Abstract
Applying string dualities to F-theory, we obtain various [p, q]-branes whose constituents are standard branes of codimension two and exotic branes. We construct junctions of the exotic five-branes and their Hanany-Witten transitions associated with those in F-theory. In this procedure, we understand the monodromy of the single 5 22 -brane. We also find the objects which are sensitive to the branch cut of the 5 22 -brane. Considering the web of branes in the presence of multiple exotic five-branes analogous to the web of five-branes with multiple seven-branes, we obtain novel brane constructions for SU(2) gauge theories with n flavors and their superconformal limit with enhanced E n+1 symmetry in five, four, and three dimensions. Hence, adapting the techniques of the seven-branes to the exotic branes, we will be able to construct F-theories in diverse dimensions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. Blau and M. O’Loughlin, Aspects of U duality in matrix theory, Nucl. Phys. B 525 (1998) 182 [hep-th/9712047] [INSPIRE].
N.A. Obers and B. Pioline, U duality and M-theory, Phys. Rept. 318 (1999) 113 [hep-th/9809039] [INSPIRE].
E. Eyras and Y. Lozano, Exotic branes and nonperturbative seven-branes, Nucl. Phys. B 573 (2000) 735 [hep-th/9908094] [INSPIRE].
E. Lozano-Tellechea and T. Ortín, 7-branes and higher Kaluza-Klein branes, Nucl. Phys. B 607 (2001) 213 [hep-th/0012051] [INSPIRE].
J. de Boer and M. Shigemori, Exotic branes and non-geometric backgrounds, Phys. Rev. Lett. 104 (2010) 251603 [arXiv:1004.2521] [INSPIRE].
T. Kikuchi, T. Okada and Y. Sakatani, Rotating string in doubled geometry with generalized isometries, Phys. Rev. D 86 (2012) 046001 [arXiv:1205.5549] [INSPIRE].
B.R. Greene, A.D. Shapere, C. Vafa and S.-T. Yau, Stringy Cosmic Strings and Noncompact Calabi-Yau Manifolds, Nucl. Phys. B 337 (1990) 1 [INSPIRE].
C. Vafa, Evidence for F-theory, Nucl. Phys. B 469 (1996) 403 [hep-th/9602022] [INSPIRE].
E.A. Bergshoeff, T. Ortín and F. Riccioni, Defect Branes, Nucl. Phys. B 856 (2012) 210 [arXiv:1109.4484] [INSPIRE].
Y. Sakatani, Exotic branes and non-geometric fluxes, JHEP 03 (2015) 135 [arXiv:1412.8769] [INSPIRE].
T. Kimura, Defect (p, q) Five-branes, Nucl. Phys. B 893 (2015) 1 [arXiv:1410.8403] [INSPIRE].
T. Kimura, S. Sasaki and M. Yata, Hyper-Kähler with torsion, T-duality and defect (p, q) five-branes, JHEP 03 (2015) 076 [arXiv:1411.3457] [INSPIRE].
T. Kimura, Supersymmetry Projection Rules on Exotic Branes, accepted for publication in Prog. Theor. Exp. Phys. (2016) [arXiv:1601.02175] [INSPIRE].
T. Kimura, S. Sasaki and M. Yata, World-volume Effective Actions of Exotic Five-branes, JHEP 07 (2014) 127 [arXiv:1404.5442] [INSPIRE].
T. Kimura, S. Sasaki and M. Yata, World-volume Effective Action of Exotic Five-brane in M-theory, JHEP 02 (2016) 168 [arXiv:1601.05589] [INSPIRE].
T. Kimura and S. Sasaki, Gauged Linear σ-model for Exotic Five-brane, Nucl. Phys. B 876 (2013) 493 [arXiv:1304.4061] [INSPIRE].
T. Kimura and S. Sasaki, Worldsheet instanton corrections to 5 22 -brane geometry, JHEP 08 (2013) 126 [arXiv:1305.4439] [INSPIRE].
T. Kimura and S. Sasaki, Worldsheet Description of Exotic Five-brane with Two Gauged Isometries, JHEP 03 (2014) 128 [arXiv:1310.6163] [INSPIRE].
T. Kimura, N = (4, 4) Gauged Linear σ-models for Defect Five-branes, arXiv:1503.08635 [INSPIRE].
T. Kimura, Gauge-fixing Condition on Prepotential of Chiral Multiplet for Nongeometric Backgrounds, Prog. Theor. Exp. Phys. 2016 (2016) 023B04 [arXiv:1506.05005] [INSPIRE].
T. Kimura, Semi-doubled σ-models for Five-branes, JHEP 02 (2016) 013 [arXiv:1512.05548] [INSPIRE].
T. Okada and Y. Sakatani, Defect branes as Alice strings, JHEP 03 (2015) 131 [arXiv:1411.1043] [INSPIRE].
M.R. Gaberdiel and B. Zwiebach, Exceptional groups from open strings, Nucl. Phys. B 518 (1998) 151 [hep-th/9709013] [INSPIRE].
O. DeWolfe and B. Zwiebach, String junctions for arbitrary Lie algebra representations, Nucl. Phys. B 541 (1999) 509 [hep-th/9804210] [INSPIRE].
O. DeWolfe, Affine Lie algebras, string junctions and seven-branes, Nucl. Phys. B 550 (1999) 622 [hep-th/9809026] [INSPIRE].
O. DeWolfe, T. Hauer, A. Iqbal and B. Zwiebach, Uncovering the symmetries on [p, q] seven-branes: Beyond the Kodaira classification, Adv. Theor. Math. Phys. 3 (1999) 1785 [hep-th/9812028] [INSPIRE].
O. DeWolfe, T. Hauer, A. Iqbal and B. Zwiebach, Uncovering infinite symmetries on [p, q] 7-branes: Kac-Moody algebras and beyond, Adv. Theor. Math. Phys. 3 (1999) 1835 [hep-th/9812209] [INSPIRE].
A. Hanany and E. Witten, Type IIB superstrings, BPS monopoles and three-dimensional gauge dynamics, Nucl. Phys. B 492 (1997) 152 [hep-th/9611230] [INSPIRE].
A. Giveon and D. Kutasov, Brane dynamics and gauge theory, Rev. Mod. Phys. 71 (1999) 983 [hep-th/9802067] [INSPIRE].
O. Aharony, A. Hanany and B. Kol, Webs of (p, q) five-branes, five-dimensional field theories and grid diagrams, JHEP 01 (1998) 002 [hep-th/9710116] [INSPIRE].
O. DeWolfe, A. Hanany, A. Iqbal and E. Katz, Five-branes, seven-branes and five-dimensional E n field theories, JHEP 03 (1999) 006 [hep-th/9902179] [INSPIRE].
F. Benini, S. Benvenuti and Y. Tachikawa, Webs of five-branes and N = 2 superconformal field theories, JHEP 09 (2009) 052 [arXiv:0906.0359] [INSPIRE].
O. Bergman, D. Rodríguez-Gómez and G. Zafrir, Discrete θ and the 5d superconformal index, JHEP 01 (2014) 079 [arXiv:1310.2150] [INSPIRE].
L. Bao, V. Mitev, E. Pomoni, M. Taki and F. Yagi, Non-Lagrangian Theories from Brane Junctions, JHEP 01 (2014) 175 [arXiv:1310.3841] [INSPIRE].
H. Hayashi, H.-C. Kim and T. Nishinaka, Topological strings and 5d T N partition functions, JHEP 06 (2014) 014 [arXiv:1310.3854] [INSPIRE].
S.-S. Kim and F. Yagi, 5d E n Seiberg-Witten curve via toric-like diagram, JHEP 06 (2015) 082 [arXiv:1411.7903] [INSPIRE].
S.-S. Kim, M. Taki and F. Yagi, Tao Probing the End of the World, Prog. Theor. Exp. Phys. 2015 (2015) 083B02 [arXiv:1504.03672] [INSPIRE].
J. de Boer and M. Shigemori, Exotic Branes in String Theory, Phys. Rept. 532 (2013) 65 [arXiv:1209.6056] [INSPIRE].
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics, Phys. Lett. B 388 (1996) 753 [hep-th/9608111] [INSPIRE].
D. Lüst, S. Massai and V. Vall Camell, The monodromy of T-folds and T-fects, arXiv:1508.01193 [INSPIRE].
H.-C. Kim, S.-S. Kim and K. Lee, 5-dim Superconformal Index with Enhanced E n Global Symmetry, JHEP 10 (2012) 142 [arXiv:1206.6781] [INSPIRE].
J.A. Minahan and D. Nemeschansky, An N = 2 superconformal fixed point with E 6 global symmetry, Nucl. Phys. B 482 (1996) 142 [hep-th/9608047] [INSPIRE].
J.A. Minahan and D. Nemeschansky, Superconformal fixed points with E n global symmetry, Nucl. Phys. B 489 (1997) 24 [hep-th/9610076] [INSPIRE].
D. Andriot and A. Betz, β-supergravity: a ten-dimensional theory with non-geometric fluxes and its geometric framework, JHEP 12 (2013) 083 [arXiv:1306.4381] [INSPIRE].
D. Andriot and A. Betz, NS-branes, source corrected Bianchi identities and more on backgrounds with non-geometric fluxes, JHEP 07 (2014) 059 [arXiv:1402.5972] [INSPIRE].
C.D.A. Blair and E. Malek, Geometry and fluxes of SL(5) exceptional field theory, JHEP 03 (2015) 144 [arXiv:1412.0635] [INSPIRE].
D.S. Berman, C.D.A. Blair, E. Malek and F.J. Rudolph, An Action for F-theory: SL(2) × \( \mathbb{R} \) + Exceptional Field Theory, arXiv:1512.06115 [INSPIRE].
O. Hohm and Y.-N. Wang, Tensor hierarchy and generalized Cartan calculus in SL(3) × SL(2) exceptional field theory, JHEP 04 (2015) 050 [arXiv:1501.01600] [INSPIRE].
J.-H. Park and Y. Suh, U-geometry: SL(5), JHEP 04 (2013) 147 [Erratum ibid. 11 (2013) 210] [arXiv:1302.1652] [INSPIRE].
E.T. Musaev, Exceptional field theory: SL(5), JHEP 02 (2016) 012 [arXiv:1512.02163] [INSPIRE].
A. Abzalov, I. Bakhmatov and E.T. Musaev, Exceptional field theory: SO(5, 5), JHEP 06 (2015) 088 [arXiv:1504.01523] [INSPIRE].
O. Hohm and H. Samtleben, Exceptional Field Theory I: E 6(6) covariant Form of M-theory and Type IIB, Phys. Rev. D 89 (2014) 066016 [arXiv:1312.0614] [INSPIRE].
E. Musaev and H. Samtleben, Fermions and supersymmetry in E 6(6) exceptional field theory, JHEP 03 (2015) 027 [arXiv:1412.7286] [INSPIRE].
O. Hohm and H. Samtleben, Exceptional field theory. II. E 7(7), Phys. Rev. D 89 (2014) 066017 [arXiv:1312.4542] [INSPIRE].
O. Hohm and H. Samtleben, Exceptional field theory. III. E 8(8), Phys. Rev. D 90 (2014) 066002 [arXiv:1406.3348] [INSPIRE].
J.-H. Park and Y. Suh, U-gravity: SL(N ), JHEP 06 (2014) 102 [arXiv:1402.5027] [INSPIRE].
A. Kumar and C. Vafa, U manifolds, Phys. Lett. B 396 (1997) 85 [hep-th/9611007] [INSPIRE].
J.X. Lu and S. Roy, U duality p-branes in diverse dimensions, Nucl. Phys. B 538 (1999) 149 [hep-th/9805180] [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: 1602.08606
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, 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 license, and indicate if changes were made.
About this article
Cite this article
Kimura, T. Exotic brane junctions from F-theory. J. High Energ. Phys. 2016, 60 (2016). https://doi.org/10.1007/JHEP05(2016)060
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2016)060