, October 2013

Candelas, Philip; Constantin, Andrei; Skarke, Harald
Communications in Mathematical Physics, Vol. 324, Issue 3
DOI: 10.1007/s00220-013-1802-2

Gluing branes — II: flavour physics and string duality
journal, May 2013

Donagi, Ron; Wijnholt, Martijn
Journal of High Energy Physics, Vol. 2013, Issue 5
DOI: 10.1007/JHEP05(2013)092

Evidence for F-theory
journal, June 1996

Vafa, Cumrun
Nuclear Physics B, Vol. 469, Issue 3
DOI: 10.1016/0550-3213(96)00172-1

Kummer sandwich theorem of certain elliptic K3 surfaces
journal, November 2006

Tetsuji, Shioda
Proceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 82, Issue 8
DOI: 10.3792/pjaa.82.137

Compactifications of F-theory on Calabi-Yau threefolds. (I)
journal, August 1996

Morrison, David R.; Vafa, Cumrun
Nuclear Physics B, Vol. 473, Issue 1-2
DOI: 10.1016/0550-3213(96)00242-8

On the duality between the heterotic string and F-theory in 8 dimensions
journal, December 1996

Cardoso, Gabriel Lopes; Curio, Gottfried; Lüst, Dieter
Physics Letters B, Vol. 389, Issue 3
DOI: 10.1016/S0370-2693(96)01303-2

Exceptional groups from open strings
journal, May 1998

Gaberdiel, Matthius R.; Zwiebach, Barton
Nuclear Physics B, Vol. 518, Issue 1-2
DOI: 10.1016/S0550-3213(97)00841-9

Similar Records in DOE PAGES and OSTI.GOV collections:

Origin of Abelian gauge symmetries in heterotic/F-theory duality

Journal Article Cvetič, Mirjam ; Grassi, Antonella ; Klevers, Denis ; ... - Journal of High Energy Physics (Online)

Here, we study aspects of heterotic/F-theory duality for compactifications with Abelian gauge symmetries. We consider F-theory on general Calabi-Yau manifolds with a rank one Mordell-Weil group of rational sections. By rigorously performing the stable degeneration limit in a class of toric models, and also derive both the Calabi-Yau geometry and the spectral cover describing the vector bundle in the heterotic dual theory. We carefully investigate the spectral cover employing the group law on the elliptic curve in the heterotic theory. We find in explicit examples that there are three different classes of heterotic duals that have U(1) factors in theirmore »« less
Cited by 27
https://doi.org/10.1007/JHEP04(2016)041

Full Text Available
A note on T-folds and $T^3$ fibrations

Journal Article Achmed-Zade, Ismail ; Hamilton, Mark J. D. ; Lüst, Dieter ; ... - Journal of High Energy Physics (Online)

We study stringy modifications of T³-fibered manifolds, where the fiber undergoes a monodromy in the T-duality group. We determine the fibration data defining such T-folds from a geometric model, by using a map between the duality group and the group of large diffeomorphisms of a four-torus. We describe the monodromies induced around duality defects where such fibrations degenerate and we argue that local solutions receive corrections from the winding sector, dual to the symmetry-breaking modes that correct semi-flat metrics.
Cited by 3
https://doi.org/10.1007/jhep12(2018)020

Full Text Available
Heterotic/Type-II duality and its field theory avatars

Journal Article Kiritsis, Elias ; Physics Department, University of Crete PO Box 2208, 71003 Heraclion - AIP Conference Proceedings

In these lecture notes, I will describe heterotic/type-II duality in six and four dimensions. When supersymmetry is the maximal N=4 it will be shown that the duality reduces in the field theory limit to the Montonen-Olive duality of N=4 Super Yang-Mills theory. We will consider further compactifications of type II theory on Calabi-Yau manifolds. We will understand the physical meaning of geometric conifold singularities and the dynamics of conifold transitions. When the CY manifold is a K3 fibration we will argue that the type-II ground-state is dual to the heterotic theory compactified on K3xT{sup 2}. This allows an exact computationmore »« less
https://doi.org/10.1063/1.1301387
Heterotic-F-theory duality with Wilson line symmetry-breaking

Journal Article Clemens, Herbert ; Raby, Stuart - Journal of High Energy Physics (Online)

We begin with anmore »« less
https://doi.org/10.1007/JHEP12(2019)016

Full Text Available
AdS strings with torsion: Noncomplex heterotic compactifications

Journal Article Frey, Andrew R ; Lippert, Matthew ; University of Kentucky, Lexington, Kentucky 40506, USA and University of Louisville, Louisville, Kentucky 40292 - Physical Review. D, Particles Fields

Combining the effects of fluxes and gaugino condensation in heterotic supergravity, we use a ten-dimensional approach to find a new class of four-dimensional supersymmetric AdS{sub 4} compactifications on almost-Hermitian manifolds of SU(3) structure. Computation of the torsion allows a classification of the internal geometry, which for a particular combination of fluxes and condensate, is nearly Kaehler. We argue that all moduli are fixed, and we show that the Kaehler potential and superpotential proposed in the literature yield the correct AdS{sub 4} radius. In the nearly Kaehler case, we are able to solve the H Bianchi identity using a nonstandard embedding.more »« less
https://doi.org/10.1103/PhysRevD.72.126001

Similar Records

Title: Ubiquity of non-geometry in heterotic compactifications

Abstract

Citation Formats

K3 Surfaces, Modular Forms, and Non-Geometric Heterotic Compactifications journal, June 2015

Geometries, non-geometries, and fluxes journal, January 2010

Point-like instantons on K3 orbifolds journal, October 1997

Small instantons in string theory journal, February 1996

Calabi-Yau threefolds with large h 2,1 journal, October 2014

The monodromy of T-folds and T-fects journal, September 2016

Topological invariants and fibration structure of complete intersection Calabi-Yau four-folds journal, September 2014

Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models… journal, August 2016

Geometric Constructions of Nongeometric String Theories journal, January 2004

Target space duality in string theory journal, August 1994

Branes and six-dimensional supersymmetric theories journal, September 1998

Heterotic T-fects, 6D SCFTs, and F-theory journal, August 2016

The heterotic string, the tangent bundle and derived categories journal, January 1998

Probing F-theory with branes journal, October 1996

Prepotential, mirror map and $F$-theory on $K3$ journal, January 1998

A geometry for non-geometric string backgrounds journal, October 2005

Point-like instantons and the heterotic string journal, July 1997

F-theory and orientifolds journal, September 1996

Compactifications of F-theory on Calabi-Yau threefolds (II) journal, September 1996

On pencils of curves of genus two journal, November 1966

Heterotic string conformal field theory and A-D-E singularities journal, February 2000

Multiple fibrations in Calabi-Yau geometry and string dualities journal, October 2016

The complete classification of fibres in pencils of curves of genus two journal, June 1973

F-theory and linear sigma models journal, September 1998

An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts journal, October 2013

Gluing branes — II: flavour physics and string duality journal, May 2013

Evidence for F-theory journal, June 1996

Kummer sandwich theorem of certain elliptic K3 surfaces journal, November 2006

Compactifications of F-theory on Calabi-Yau threefolds. (I) journal, August 1996

On the duality between the heterotic string and F-theory in 8 dimensions journal, December 1996

Exceptional groups from open strings journal, May 1998

K3 Surfaces, Modular Forms, and Non-Geometric Heterotic Compactifications
journal, June 2015

Geometries, non-geometries, and fluxes
journal, January 2010

Point-like instantons on K3 orbifolds
journal, October 1997

Small instantons in string theory
journal, February 1996

Calabi-Yau threefolds with large h 2,1
journal, October 2014

The monodromy of T-folds and T-fects
journal, September 2016

Topological invariants and fibration structure of complete intersection Calabi-Yau four-folds
journal, September 2014

Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models…
journal, August 2016

Geometric Constructions of Nongeometric String Theories
journal, January 2004

Target space duality in string theory
journal, August 1994

Branes and six-dimensional supersymmetric theories
journal, September 1998

Heterotic T-fects, 6D SCFTs, and F-theory
journal, August 2016

The heterotic string, the tangent bundle and derived categories
journal, January 1998

Probing F-theory with branes
journal, October 1996

Prepotential, mirror map and $F$-theory on $K3$
journal, January 1998

A geometry for non-geometric string backgrounds
journal, October 2005

Point-like instantons and the heterotic string
journal, July 1997

F-theory and orientifolds
journal, September 1996

Compactifications of F-theory on Calabi-Yau threefolds (II)
journal, September 1996

On pencils of curves of genus two
journal, November 1966

Heterotic string conformal field theory and A-D-E singularities
journal, February 2000

Multiple fibrations in Calabi-Yau geometry and string dualities
journal, October 2016

The complete classification of fibres in pencils of curves of genus two
journal, June 1973

F-theory and linear sigma models
journal, September 1998

An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts
journal, October 2013

Gluing branes — II: flavour physics and string duality
journal, May 2013

Evidence for F-theory
journal, June 1996

Kummer sandwich theorem of certain elliptic K3 surfaces
journal, November 2006

Compactifications of F-theory on Calabi-Yau threefolds. (I)
journal, August 1996

On the duality between the heterotic string and F-theory in 8 dimensions
journal, December 1996

Exceptional groups from open strings
journal, May 1998