Exotic matter on singular divisors in F-theory

Klevers, Denis; Morrison, David R.; Raghuram, Nikhil; Taylor, Washington

doi:10.1007/jhep11(2017)124

Title: Exotic matter on singular divisors in F-theory

Abstract

We analyze exotic matter representations that arise on singular seven-brane configurations in F-theory. We develop a general framework for analyzing such representations, and work out explicit descriptions for models with matter in the 2-index and 3-index symmetric representations of SU(N) and SU(2) respectively, associated with double and triple point singularities in the seven-brane locus. These matter representations are associated with Weierstrass models whose discriminants vanish to high order thanks to nontrivial cancellations possible only in the presence of a non-UFD algebraic structure. This structure can be described using the normalization of the ring of intrinsic local functions on a singular divisor. We consider the connection between geometric constraints on singular curves and corresponding constraints on the low-energy spectrum of 6D theories, identifying some new examples of apparent “swampland” theories that cannot be realized in F-theory but have no apparent low-energy inconsistency.

Authors:

Klevers, Denis ^[1]; Morrison, David R. ^[2]; Raghuram, Nikhil ^[3]; Taylor, Washington ^[3]

European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
Univ. of California, Santa Barbara, CA (United States). Dept. of Mathematics and Physics
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics, Dept. of Physics

Publication Date:: Mon Nov 20 00:00:00 EST 2017

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1505583

Grant/Contract Number:: SC0012567

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: 11; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; F-Theory; Differential and Algebraic Geometry; Supergravity Models; Superstring Vacua

Citation Formats


                    Klevers, Denis, Morrison, David R., Raghuram, Nikhil, and Taylor, Washington. Exotic matter on singular divisors in F-theory.  United States: N. p., 2017. 
Web.  doi:10.1007/jhep11(2017)124.

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                    Klevers, Denis, Morrison, David R., Raghuram, Nikhil, & Taylor, Washington. Exotic matter on singular divisors in F-theory.  United States.  https://doi.org/10.1007/jhep11(2017)124

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                    Klevers, Denis, Morrison, David R., Raghuram, Nikhil, and Taylor, Washington. Mon .  
"Exotic matter on singular divisors in F-theory".  United States.  https://doi.org/10.1007/jhep11(2017)124.  https://www.osti.gov/servlets/purl/1505583.

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@article{osti_1505583,

  title        = {Exotic matter on singular divisors in F-theory},

  author       = {Klevers, Denis and Morrison, David R. and Raghuram, Nikhil and Taylor, Washington},

  abstractNote = {We analyze exotic matter representations that arise on singular seven-brane configurations in F-theory. We develop a general framework for analyzing such representations, and work out explicit descriptions for models with matter in the 2-index and 3-index symmetric representations of SU(N) and SU(2) respectively, associated with double and triple point singularities in the seven-brane locus. These matter representations are associated with Weierstrass models whose discriminants vanish to high order thanks to nontrivial cancellations possible only in the presence of a non-UFD algebraic structure. This structure can be described using the normalization of the ring of intrinsic local functions on a singular divisor. We consider the connection between geometric constraints on singular curves and corresponding constraints on the low-energy spectrum of 6D theories, identifying some new examples of apparent “swampland” theories that cannot be realized in F-theory but have no apparent low-energy inconsistency.},

  doi          = {10.1007/jhep11(2017)124},

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

  number       = 11,

  volume       = 2017,

  place        = {United States},

  year         = {Mon Nov 20 00:00:00 EST 2017},

  month        = {Mon Nov 20 00:00:00 EST 2017}

}

Copy to clipboard

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Works referencing / citing this record:

An infinite swampland of U(1) charge spectra in 6D supergravity theories
journal, June 2018

Taylor, Washington; Turner, Andrew P.
Journal of High Energy Physics, Vol. 2018, Issue 6
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High U(1) charges in type IIB models and their F-theory lift
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Cianci, Francesco Mattia; Pena, Damian Kaloni Mayorga; Valandro, Roberto
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Generic matter representations in 6D supergravity theories
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Taylor, Washington; Turner, Andrew P.
Journal of High Energy Physics, Vol. 2019, Issue 5
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High U(1) charges in type IIB models and their F-theory lift
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Cianci, Francesco Mattia; Mayorga Peña, Damián K.; Valandro, Roberto
Journal of High Energy Physics, Vol. 2019, Issue 4
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An infinite swampland of U(1) charge spectra in 6D supergravity theories
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Taylor, Washington; Turner, Andrew P.
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High U(1) charges in type IIB models and their F-theory lift
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Cianci, Francesco Mattia; Mayorga Peña, Damián K.; Valandro, Roberto
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Title: Exotic matter on singular divisors in F-theory

Abstract

Citation Formats

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General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure journal, November 2015

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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

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The SO(32) heterotic string on a K3 surface journal, October 1996

Tate’s algorithm and F-theory journal, August 2011

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Small E8 instantons and tensionless non-critical strings journal, August 1996

Generalized Green-Schwarz mechanism in F theory journal, November 1996

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Non-Abelian Gauge Symmetry and the Higgs Mechanism in F-Theory journal, February 2015

Realizing higher-level gauge symmetries in string theory: new embeddings for string GUTs journal, November 1996

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

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On Compact Analytic Surfaces: II journal, May 1963

Anomaly-free chiral theories in six dimensions journal, January 1985

Geometric singularities and enhanced gauge symmetries journal, December 1996

Three-index symmetric matter representations of SU(2) in F-theory from non-Tate form Weierstrass models journal, June 2016

Phase transitions in M-theory and F-theory journal, July 1996

Anomalies and the Euler characteristic of elliptic Calabi–Yau threefolds journal, January 2012

Evidence for F-theory journal, June 1996

Toric bases for 6D F-theory models journal, May 2012

Matter from geometry without resolution journal, October 2013

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

Small resolutions of SU(5)-models in F-theory journal, January 2013

On the Severi problem journal, October 1986

Anomaly cancellation in six dimensions journal, April 1994

On the classification of 6D SCFTs and generalized ADE orbifolds journal, May 2014

6d Conformal matter journal, February 2015

Generalized Green-Schwarz mechanism in F theory text, January 1996

An infinite swampland of U(1) charge spectra in 6D supergravity theories journal, June 2018

The Geometry of the SU(2) × G2-model journal, February 2019

High U(1) charges in type IIB models and their F-theory lift preprint, January 2018

Generic matter representations in 6D supergravity theories journal, May 2019

High U(1) charges in type IIB models and their F-theory lift journal, April 2019

An infinite swampland of U(1) charge spectra in 6D supergravity theories text, January 2018

High U(1) charges in type IIB models and their F-theory lift journal, April 2019

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The Geometry of the SU(2)$\times$ G$_2$-model text, January 2018

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Comments on string dynamics in six dimensions
journal, July 1996

Classification of 6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ gauge theories
journal, November 2015

Tall sections from non-minimal transformations
journal, October 2016

General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure
journal, November 2015

Small instantons in string theory
journal, February 1996

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

On Compact Analytic Surfaces, III
journal, July 1963

Enhanced gauge symmetry in 6D F-theory models and tuned elliptic Calabi-Yau threefolds: Enhanced gauge symmetry in 6D F-theory models…
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6D supergravity without tensor multiplets
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A note on the Green-Schwarz mechanism in open-string theories
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Chiral four-dimensional F-theory compactifications with SU(5) and multiple U(1)-factors
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The SO(32) heterotic string on a K3 surface
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Tate’s algorithm and F-theory
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Matter from geometry
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6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces
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Small E8 instantons and tensionless non-critical strings
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Generalized Green-Schwarz mechanism in F theory
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Global aspects of the space of 6D $ \mathcal{N} = 1 $ supergravities
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Non-Abelian Gauge Symmetry and the Higgs Mechanism in F-Theory
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Realizing higher-level gauge symmetries in string theory: new embeddings for string GUTs
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String universality in six dimensions
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On Compact Analytic Surfaces: II
journal, May 1963

Anomaly-free chiral theories in six dimensions
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Geometric singularities and enhanced gauge symmetries
journal, December 1996

Three-index symmetric matter representations of SU(2) in F-theory from non-Tate form Weierstrass models
journal, June 2016

Phase transitions in M-theory and F-theory
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Anomalies and the Euler characteristic of elliptic Calabi–Yau threefolds
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Evidence for F-theory
journal, June 1996

Toric bases for 6D F-theory models
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Compactifications of F-theory on Calabi-Yau threefolds. (I)
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Small resolutions of SU(5)-models in F-theory
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On the classification of 6D SCFTs and generalized ADE orbifolds
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