An infinite swampland of U(1) charge spectra in 6D supergravity theories

Taylor, Washington; Turner, Andrew P.

doi:10.1007/jhep06(2018)010

Title: An infinite swampland of U(1) charge spectra in 6D supergravity theories

Journal Article · Fri Jun 01 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep06(2018)010· OSTI ID:1505578

Taylor, Washington ^[1];

^[1]

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

We analyze the anomaly constraints on 6D supergravity theories with a single abelian U(1) gauge factor. For theories with charges restricted to q = ±1, ±2 and no tensor multiplets, anomaly-free models match those models that can be realized from F-theory compactifications almost perfectly. For theories with tensor multiplets or with larger charges, the F-theory constraints are less well understood. We show, however, that there is an infinite class of distinct massless charge spectra in the “swampland” of theories that satisfy all known quantum consistency conditions but do not admit a realization through F-theory or any other known approach to string compactification. We also compare the spectra of charged matter in abelian theories with those that can be realized from breaking nonabelian SU(2) and higher rank gauge symmetries.

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

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0012567

OSTI ID:: 1505578

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 6; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 22 works

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References (51)

General U(1)×U(1) F-theory compactifications and beyond: geometry of unHiggsings and novel matter structure Cvetič, Mirjam; Klevers, Denis; Piragua, Hernan Journal of High Energy Physics, Vol. 2015, Issue 11 https://doi.org/10.1007/JHEP11(2015)204	journal	November 2015
On the geometry of the string landscape and the swampland Ooguri, Hirosi; Vafa, Cumrun Nuclear Physics B, Vol. 766, Issue 1-3 https://doi.org/10.1016/j.nuclphysb.2006.10.033	journal	March 2007
Constraints on 6D supergravity theories with abelian gauge symmetry Park, Daniel S.; Taylor, Washington Journal of High Energy Physics, Vol. 2012, Issue 1 https://doi.org/10.1007/JHEP01(2012)141	journal	January 2012
Charge lattices and consistency of 6D supergravity Seiberg, Nathan; Taylor, Washington Journal of High Energy Physics, Vol. 2011, Issue 6 https://doi.org/10.1007/JHEP06(2011)001	journal	June 2011
Geometric engineering in toric F-theory and GUTs with U(1) gauge factors Braun, Volker; Grimm, Thomas W.; Keitel, Jan Journal of High Energy Physics, Vol. 2013, Issue 12 https://doi.org/10.1007/JHEP12(2013)069	journal	December 2013
Matter and singularities Morrison, David R.; Taylor, Washington Journal of High Energy Physics, Vol. 2012, Issue 1 https://doi.org/10.1007/JHEP01(2012)022	journal	January 2012
A note on the Green-Schwarz mechanism in open-string theories Sagnotti, Augusto Physics Letters B, Vol. 294, Issue 2 https://doi.org/10.1016/0370-2693(92)90682-T	journal	November 1992
6D supergravity without tensor multiplets Kumar, Vijay; Park, Daniel S.; Taylor, Washington Journal of High Energy Physics, Vol. 2011, Issue 4 https://doi.org/10.1007/JHEP04(2011)080	journal	April 2011
F-theory and all things rational: surveying U(1) symmetries with rational sections Lawrie, Craig; Schäfer-Nameki, Sakura; Wong, Jin-Mann Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)144	journal	September 2015
Geometric engineering on flops of length two Collinucci, Andrés; Fazzi, Marco; Valandro, Roberto Journal of High Energy Physics, Vol. 2018, Issue 4 https://doi.org/10.1007/JHEP04(2018)090	journal	April 2018
Exotic matter on singular divisors in F-theory Klevers, Denis; Morrison, David R.; Raghuram, Nikhil Journal of High Energy Physics, Vol. 2017, Issue 11 https://doi.org/10.1007/JHEP11(2017)124	journal	November 2017
Symmetries and strings in field theory and gravity Banks, Tom; Seiberg, Nathan Physical Review D, Vol. 83, Issue 8 https://doi.org/10.1103/PhysRevD.83.084019	journal	April 2011
A bound on 6D 𝒩 = 1 supergravities Kumar, Vijay; Taylor, Washington Journal of High Energy Physics, Vol. 2009, Issue 12 https://doi.org/10.1088/1126-6708/2009/12/050	journal	December 2009
Mapping 6D $ \mathcal{N} = 1 $ supergravities to F-theory Kumar, Vijay; Morrison, David R.; Taylor, Washington Journal of High Energy Physics, Vol. 2010, Issue 2 https://doi.org/10.1007/JHEP02(2010)099	journal	February 2010
6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces Martini, Gabriella; Taylor, Washington Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)061	journal	June 2015
Generalized Green-Schwarz mechanism in F theory Sadov, V. Physics Letters B, Vol. 388, Issue 1 https://doi.org/10.1016/0370-2693(96)01134-3	journal	November 1996
Global aspects of the space of 6D $ \mathcal{N} = 1 $ supergravities Kumar, Vijay; Morrison, David R.; Taylor, Washington Journal of High Energy Physics, Vol. 2010, Issue 11 https://doi.org/10.1007/JHEP11(2010)118	journal	November 2010
An SU(2) anomaly Witten, Edward Physics Letters B, Vol. 117, Issue 5 https://doi.org/10.1016/0370-2693(82)90728-6	journal	November 1982
F-theory on all toric hypersurface fibrations and its Higgs branches Klevers, Denis; Mayorga Peña, Damián Kaloni; Oehlmann, Paul-Konstantin Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)142	journal	January 2015
The arithmetic of elliptic fibrations in gauge theories on a circle Grimm, Thomas W.; Kapfer, Andreas; Klevers, Denis Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)112	journal	June 2016
Anomaly equations and intersection theory Park, Daniel S. Journal of High Energy Physics, Vol. 2012, Issue 1 https://doi.org/10.1007/JHEP01(2012)093	journal	January 2012
Compactifications of F-theory on Calabi-Yau threefolds (II) Morrison, David R.; Vafa, Cumrun Nuclear Physics B, Vol. 476, Issue 3 https://doi.org/10.1016/0550-3213(96)00369-0	journal	September 1996
String universality in six dimensions Kumar, Vijay; Taylor, Washington Advances in Theoretical and Mathematical Physics, Vol. 15, Issue 2 https://doi.org/10.4310/ATMP.2011.v15.n2.a3	journal	January 2011
F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds Morrison, David R.; Park, Daniel S. Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)128	journal	October 2012
More anomaly free models of six-dimensional gauged supergravity Suzuki, Ryo; Tachikawa, Yuji Journal of Mathematical Physics, Vol. 47, Issue 6 https://doi.org/10.1063/1.2209767	journal	June 2006
Anomaly-free chiral theories in six dimensions Green, Michael B.; Schwarz, John H.; West, P. C. Nuclear Physics B, Vol. 254 https://doi.org/10.1016/0550-3213(85)90222-6	journal	January 1985
Mordell-Weil torsion and the global structure of gauge groups in F-theory Mayrhofer, Christoph; Morrison, David R.; Till, Oskar Journal of High Energy Physics, Vol. 2014, Issue 10 https://doi.org/10.1007/JHEP10(2014)016	journal	October 2014
Three-index symmetric matter representations of SU(2) in F-theory from non-Tate form Weierstrass models Klevers, Denis; Taylor, Washington Journal of High Energy Physics, Vol. 2016, Issue 6 https://doi.org/10.1007/JHEP06(2016)171	journal	June 2016
Quantization of anomaly coefficients in 6D N = 1 , 0 $$ \mathcal{N}=\left(1,\;0\right) $$ supergravity Monnier, Samuel; Moore, Gregory W.; Park, Daniel S. Journal of High Energy Physics, Vol. 2018, Issue 2 https://doi.org/10.1007/JHEP02(2018)020	journal	February 2018
Tuned and non-Higgsable U(1)s in F-theory Wang, Yi-Nan Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)140	journal	March 2017
Complete intersection fibers in F-theory Braun, Volker; Grimm, Thomas W.; Keitel, Jan Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)125	journal	March 2015
Abelian F-theory models with charge-3 and charge-4 matter Raghuram, Nikhil Journal of High Energy Physics, Vol. 2018, Issue 5 https://doi.org/10.1007/JHEP05(2018)050	journal	May 2018
Anomalies and the Euler characteristic of elliptic Calabi–Yau threefolds Grassi, Antonella; Morrison, David R. Communications in Number Theory and Physics, Vol. 6, Issue 1 https://doi.org/10.4310/CNTP.2012.v6.n1.a2	journal	January 2012
Compactifications of F-theory on Calabi-Yau threefolds. (I) Morrison, David R.; Vafa, Cumrun Nuclear Physics B, Vol. 473, Issue 1-2 https://doi.org/10.1016/0550-3213(96)00242-8	journal	August 1996
Anomaly cancellation in six dimensions Erler, Jens Journal of Mathematical Physics, Vol. 35, Issue 4 https://doi.org/10.1063/1.530885	journal	April 1994
String Universality in Six Dimensions Kumar, Vijay; Taylor, Washington arXiv https://doi.org/10.48550/arxiv.0906.0987	preprint	January 2009
A bound on 6D N=1 supergravities Kumar, Vijay; Taylor, Washington arXiv https://doi.org/10.48550/arxiv.0910.1586	text	January 2009
Charge Lattices and Consistency of 6D Supergravity Seiberg, Nathan; Taylor, Washington arXiv https://doi.org/10.48550/arxiv.1103.0019	text	January 2011
Anomalies and the Euler characteristic of elliptic Calabi-Yau threefolds Grassi, Antonella; Morrison, David R. arXiv https://doi.org/10.48550/arxiv.1109.0042	preprint	January 2011
Constraints on 6D Supergravity Theories with Abelian Gauge Symmetry Park, Daniel S.; Taylor, Washington arXiv https://doi.org/10.48550/arxiv.1110.5916	text	January 2011
Anomaly Equations and Intersection Theory Park, Daniel S. arXiv https://doi.org/10.48550/arxiv.1111.2351	text	January 2011
6D F-theory models and elliptically fibered Calabi-Yau threefolds over semi-toric base surfaces Martini, Gabriella; Taylor, Washington arXiv https://doi.org/10.48550/arxiv.1404.6300	preprint	January 2014
Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory Mayrhofer, Christoph; Morrison, David R.; Till, Oskar arXiv https://doi.org/10.48550/arxiv.1405.3656	text	January 2014
Complete Intersection Fibers in F-Theory Braun, Volker; Grimm, Thomas W.; Keitel, Jan arXiv https://doi.org/10.48550/arxiv.1411.2615	preprint	January 2014
F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections Lawrie, Craig; Schafer-Nameki, Sakura; Wong, Jin-Mann arXiv https://doi.org/10.48550/arxiv.1504.05593	text	January 2015
General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure Cvetic, Mirjam; Klevers, Denis; Piragua, Hernan arXiv https://doi.org/10.48550/arxiv.1507.05954	text	January 2015
Three-Index Symmetric Matter Representations of SU(2) in F-Theory from Non-Tate Form Weierstrass Models Klevers, Denis; Taylor, Washington arXiv https://doi.org/10.48550/arxiv.1604.01030	text	January 2016
Exotic matter on singular divisors in F-theory Klevers, Denis; Morrison, David R.; Raghuram, Nikhil arXiv https://doi.org/10.48550/arxiv.1706.08194	text	January 2017
The Global Gauge Group Structure of F-theory Compactification with U(1)s Cvetic, Mirjam; Lin, Ling arXiv https://doi.org/10.48550/arxiv.1706.08521	text	January 2017
Abelian F-theory Models with Charge-3 and Charge-4 Matter Raghuram, Nikhil arXiv https://doi.org/10.48550/arxiv.1711.03210	text	January 2017
Geometric engineering on flops of length two Collinucci, Andrés; Fazzi, Marco; Valandro, Roberto arXiv https://doi.org/10.48550/arxiv.1802.00813	text	January 2018

Cited By (4)

Remarks on the Green–Schwarz Terms of Six-Dimensional Supergravity Theories Monnier, Samuel; Moore, Gregory W. Communications in Mathematical Physics, Vol. 372, Issue 3 https://doi.org/10.1007/s00220-019-03341-7	journal	February 2019
Swampland bounds on the Abelian gauge sector Lee, Seung-Joo; Weigand, Timo Physical Review D, Vol. 100, Issue 2 https://doi.org/10.1103/physrevd.100.026015	journal	July 2019
Remarks on the Green-Schwarz terms of six-dimensional supergravity theories Monnier, Samuel; Moore, Gregory W. arXiv https://doi.org/10.48550/arxiv.1808.01334	text	January 2018
Swampland Bounds on the Abelian Gauge Sector Lee, Seung-Joo; Weigand, Timo arXiv https://doi.org/10.48550/arxiv.1905.13213	text	January 2019

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