Abstract
We establish a brane-brane duality connecting T-branes to collections of ordinary D-branes. T-branes are intrinsically non-Abelian brane configurations with worldvolume flux, whereas their duals consist of Abelian brane systems that encode the T-brane data in their curvature. We argue that the new Abelian picture provides a reliable description of T-branes when their non-Abelian fields have large expectation values in string units. To confirm this duality, we match the energy density and all the electromagnetic couplings on both sides. A key step in this derivation is a non-trivial factorization of the symmetrized-trace non-Abelian Dirac-Born-Infeld action when evaluated on solutions of the α′ -corrected Hitchin system.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S. Cecotti, C. Cordova, J.J. Heckman and C. Vafa, T-branes and monodromy, JHEP07 (2011) 030 [arXiv:1010.5780] [INSPIRE].
R. Donagi, S. Katz and E. Sharpe, Spectra of D-branes with Higgs vevs, Adv. Theor. Math. Phys.8 (2004) 813 [hep-th/0309270] [INSPIRE].
H. Hayashi, T. Kawano, Y. Tsuchiya and T. Watari, Flavor structure in F-theory compactifications, JHEP08 (2010) 036 [arXiv:0910.2762] [INSPIRE].
C.-C. Chiou, A.E. Faraggi, R. Tatar and W. Walters, T-branes and Yukawa couplings, JHEP05 (2011) 023 [arXiv:1101.2455] [INSPIRE].
R. Donagi and M. Wijnholt, Gluing branes, I, JHEP05 (2013) 068 [arXiv:1104.2610] [INSPIRE].
R. Donagi and M. Wijnholt, Gluing branes II: flavour physics and string duality, JHEP05 (2013) 092 [arXiv:1112.4854] [INSPIRE].
A. Font, F. Marchesano, D. Regalado and G. Zoccarato, Up-type quark masses in SU(5) F-theory models, JHEP11 (2013) 125 [arXiv:1307.8089] [INSPIRE].
L.B. Anderson, J.J. Heckman and S. Katz, T-branes and geometry, JHEP05 (2014) 080 [arXiv:1310.1931] [INSPIRE].
M. Del Zotto, J.J. Heckman, A. Tomasiello and C. Vafa, 6d conformal matter, JHEP02 (2015) 054 [arXiv:1407.6359] [INSPIRE].
A. Collinucci and R. Savelli, T-branes as branes within branes, JHEP09 (2015) 161 [arXiv:1410.4178] [INSPIRE].
A. Collinucci and R. Savelli, F-theory on singular spaces, JHEP09 (2015) 100 [arXiv:1410.4867] [INSPIRE].
F. Marchesano, D. Regalado and G. Zoccarato, Yukawa hierarchies at the point of E8in F-theory, JHEP04 (2015) 179 [arXiv:1503.02683] [INSPIRE].
M. Cicoli, F. Quevedo and R. Valandro, De Sitter from T-branes, JHEP03 (2016) 141 [arXiv:1512.04558] [INSPIRE].
F. Carta, F. Marchesano and G. Zoccarato, Fitting fermion masses and mixings in F-theory GUTs, JHEP03 (2016) 126 [arXiv:1512.04846] [INSPIRE].
J.J. Heckman, T. Rudelius and A. Tomasiello, 6D RG flows and nilpotent hierarchies, JHEP07 (2016) 082 [arXiv:1601.04078] [INSPIRE].
A. Collinucci, S. Giacomelli, R. Savelli and R. Valandro, T-branes through 3d mirror symmetry, JHEP07 (2016) 093 [arXiv:1603.00062] [INSPIRE].
I. Bena, J. Blåbäck, R. Minasian and R. Savelli, There and back again: a T-brane’s tale, JHEP11 (2016) 179 [arXiv:1608.01221] [INSPIRE].
F. Marchesano and S. Schwieger, T-branes and 𝛼′-corrections, JHEP11 (2016) 123 [arXiv:1609.02799] [INSPIRE].
N. Mekareeya, T. Rudelius and A. Tomasiello, T-branes, anomalies and moduli spaces in 6D SCFTs, JHEP10 (2017) 158 [arXiv:1612.06399] [INSPIRE].
J.M. Ashfaque, Monodromic T-branes and the SO(10)GUT , arXiv:1701.05896 [INSPIRE].
L.B. Anderson, J.J. Heckman, S. Katz and L.P. Schaposnik, T-branes at the limits of geometry, JHEP10 (2017) 058 [arXiv:1702.06137] [INSPIRE].
I. Bena, J. Blåbück and R. Savelli, T-branes and matrix models, JHEP06 (2017) 009 [arXiv:1703.06106] [INSPIRE].
A. Collinucci, S. Giacomelli and R. Valandro, T-branes, monopoles and S-duality, JHEP10 (2017) 113 [arXiv:1703.09238] [INSPIRE].
M. Cicoli, I. Garcìa-Etxebarria, C. Mayrhofer, F. Quevedo, P. Shukla and R. Valandro, Global orientifolded quivers with inflation, JHEP11 (2017) 134 [arXiv:1706.06128] [INSPIRE].
F. Marchesano, R. Savelli and S. Schwieger, Compact T-branes, JHEP09 (2017) 132 [arXiv:1707.03797] [INSPIRE].
L.B. Anderson, L. Fredrickson, M. Esole and L.P. Schaposnik, Singular geometry and Higgs bundles in string theory, SIGMA14 (2018) 037 [arXiv:1710.08453] [INSPIRE].
F. Apruzzi, J.J. Heckman, D.R. Morrison and L. Tizzano, 4D gauge theories with conformal matter, JHEP09 (2018) 088 [arXiv:1803.00582] [INSPIRE].
M. Cvetǐc, J.J. Heckman and L. Lin, Towards exotic matter and discrete non-Abelian symmetries in F-theory, JHEP11 (2018) 001 [arXiv:1806.10594] [INSPIRE].
J.J. Heckman, T. Rudelius and A. Tomasiello, Fission, fusion and 6D RG flows, JHEP02 (2019) 167 [arXiv:1807.10274] [INSPIRE].
F. Apruzzi, F. Hassler, J.J. Heckman and T.B. Rochais, Nilpotent networks and 4D RG flows, JHEP05 (2019) 074 [arXiv:1808.10439] [INSPIRE].
F. Carta, S. Giacomelli and R. Savelli, SUSY enhancement from T-branes, JHEP12 (2018) 127 [arXiv:1809.04906] [INSPIRE].
F. Marchesano, R. Savelli and S. Schwieger, T-branes and defects, JHEP04 (2019) 110 [arXiv:1902.04108] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP12 (1999) 022 [hep-th/9910053] [INSPIRE].
N.R. Constable, R.C. Myers and O. Tafjord, The noncommutative bion core, Phys. Rev.D 61 (2000) 106009 [hep-th/9911136] [INSPIRE].
N.J. Hitchin, The selfduality equations on a Riemann surface, Proc. Lond. Math. Soc.55 (1987) 59 [INSPIRE].
A.A. Tseytlin, On non-Abelian generalization of Born-Infeld action in string theory, Nucl. Phys.B 501 (1997) 41 [hep-th/9701125] [INSPIRE].
A. Hashimoto and W. Taylor, Fluctuation spectra of tilted and intersecting D-branes from the Born-Infeld action, Nucl. Phys.B 503 (1997) 193 [hep-th/9703217] [INSPIRE].
P. Bain, On the non-Abelian Born-Infeld action, in Proceedings, NATO Advanced Study Institute on Progress in String Theory and M-theory, Cargese, France, 24 May–5 June 1999, pg. 313 [hep-th/9909154] [INSPIRE].
R.C. Myers, Non-Abelian phenomena on D-branes, Class. Quant. Grav.20 (2003) S347 [hep-th/0303072] [INSPIRE].
I. Bena, J. Blåbäck, R. Savelli and G. Zoccarato, Supplementary mathematica notebook, https://gitlab.com/johanbluecreek/T-brane duality.
M.B. Green, J.A. Harvey and G.W. Moore, I-brane inflow and anomalous couplings on D-branes, Class. Quant. Grav.14 (1997) 47 [hep-th/9605033] [INSPIRE].
Y.-K.E. Cheung and Z. Yin, Anomalies, branes and currents, Nucl. Phys.B 517 (1998) 69 [hep-th/9710206] [INSPIRE].
R. Minasian and G.W. Moore, K theory and Ramond-Ramond charge, JHEP11 (1997) 002 [hep-th/9710230] [INSPIRE].
C.P. Bachas, P. Bain and M.B. Green, Curvature terms in D-brane actions and their M-theory origin, JHEP05 (1999) 011 [hep-th/9903210] [INSPIRE].
R. Minasian and A. Tomasiello, Variations on stability, Nucl. Phys.B 631 (2002) 43 [hep-th/0104041] [INSPIRE].
A. Butti, D. Forcella, L. Martucci, R. Minasian, M. Petrini and A. Zaffaroni, On the geometry and the moduli space of beta-deformed quiver gauge theories, JHEP07 (2008) 053 [arXiv:0712.1215] [INSPIRE].
F. Marchesano, P. McGuirk and G. Shiu, Chiral matter wavefunctions in warped compactifications, JHEP05 (2011) 090 [arXiv:1012.2759] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1905.03267
Electronic supplementary material
ESM 1
(GZ 129 kb)
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Bena, I., Blåbäck, J., Savelli, R. et al. The two faces of T-branes. J. High Energ. Phys. 2019, 150 (2019). https://doi.org/10.1007/JHEP10(2019)150
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2019)150