Abstract
We construct world-volume effective actions of exotic \( {5}_2^2 \)-branes in type IIA and IIB string theories. The effective actions are given in fully space-time covariant forms with two Killing vectors associated with background isometries. The effective theories are governed by the six-dimensional \( \mathcal{N} \) = (2, 0) tensor multiplet and \( \mathcal{N} \) = (1, 1) vector multiplet, respectively. Performing the S-duality transformation to the \( {5}_2^2 \)-brane effective action in type IIB string theory, we also work out the world-volume action of the \( {5}_3^2 \)-brane. We discuss some additional issues relevant to the exotic five-branes in type I and heterotic string theories.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
E. Eyras and Y. Lozano, Exotic branes and nonperturbative seven-branes, Nucl. Phys. B 573 (2000) 735 [hep-th/9908094] [INSPIRE].
J. de Boer and M. Shigemori, Exotic branes and non-geometric backgrounds, Phys. Rev. Lett. 104 (2010) 251603 [arXiv:1004.2521] [INSPIRE].
F. Haßler and D. Lüst, Non-commutative/non-associative IIA (IIB) Q- and R-branes and their intersections, JHEP 07 (2013) 048 [arXiv:1303.1413] [INSPIRE].
S. Elitzur, A. Giveon, D. Kutasov and E. Rabinovici, Algebraic aspects of matrix theory on T d, Nucl. Phys. B 509 (1998) 122 [hep-th/9707217] [INSPIRE].
N.A. Obers and B. Pioline, U duality and M-theory, Phys. Rept. 318 (1999) 113 [hep-th/9809039] [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].
J. de Boer and M. Shigemori, Exotic branes in string theory, Phys. Rept. 532 (2013) 65 [arXiv:1209.6056] [INSPIRE].
C.M. Hull, A geometry for non-geometric string backgrounds, JHEP 10 (2005) 065 [hep-th/0406102] [INSPIRE].
A. Dabholkar and C. Hull, Duality twists, orbifolds and fluxes, JHEP 09 (2003) 054 [hep-th/0210209] [INSPIRE].
S. Kachru, M.B. Schulz, P.K. Tripathy and S.P. Trivedi, New supersymmetric string compactifications, JHEP 03 (2003) 061 [hep-th/0211182] [INSPIRE].
E. Lozano-Tellechea and T. Ortín, 7-branes and higher Kaluza-Klein branes, Nucl. Phys. B 607 (2001) 213 [hep-th/0012051] [INSPIRE].
E.A. Bergshoeff and F. Riccioni, String solitons and T-duality, JHEP 05 (2011) 131 [arXiv:1102.0934] [INSPIRE].
E.A. Bergshoeff, T. Ortín and F. Riccioni, Defect branes, Nucl. Phys. B 856 (2012) 210 [arXiv:1109.4484] [INSPIRE].
E.A. Bergshoeff, A. Kleinschmidt and F. Riccioni, Supersymmetric domain walls, Phys. Rev. D 86 (2012) 085043 [arXiv:1206.5697] [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 \( 5{}_2{}^2 \) -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].
C.M. Hull, Doubled geometry and T-folds, JHEP 07 (2007) 080 [hep-th/0605149] [INSPIRE].
C. Albertsson, T. Kimura and R.A. Reid-Edwards, D-branes and doubled geometry, JHEP 04 (2009) 113 [arXiv:0806.1783] [INSPIRE].
C. Hull and B. Zwiebach, Double field theory, JHEP 09 (2009) 099 [arXiv:0904.4664] [INSPIRE].
C. Albertsson, S.-H. Dai, P.-W. Kao and F.-L. Lin, Double field theory for double D-branes, JHEP 09 (2011) 025 [arXiv:1107.0876] [INSPIRE].
O. Hohm, D. Lüst and B. Zwiebach, The spacetime of double field theory: review, remarks and outlook, Fortsch. Phys. 61 (2013) 926 [arXiv:1309.2977] [INSPIRE].
D. Andriot and A. Betz, NS-branes, source corrected Bianchi identities and more on backgrounds with non-geometric fluxes, arXiv:1402.5972 [INSPIRE].
J. Berkeley, D.S. Berman and F.J. Rudolph, Strings and branes are waves, JHEP 06 (2014) 006 [arXiv:1403.7198] [INSPIRE].
A. Chatzistavrakidis, F.F. Gautason, G. Moutsopoulos and M. Zagermann, Effective actions of non-geometric fivebranes, Phys. Rev. D 89 (2014) 066004 [arXiv:1309.2653] [INSPIRE].
R. Gregory, J.A. Harvey and G.W. Moore, Unwinding strings and T-duality of Kaluza-Klein and H-monopoles, Adv. Theor. Math. Phys. 1 (1997) 283 [hep-th/9708086] [INSPIRE].
C.G. Callan Jr., J.A. Harvey and A. Strominger, Worldbrane actions for string solitons, Nucl. Phys. B 367 (1991) 60 [INSPIRE].
T.H. Buscher, A symmetry of the string background field equations, Phys. Lett. B 194 (1987) 59 [INSPIRE].
P. Meessen and T. Ortín, An SL(2, \( \mathbb{Z} \)) multiplet of nine-dimensional type-II supergravity theories, Nucl. Phys. B 541 (1999) 195 [hep-th/9806120] [INSPIRE].
C.M. Hull, Gravitational duality, branes and charges, Nucl. Phys. B 509 (1998) 216 [hep-th/9705162] [INSPIRE].
E. Eyras, B. Janssen and Y. Lozano, Five-branes, KK-monopoles and T-duality, Nucl. Phys. B 531 (1998) 275 [hep-th/9806169] [INSPIRE].
E. Bergshoeff, B. Janssen and T. Ortín, Kaluza-Klein monopoles and gauged σ-models, Phys. Lett. B 410 (1997) 131 [hep-th/9706117] [INSPIRE].
P. Pasti, D.P. Sorokin and M. Tonin, Covariant action for a D = 11 five-brane with the chiral field, Phys. Lett. B 398 (1997) 41 [hep-th/9701037] [INSPIRE].
I.A. Bandos, A. Nurmagambetov and D.P. Sorokin, The type IIA NS5-brane, Nucl. Phys. B 586 (2000) 315 [hep-th/0003169] [INSPIRE].
C. Angelantonj and A. Sagnotti, Open strings, Phys. Rept. 371 (2002) 1 [Erratum ibid. 376 (2003) 339] [hep-th/0204089] [INSPIRE].
C.G. Callan Jr., J.A. Harvey and A. Strominger, World sheet approach to heterotic instantons and solitons, Nucl. Phys. B 359 (1991) 611 [INSPIRE].
J.M. Izquierdo and P.K. Townsend, Axionic defect anomalies and their cancellation, Nucl. Phys. B 414 (1994) 93 [hep-th/9307050] [INSPIRE].
J.D. Blum and J.A. Harvey, Anomaly inflow for gauge defects, Nucl. Phys. B 416 (1994) 119 [hep-th/9310035] [INSPIRE].
E. Witten, Small instantons in string theory, Nucl. Phys. B 460 (1996) 541 [hep-th/9511030] [INSPIRE].
O.J. Ganor and A. Hanany, Small E 8 instantons and tensionless noncritical strings, Nucl. Phys. B 474 (1996) 122 [hep-th/9602120] [INSPIRE].
J. Mourad, Anomalies of the SO(32) five-brane and their cancellation, Nucl. Phys. B 512 (1998) 199 [hep-th/9709012] [INSPIRE].
T. Kimura and S. Mizoguchi, Chiral zero modes on intersecting heterotic 5-branes, Class. Quant. Grav. 27 (2010) 185023 [arXiv:0905.2185] [INSPIRE].
T. Kimura and S. Mizoguchi, Chiral generations on intersecting 5-branes in heterotic string theory, JHEP 04 (2010) 028 [arXiv:0912.1334] [INSPIRE].
H. Imazato, S. Mizoguchi and M. Yata, Note on anomaly cancellation on SO(32) heterotic 5-brane, Mod. Phys. Lett. A 26 (2011) 1453 [arXiv:1010.1640] [INSPIRE].
S. Mizoguchi and M. Yata, Family unification via quasi-Nambu-Goldstone fermions in string theory, Prog. Theor. Exp. Phys. 2013 (2013) 053B01 [arXiv:1211.6135] [INSPIRE].
D. Andriot, Heterotic string from a higher dimensional perspective, Nucl. Phys. B 855 (2012) 222 [arXiv:1102.1434] [INSPIRE].
A. Flournoy, B. Wecht and B. Williams, Constructing nongeometric vacua in string theory, Nucl. Phys. B 706 (2005) 127 [hep-th/0404217] [INSPIRE].
P. Hořava and E. Witten, Heterotic and type-I string dynamics from eleven-dimensions, Nucl. Phys. B 460 (1996) 506 [hep-th/9510209] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [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: 1404.5442
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., Sasaki, S. & Yata, M. World-volume effective actions of exotic five-branes. J. High Energ. Phys. 2014, 127 (2014). https://doi.org/10.1007/JHEP07(2014)127
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2014)127