Generic matter representations in 6D supergravity theories
Abstract
>In six-dimensional supergravity, there is a natural sense in which matter lying in certain representations of the gauge group is “generic,” in that other “exotic” matter representations require more fine tuning. From considerations of the dimensionality of the moduli space and anomaly cancellation conditions, we find that the generic sets of matter representations are well-defined for 6D supergravity theories with gauge groups containing arbitrary numbers of nonabelian factors and U(1) factors. These generic matter representations also match with those that arise in the most generic F-theory constructions, both in 6D and in 4D, with non-generic matter representations requiring more exotic singularity types. The analysis of generic versus exotic matter illuminates long-standing puzzles regarding F-theory models with multiple U(1) factors and provides a useful framework for analyzing the 6D “swampland” of apparently consistent low-energy theories that cannot be realized through known string constructions. We note also that the matter content of the standard model is generic by the criteria used here only if the global structure is SU(3)c× SU(2)L× U(1)Y/Z6.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1611868
- Alternate Identifier(s):
- OSTI ID: 1907421
- 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: 2019; Journal Issue: 5; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; F-Theory; Field Theories in Higher Dimensions; Supergravity Models
Citation Formats
Taylor, Washington, and Turner, Andrew P. Generic matter representations in 6D supergravity theories. United States: N. p., 2019.
Web. doi:10.1007/jhep05(2019)081.
Taylor, Washington, & Turner, Andrew P. Generic matter representations in 6D supergravity theories. United States. https://doi.org/10.1007/jhep05(2019)081
Taylor, Washington, and Turner, Andrew P. Wed .
"Generic matter representations in 6D supergravity theories". United States. https://doi.org/10.1007/jhep05(2019)081. https://www.osti.gov/servlets/purl/1611868.
@article{osti_1611868,
title = {Generic matter representations in 6D supergravity theories},
author = {Taylor, Washington and Turner, Andrew P.},
abstractNote = {>In six-dimensional supergravity, there is a natural sense in which matter lying in certain representations of the gauge group is “generic,” in that other “exotic” matter representations require more fine tuning. From considerations of the dimensionality of the moduli space and anomaly cancellation conditions, we find that the generic sets of matter representations are well-defined for 6D supergravity theories with gauge groups containing arbitrary numbers of nonabelian factors and U(1) factors. These generic matter representations also match with those that arise in the most generic F-theory constructions, both in 6D and in 4D, with non-generic matter representations requiring more exotic singularity types. The analysis of generic versus exotic matter illuminates long-standing puzzles regarding F-theory models with multiple U(1) factors and provides a useful framework for analyzing the 6D “swampland” of apparently consistent low-energy theories that cannot be realized through known string constructions. We note also that the matter content of the standard model is generic by the criteria used here only if the global structure is SU(3)c× SU(2)L× U(1)Y/Z6.},
doi = {10.1007/jhep05(2019)081},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2019,
place = {United States},
year = {2019},
month = {5}
}
Web of Science
Works referenced in this record:
TASI Lectures on Abelian and Discrete Symmetries in F-theory
conference, September 2018
- Cvetic, Mirjam; Lin, Ling
- Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017)
On the geometry of the string landscape and the swampland
journal, March 2007
- Ooguri, Hirosi; Vafa, Cumrun
- Nuclear Physics B, Vol. 766, Issue 1-3
The frozen phase of F-theory
journal, August 2018
- Bhardwaj, Lakshya; Morrison, David R.; Tachikawa, Yuji
- Journal of High Energy Physics, Vol. 2018, Issue 8
Superconformal Partition Functions and Non-perturbative Topological Strings
preprint, January 2012
- Lockhart, Guglielmo; Vafa, Cumrun
- arXiv
6d Conformal matter
journal, February 2015
- Del Zotto, Michele; Heckman, Jonathan J.; Tomasiello, Alessandro
- Journal of High Energy Physics, Vol. 2015, Issue 2
Elliptic fibrations with rank three Mordell-Weil group: F-theory with U(1)×U(1)×U(1) gauge symmetry
journal, March 2014
- Cvetič, Mirjam; Klevers, Denis; Piragua, Hernan
- Journal of High Energy Physics, Vol. 2014, Issue 3
Superconformal partition functions and non-perturbative topological strings
journal, October 2018
- Lockhart, Guglielmo; Vafa, Cumrun
- Journal of High Energy Physics, Vol. 2018, Issue 10
Scanning the skeleton of the 4D F-theory landscape
journal, January 2018
- Taylor, Washington; Wang, Yi-Nan
- Journal of High Energy Physics, Vol. 2018, Issue 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
More anomaly free models of six-dimensional gauged supergravity
journal, June 2006
- Suzuki, Ryo; Tachikawa, Yuji
- Journal of Mathematical Physics, Vol. 47, Issue 6
Enumerative combinatorics
journal, November 2008
- Charalambides, Charalambos A.
- ACM SIGACT News, Vol. 39, Issue 4
Anomaly-free chiral theories in six dimensions
journal, January 1985
- Green, Michael B.; Schwarz, John H.; West, P. C.
- Nuclear Physics B, Vol. 254
M-Strings
journal, August 2014
- Haghighat, Babak; Iqbal, Amer; Kozçaz, Can
- Communications in Mathematical Physics, Vol. 334, Issue 2
F-theory duals of singular heterotic K3 models
journal, January 2015
- Lüdeling, Christoph; Ruehle, Fabian
- Physical Review D, Vol. 91, Issue 2
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
Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers
journal, February 2019
- Huang, Yu-Chien; Taylor, Washington
- Journal of High Energy Physics, Vol. 2019, Issue 2
Anomaly cancellation in six dimensions
journal, April 1994
- Erler, Jens
- Journal of Mathematical Physics, Vol. 35, Issue 4
Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
text, January 2014
- Mayrhofer, Christoph; Morrison, David R.; Till, Oskar
- arXiv
Large U(1) charges in F-theory
journal, October 2018
- Raghuram, Nikhil; Taylor, Washington
- Journal of High Energy Physics, Vol. 2018, Issue 10
Comparing elliptic and toric hypersurface Calabi-Yau threefolds at large Hodge numbers
text, January 2018
- Huang, Yu-Chien; Taylor, Washington
- arXiv
F-theory on quotient threefolds with (2,0) discrete superconformal matter
journal, June 2018
- Anderson, Lara B.; Grassi, Antonella; Gray, James
- Journal of High Energy Physics, Vol. 2018, Issue 6
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
The frozen phase of F-theory
text, January 2018
- Bhardwaj, Lakshya; Morrison, David R.; Tachikawa, Yuji
- arXiv
Chiral four-dimensional F-theory compactifications with SU(5) and multiple U(1)-factors
journal, April 2014
- Cvetič, Mirjam; Grassi, Antonella; Klevers, Denis
- Journal of High Energy Physics, Vol. 2014, Issue 4
Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
journal, February 2019
- Kimura, Yusuke
- Journal of High Energy Physics, Vol. 2019, Issue 2
A bound on 6D 𝒩 = 1 supergravities
journal, December 2009
- Kumar, Vijay; Taylor, Washington
- Journal of High Energy Physics, Vol. 2009, Issue 12
Charge Lattices and Consistency of 6D Supergravity
text, January 2011
- Seiberg, Nathan; Taylor, Washington
- arXiv
Non-Higgsable abelian gauge symmetry and $\mathrm{F}$-theory on fiber products of rational elliptic surfaces
journal, January 2018
- Morrison, David R.; Park, Daniel S.; Taylor, Washington
- Advances in Theoretical and Mathematical Physics, Vol. 22, Issue 1
Global aspects of the space of 6D $ \mathcal{N} = 1 $ supergravities
journal, November 2010
- Kumar, Vijay; Morrison, David R.; Taylor, Washington
- Journal of High Energy Physics, Vol. 2010, Issue 11
Towards exotic matter and discrete non-abelian symmetries in F-theory
journal, November 2018
- Cvetič, Mirjam; Heckman, Jonathan J.; Lin, Ling
- Journal of High Energy Physics, Vol. 2018, Issue 11
F-theory models on K3 surfaces with various Mordell-Weil ranks — constructions that use quadratic base change of rational elliptic surfaces
journal, May 2018
- Kimura, Yusuke
- Journal of High Energy Physics, Vol. 2018, Issue 5
Classifying bases for 6D F-theory models
journal, January 2012
- Morrison, David; Taylor, Washington
- Open Physics, Vol. 10, Issue 5
6d string chains
journal, February 2018
- Gadde, Abhijit; Haghighat, Babak; Kim, Joonho
- Journal of High Energy Physics, Vol. 2018, Issue 2
F-theory vacua with gauge symmetry
journal, September 2015
- Cvetič, Mirjam; Donagi, Ron; Klevers, Denis
- Nuclear Physics B, Vol. 898
Tensionless Strings and the Weak Gravity Conjecture
text, January 2018
- Lee, Seung-Joo; Lerche, Wolfgang; Weigand, Timo
- arXiv
Exotic matter on singular divisors in F-theory
text, January 2017
- Klevers, Denis; Morrison, David R.; Raghuram, Nikhil
- arXiv
Topological strings on singular elliptic Calabi-Yau 3-folds and minimal 6d SCFTs
journal, March 2018
- Del Zotto, Michele; Gu, Jie; Huang, Min-xin
- Journal of High Energy Physics, Vol. 2018, Issue 3
Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
text, January 2018
- Kimura, Yusuke
- arXiv
Ueber den Zusammenhang zwischen einigen Formen von symmetrischen Functionen.
journal, January 1882
- Kostka, C.
- crll, Vol. 1882, Issue 93
A note on the Green-Schwarz mechanism in open-string theories
journal, November 1992
- Sagnotti, Augusto
- Physics Letters B, Vol. 294, Issue 2
A bound on 6D 𝒩 = 1 supergravities
journal, December 2009
- Kumar, Vijay; Taylor, Washington
- Journal of High Energy Physics, Vol. 2009, Issue 12
SU(5) Tops with Multiple U(1)s in F-theory
text, January 2013
- Borchmann, Jan; Mayrhofer, Christoph; Palti, Eran
- arXiv
F-Theory Vacua with Z_3 Gauge Symmetry
text, January 2015
- Cvetič, Mirjam; Donagi, Ron; Klevers, Denis
- arXiv