Branes and the swampland
Abstract
Completeness of the spectrum of charged branes in a quantum theory of gravity naturally motivates the question of whether the consistency of what lives on the branes can be used to explain some of the swampland conditions. In this paper, we focus on consistency of what lives on string probes to show that some of the theories with N = (1,0) supersymmetry in ten dimensions and six dimensions, which are otherwise consistent looking, belong to the swampland. Gravitational and gauge group anomaly inflow on these probes can be used to compute the gravitational central charges (cL,cR) as well as the level of the group’s current algebra kL. The fact that the left-moving central charge on the string probes should be large enough to allow unitary representations of the current algebra with a given level can be used to rule out some theories. This, in particular, explains why it has not been possible to construct the corresponding theories from string theory.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Wisconsin, Madison, WI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1560717
- Alternate Identifier(s):
- OSTI ID: 1612734
- Grant/Contract Number:
- SC0017647
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 100 Journal Issue: 6; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; Astronomy & Astrophysics; Physics; Anomalies; Strings & branes; Supergravity
Citation Formats
Kim, Hee-Cheol, Shiu, Gary, and Vafa, Cumrun. Branes and the swampland. United States: N. p., 2019.
Web. doi:10.1103/PhysRevD.100.066006.
Kim, Hee-Cheol, Shiu, Gary, & Vafa, Cumrun. Branes and the swampland. United States. https://doi.org/10.1103/PhysRevD.100.066006
Kim, Hee-Cheol, Shiu, Gary, and Vafa, Cumrun. Thu .
"Branes and the swampland". United States. https://doi.org/10.1103/PhysRevD.100.066006.
@article{osti_1560717,
title = {Branes and the swampland},
author = {Kim, Hee-Cheol and Shiu, Gary and Vafa, Cumrun},
abstractNote = {Completeness of the spectrum of charged branes in a quantum theory of gravity naturally motivates the question of whether the consistency of what lives on the branes can be used to explain some of the swampland conditions. In this paper, we focus on consistency of what lives on string probes to show that some of the theories with N = (1,0) supersymmetry in ten dimensions and six dimensions, which are otherwise consistent looking, belong to the swampland. Gravitational and gauge group anomaly inflow on these probes can be used to compute the gravitational central charges (cL,cR) as well as the level of the group’s current algebra kL. The fact that the left-moving central charge on the string probes should be large enough to allow unitary representations of the current algebra with a given level can be used to rule out some theories. This, in particular, explains why it has not been possible to construct the corresponding theories from string theory.},
doi = {10.1103/PhysRevD.100.066006},
journal = {Physical Review D},
number = 6,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}
https://doi.org/10.1103/PhysRevD.100.066006
Web of Science
Works referenced in this record:
An orientifold of Type-IIB theory on K3
journal, July 1996
- Dabholkar, Atish; Park, Jaemo
- Nuclear Physics B, Vol. 472, Issue 1-2
Comments on string dynamics in six dimensions
journal, July 1996
- Seiberg, N.; Witten, E.
- Nuclear Physics B, Vol. 471, Issue 1-2
Large U(1) charges in F-theory
journal, October 2018
- Raghuram, Nikhil; Taylor, Washington
- Journal of High Energy Physics, Vol. 2018, Issue 10
Generic matter representations in 6D supergravity theories
journal, May 2019
- Taylor, Washington; Turner, Andrew P.
- Journal of High Energy Physics, Vol. 2019, Issue 5
Strings on orientifolds
journal, October 1996
- Dabholkar, Atish; Park, Jaemo
- Nuclear Physics B, Vol. 477, Issue 3
The Swampland: Introduction and Review
journal, April 2019
- Palti, Eran
- Fortschritte der Physik, Vol. 67, Issue 6
Anomaly inflow for gauge defects
journal, March 1994
- Blum, Julie; Harvey, Jeffrey A.
- Nuclear Physics B, Vol. 416, Issue 1
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
The Self-Dual String and Anomalies in the M5-brane
journal, November 2004
- Berman, David S.; Harvey, Jeffrey A.
- Journal of High Energy Physics, Vol. 2004, Issue 11
Anomalies and fermion zero modes on strings and domain walls
journal, January 1985
- Callan, C. G.; Harvey, J. A.
- Nuclear Physics B, Vol. 250, Issue 1-4
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
Anomaly cancellations in supersymmetric D = 10 gauge theory and superstring theory
journal, December 1984
- Green, Michael B.; Schwarz, John H.
- Physics Letters B, Vol. 149, Issue 1-3
A note on the Green-Schwarz mechanism in open-string theories
journal, November 1992
- Sagnotti, Augusto
- Physics Letters B, Vol. 294, Issue 2
6D supergravity without tensor multiplets
journal, April 2011
- Kumar, Vijay; Park, Daniel S.; Taylor, Washington
- Journal of High Energy Physics, Vol. 2011, Issue 4
Self-Dual Strings in Six Dimensions: Anomalies, the ADE-Classification, and the World-Sheet WZW-Model
journal, March 2005
- Henningson, Måns
- Communications in Mathematical Physics, Vol. 257, Issue 2
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
Ten-dimensional Maxwell-Einstein supergravity, its currents, and the issue of its auxiliary fields
journal, February 1982
- Bergshoeff, E.; De Roo, M.; De Wit, B.
- Nuclear Physics B, Vol. 195, Issue 1
Symmetries and strings in field theory and gravity
journal, April 2011
- Banks, Tom; Seiberg, Nathan
- Physical Review D, Vol. 83, Issue 8
Anomaly-free supersymmetric models in six dimensions
journal, March 1996
- Schwarz, John H.
- Physics Letters B, Vol. 371, Issue 3-4
A bound on 6D 𝒩 = 1 supergravities
journal, December 2009
- Kumar, Vijay; Taylor, Washington
- Journal of High Energy Physics, Vol. 2009, Issue 12
Black holes and Calabi–Yau threefolds
journal, January 1998
- Vafa, Cumrun
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 1
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
Monopoles, Duality, and String Theory
journal, February 2004
- Polchinski, Joe
- International Journal of Modern Physics A, Vol. 19, Issue supp01
Gravitational anomaly cancellation for $M$-theory fivebranes
journal, January 1998
- Freed, Dan; Harvey, Jeffrey A.; Minasian, Ruben
- Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 3
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
F-Theory, spinning black holes and multi-string branches
journal, January 2016
- Haghighat, Babak; Murthy, Sameer; Vafa, Cumrun
- Journal of High Energy Physics, Vol. 2016, Issue 1
String Universality in Ten Dimensions
journal, August 2010
- Adams, Allan; Taylor, Washington; DeWolfe, Oliver
- Physical Review Letters, Vol. 105, Issue 7
Microscopic origin of the Bekenstein-Hawking entropy
journal, June 1996
- Strominger, Andrew; Vafa, Cumrun
- Physics Letters B, Vol. 379, Issue 1-4
String universality in six dimensions
journal, January 2011
- Kumar, Vijay; Taylor, Washington
- Advances in Theoretical and Mathematical Physics, Vol. 15, Issue 2
Zero and one-dimensional probes with N = 8 supersymmetry
journal, May 1997
- Banks, Tom; Seiberg, Nathan; Silverstein, Eva
- Physics Letters B, Vol. 401, Issue 1-2
Weak Gravity Conjecture from Unitarity and Causality
journal, July 2019
- Hamada, Yuta; Noumi, Toshifumi; Shiu, Gary
- Physical Review Letters, Vol. 123, Issue 5
Unification of Yang-Mills theory and supergravity in ten dimensions
journal, January 1983
- Chapline, G. F.; Manton, N. S.
- Physics Letters B, Vol. 120, Issue 1-3
Positivity of Curvature-Squared Corrections in Gravity
journal, February 2017
- Cheung, Clifford; Remmen, Grant N.
- Physical Review Letters, Vol. 118, Issue 5