Flavor symmetries and automatic enhancement in the 6D supergravity swampland
Abstract
We argue for the quantum-gravitational inconsistency of certain 6D $$\mathscr{N}$$ = (1,0) supergravity theories, whose anomaly-free gauge algebra g and hypermultiplet spectrum M were observed by Raghuram et al.to be realizable only as part of a larger gauge sector (g' ⊃ g, M' ⊃ M) in F-theory. To detach any reference to a string theoretic method of construction, we utilize flavor symmetries to provide compelling reasons why the vast majority of such (g, M) theories are not compatible with quantum gravity constraints, and how the “automatic enhancement” to (g',M') remedies this. In the first class of models, with g' = g ⊕ h, we show that there exists an unbroken flavor symmetry h acting on the matter M, which, if ungauged, would violate the no-global-symmetries hypothesis. This argument also applies to 1-form center symmetries, which govern the gauge group topology and massive states in representations different from those of massless states. In a second class, we find that g is incompatible with the flavor symmetry of certain supersymmetric strings that must exist by the completeness hypothesis.
- Publication Date:
- Research Org.:
- Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP); Simons Foundation; Slovenian Research Agency
- OSTI Identifier:
- 1844009
- Alternate Identifier(s):
- OSTI ID: 1980031
- Grant/Contract Number:
- SC0013528; 724069; P1-0306
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 105 Journal Issue: 4; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; gauge theories; higher-dimensional field theories; strings and branes; supergravity; symmetries
Citation Formats
Cvetič, Mirjam, Lin, Ling, and Turner, Andrew P. Flavor symmetries and automatic enhancement in the 6D supergravity swampland. United States: N. p., 2022.
Web. doi:10.1103/PhysRevD.105.046005.
Cvetič, Mirjam, Lin, Ling, & Turner, Andrew P. Flavor symmetries and automatic enhancement in the 6D supergravity swampland. United States. https://doi.org/10.1103/PhysRevD.105.046005
Cvetič, Mirjam, Lin, Ling, and Turner, Andrew P. Tue .
"Flavor symmetries and automatic enhancement in the 6D supergravity swampland". United States. https://doi.org/10.1103/PhysRevD.105.046005.
@article{osti_1844009,
title = {Flavor symmetries and automatic enhancement in the 6D supergravity swampland},
author = {Cvetič, Mirjam and Lin, Ling and Turner, Andrew P.},
abstractNote = {We argue for the quantum-gravitational inconsistency of certain 6D $\mathscr{N}$ = (1,0) supergravity theories, whose anomaly-free gauge algebra g and hypermultiplet spectrum M were observed by Raghuram et al.to be realizable only as part of a larger gauge sector (g' ⊃ g, M' ⊃ M) in F-theory. To detach any reference to a string theoretic method of construction, we utilize flavor symmetries to provide compelling reasons why the vast majority of such (g, M) theories are not compatible with quantum gravity constraints, and how the “automatic enhancement” to (g',M') remedies this. In the first class of models, with g' = g ⊕ h, we show that there exists an unbroken flavor symmetry h acting on the matter M, which, if ungauged, would violate the no-global-symmetries hypothesis. This argument also applies to 1-form center symmetries, which govern the gauge group topology and massive states in representations different from those of massless states. In a second class, we find that g is incompatible with the flavor symmetry of certain supersymmetric strings that must exist by the completeness hypothesis.},
doi = {10.1103/PhysRevD.105.046005},
journal = {Physical Review D},
number = 4,
volume = 105,
place = {United States},
year = {Tue Feb 08 00:00:00 EST 2022},
month = {Tue Feb 08 00:00:00 EST 2022}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.105.046005
https://doi.org/10.1103/PhysRevD.105.046005
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Cobordism conjecture, anomalies, and the String Lamppost Principle
journal, January 2021
- Montero, Miguel; Vafa, Cumrun
- Journal of High Energy Physics, Vol. 2021, Issue 1
Order Parameters and Color-Flavor Center Symmetry in QCD
journal, November 2017
- Cherman, Aleksey; Sen, Srimoyee; Ünsal, Mithat
- Physical Review Letters, Vol. 119, Issue 22
Higher form symmetries and M-theory
journal, December 2020
- Albertini, Federica; Del Zotto, Michele; García Etxebarria, Iñaki
- Journal of High Energy Physics, Vol. 2020, Issue 12
The Swampland: Introduction and Review
journal, April 2019
- Palti, Eran
- Fortschritte der Physik, Vol. 67, Issue 6
Charge lattices and consistency of 6D supergravity
journal, June 2011
- Seiberg, Nathan; Taylor, Washington
- Journal of High Energy Physics, Vol. 2011, Issue 6
Erratum to: On the classification of 6D SCFTs and generalized ADE orbifolds
journal, June 2015
- Heckman, Jonathan J.; Morrison, David R.; Vafa, Cumrun
- Journal of High Energy Physics, Vol. 2015, Issue 6
Non-simply-connected gauge groups and rational points on elliptic curves
journal, July 1998
- Aspinwall, Paul S.; Morrison, David R.
- Journal of High Energy Physics, Vol. 1998, Issue 07
String Universality and Non-Simply-Connected Gauge Groups in 8D
journal, November 2020
- Cvetič, Mirjam; Dierigl, Markus; Lin, Ling
- Physical Review Letters, Vol. 125, Issue 21
Matter and singularities
journal, January 2012
- Morrison, David R.; Taylor, Washington
- Journal of High Energy Physics, Vol. 2012, Issue 1
8d supergravity, reconstruction of internal geometry and the Swampland
journal, June 2021
- Hamada, Yuta; Vafa, Cumrun
- Journal of High Energy Physics, Vol. 2021, Issue 6
Anomaly of strings of 6d N = 1 0 $$ \mathcal{N}=\left(1,0\right) $$ theories
journal, November 2016
- Shimizu, Hiroyuki; Tachikawa, Yuji
- Journal of High Energy Physics, Vol. 2016, Issue 11
Symmetries and strings in field theory and gravity
journal, April 2011
- Banks, Tom; Seiberg, Nathan
- Physical Review D, Vol. 83, Issue 8
Monopoles, Duality, and String Theory
journal, February 2004
- Polchinski, Joe
- International Journal of Modern Physics A, Vol. 19, Issue supp01
Generalized global symmetries
journal, February 2015
- Gaiotto, Davide; Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2015, Issue 2
Anomalies in the space of coupling constants and their dynamical applications II
journal, January 2020
- Cordova, Clay; Freed, Daniel; Lam, Ho Tat
- SciPost Physics, Vol. 8, Issue 1
The string landscape, black holes and gravity as the weakest force
journal, June 2007
- Arkani-Hamed, Nima; Motl, Luboš; Nicolis, Alberto
- Journal of High Energy Physics, Vol. 2007, Issue 06
The global gauge group structure of F-theory compactification with U(1)s
journal, January 2018
- Cvetič, Mirjam; Lin, Ling
- Journal of High Energy Physics, Vol. 2018, Issue 1
String Universality in Ten Dimensions
journal, August 2010
- Adams, Allan; Taylor, Washington; DeWolfe, Oliver
- Physical Review Letters, Vol. 105, Issue 7
Time-reversal breaking in QCD4, walls, and dualities in 2 + 1 dimensions
journal, January 2018
- Gaiotto, Davide; Komargodski, Zohar; Seiberg, Nathan
- 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
String universality in six dimensions
journal, January 2011
- Kumar, Vijay; Taylor, Washington
- Advances in Theoretical and Mathematical Physics, Vol. 15, Issue 2
More anomaly free models of six-dimensional gauged supergravity
journal, June 2006
- Suzuki, Ryo; Tachikawa, Yuji
- Journal of Mathematical Physics, Vol. 47, Issue 6
Anomaly-free chiral theories in six dimensions
journal, January 1985
- Green, Michael B.; Schwarz, John H.; West, P. C.
- Nuclear Physics B, Vol. 254
A computation of Tr(−1)F in supersymmetric gauge theories with matter
journal, August 1983
- Cohen, Eyal; Gomez, Cesar
- Nuclear Physics B, Vol. 223, Issue 1
Branes and the swampland
journal, September 2019
- Kim, Hee-Cheol; Shiu, Gary; Vafa, Cumrun
- Physical Review D, Vol. 100, Issue 6
Swampland bounds on the Abelian gauge sector
journal, July 2019
- Lee, Seung-Joo; Weigand, Timo
- Physical Review D, Vol. 100, Issue 2
String defects, supersymmetry and the Swampland
journal, November 2020
- Angelantonj, Carlo; Bonnefoy, Quentin; Condeescu, Cezar
- Journal of High Energy Physics, Vol. 2020, Issue 11
Charge completeness and the massless charge lattice in F-theory models of supergravity
journal, December 2021
- Morrison, David R.; Taylor, Washington
- Journal of High Energy Physics, Vol. 2021, Issue 12
Coupling a QFT to a TQFT and duality
journal, April 2014
- Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2014, Issue 4
M-Strings
journal, August 2014
- Haghighat, Babak; Iqbal, Amer; Kozçaz, Can
- Communications in Mathematical Physics, Vol. 334, Issue 2
Phase transitions in M-theory and F-theory
journal, July 1996
- Witten, Edward
- Nuclear Physics B, Vol. 471, Issue 1-2
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
Anomaly cancellation in six dimensions
journal, April 1994
- Erler, Jens
- Journal of Mathematical Physics, Vol. 35, Issue 4
Generic matter representations in 6D supergravity theories
journal, May 2019
- Taylor, Washington; Turner, Andrew P.
- Journal of High Energy Physics, Vol. 2019, Issue 5
Higher-form symmetries in 5d
journal, September 2020
- Morrison, David R.; Schäfer-Nameki, Sakura; Willett, Brian
- Journal of High Energy Physics, Vol. 2020, Issue 9
Automatic enhancement in 6D supergravity and F-theory models
journal, July 2021
- Raghuram, Nikhil; Taylor, Washington; Turner, Andrew P.
- Journal of High Energy Physics, Vol. 2021, Issue 7
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
A note on the Green-Schwarz mechanism in open-string theories
journal, November 1992
- Sagnotti, Augusto
- Physics Letters B, Vol. 294, Issue 2
Top down approach to 6D SCFTs
journal, February 2019
- Heckman, Jonathan J.; Rudelius, Tom
- Journal of Physics A: Mathematical and Theoretical, Vol. 52, Issue 9
Tate’s algorithm and F-theory
journal, August 2011
- Katz, Sheldon; Morrison, David R.; Schäfer-Nameki, Sakura
- Journal of High Energy Physics, Vol. 2011, Issue 8
A bound on 6D 𝒩 = 1 supergravities
journal, December 2009
- Kumar, Vijay; Taylor, Washington
- Journal of High Energy Physics, Vol. 2009, Issue 12
Mapping 6D $ \mathcal{N} = 1 $ supergravities to F-theory
journal, February 2010
- Kumar, Vijay; Morrison, David R.; Taylor, Washington
- Journal of High Energy Physics, Vol. 2010, Issue 2
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
Anomaly equations and intersection theory
journal, January 2012
- Park, Daniel S.
- Journal of High Energy Physics, Vol. 2012, Issue 1
Anomaly constraints on deconfinement and chiral phase transition
journal, May 2018
- Shimizu, Hiroyuki; Yonekura, Kazuya
- Physical Review D, Vol. 97, Issue 10
F‐theory and unpaired tensors in 6D SCFTs and LSTs
journal, July 2016
- Morrison, David R.; Rudelius, Tom
- Fortschritte der Physik, Vol. 64, Issue 8-9
Mordell-Weil torsion and the global structure of gauge groups in F-theory
journal, October 2014
- Mayrhofer, Christoph; Morrison, David R.; Till, Oskar
- Journal of High Energy Physics, Vol. 2014, Issue 10
Gravitational anomalies
journal, April 1984
- Alvarez-Gaumé, Luis; Witten, Edward
- Nuclear Physics B, Vol. 234, Issue 2
Quantization of anomaly coefficients in 6D N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ supergravity
journal, February 2018
- Monnier, Samuel; Moore, Gregory W.; Park, Daniel S.
- Journal of High Energy Physics, Vol. 2018, Issue 2
Classifying bases for 6D F-theory models
journal, January 2012
- Morrison, David; Taylor, Washington
- Open Physics, Vol. 10, Issue 5
On the classification of 6D SCFTs and generalized ADE orbifolds
journal, May 2014
- Heckman, Jonathan J.; Morrison, David R.; Vafa, Cumrun
- Journal of High Energy Physics, Vol. 2014, Issue 5
Higher-form symmetries and their anomalies in M-/F-theory duality
journal, December 2021
- Cvetič, Mirjam; Dierigl, Markus; Lin, Ling
- Physical Review D, Vol. 104, Issue 12
Remarks on the Green–Schwarz Terms of Six-Dimensional Supergravity Theories
journal, February 2019
- Monnier, Samuel; Moore, Gregory W.
- Communications in Mathematical Physics, Vol. 372, Issue 3
8d gauge anomalies and the topological Green-Schwarz mechanism
journal, November 2017
- García-Etxebarria, Iñaki; Hayashi, Hirotaka; Ohmori, Kantaro
- Journal of High Energy Physics, Vol. 2017, Issue 11
Higher-form symmetries of 6d and 5d theories
journal, February 2021
- Bhardwaj, Lakshya; Schäfer-Nameki, Sakura
- Journal of High Energy Physics, Vol. 2021, Issue 2