Weaving the exotic web

Journal of High Energy Physics, Sep 2018

Abstract String and M-theory contain a family of branes forming U -duality multiplets. In particular, standard branes with codimension higher than or equal to two, can be explicitly found as supergravity solutions. However, whether domain-wall branes and space-filling branes can be found as supergravity solutions is still unclear. In this paper, we firstly provide a full list of exotic branes in type II string theory or M-theory compactified to three or higher dimensions. We show how to systematically obtain backgrounds of exotic domain-wall branes and space-filling branes as solutions of the double field theory or the exceptional field theory. Such solutions explicitly depend on the winding coordinates and cannot be given as solutions of the conventional supergravity theories. However, as the domain-wall solutions depend linearly on the winding coordinates, we describe them as solutions of deformed supergravities such as the Romans massive IIA supergravity or lower-dimensional gauged supergravities. We establish explicit relations among the domain-wall branes, the mixed-symmetry potentials, the locally non-geometric fluxes, and deformed supergravities.

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Weaving the exotic web

Journal of High Energy Physics September 2018, 2018:72 | Cite as Weaving the exotic web AuthorsAuthors and affiliations José J. Fernández-MelgarejoTetsuji KimuraYuho Sakatani Open Access Regular Article - Theoretical Physics First Online: 13 September 2018 Received: 12 June 2018 Accepted: 02 September 2018 10 Downloads Abstract String and M-theory contain a family of branes forming U -duality multiplets. In particular, standard branes with codimension higher than or equal to two, can be explicitly found as supergravity solutions. However, whether domain-wall branes and space-filling branes can be found as supergravity solutions is still unclear. In this paper, we firstly provide a full list of exotic branes in type II string theory or M-theory compactified to three or higher dimensions. We show how to systematically obtain backgrounds of exotic domain-wall branes and space-filling branes as solutions of the double field theory or the exceptional field theory. Such solutions explicitly depend on the winding coordinates and cannot be given as solutions of the conventional supergravity theories. However, as the domain-wall solutions depend linearly on the winding coordinates, we describe them as solutions of deformed supergravities such as the Romans massive IIA supergravity or lower-dimensional gauged supergravities. We establish explicit relations among the domain-wall branes, the mixed-symmetry potentials, the locally non-geometric fluxes, and deformed supergravities. Keywords D-branes Flux compactifications String Duality Supergravity Models  ArXiv ePrint: 1805.12117 Download to read the full article text Notes 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. References [1] 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].ADSCrossRefGoogle Scholar [2] M. Blau and M. O’Loughlin, Aspects of U duality in matrix theory, Nucl. Phys. B 525 (1998) 182 [hep-th/9712047] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [3] C.M. Hull, U duality and BPS spectrum of super Yang-Mills theory and M-theory, JHEP 07 (1998) 018 [hep-th/9712075] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [4] N.A. Obers, B. Pioline and E. Rabinovici, M theory and U duality on T d with gauge backgrounds, Nucl. Phys. B 525 (1998) 163 [hep-th/9712084] [INSPIRE]. [5] N.A. Obers and B. Pioline, U duality and M-theory, Phys. Rept. 318 (1999) 113 [hep-th/9809039] [INSPIRE].ADSCrossRefGoogle Scholar [6] E. Eyras and Y. Lozano, Exotic branes and nonperturbative seven-branes, Nucl. Phys. B 573 (2000) 735 [hep-th/9908094] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [7] E. Lozano-Tellechea and T. Ortín, 7-branes and higher Kaluza-Klein branes, Nucl. Phys. B 607 (2001) 213 [hep-th/0012051] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [8] E.A. Bergshoeff and F. Riccioni, D-brane Wess-Zumino terms and U-duality, JHEP 11 (2010) 139 [arXiv:1009.4657] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [9] E.A. Bergshoeff and F. Riccioni, String solitons and T-duality, JHEP 05 (2011) 131 [arXiv:1102.0934] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [10] E.A. Bergshoeff and F. Riccioni, Dual doubled geometry, Phys. Lett. B 702 (2011) 281 [arXiv:1106.0212] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [11] E.A. Bergshoeff and F. Riccioni, Branes and wrapping rules, Phys. Lett. B 704 (2011) 367 [arXiv:1108.5067] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [12] E.A. Bergshoeff, T. Ortín and F. Riccioni, Defect branes, Nucl. Phys. B 856 (2012) 210 [arXiv:1109.4484] [INSPIRE]. [13] E.A. Bergshoeff, A. Marrani and F. Riccioni, Brane orbits, Nucl. Phys. B 861 (2012) 104 [arXiv:1201.5819] [INSPIRE]. [14] E.A. Bergshoeff, A. Kleinschmidt and F. Riccioni, Supersymmetric domain walls, Phys. Rev. D 86 (2012) 085043 [arXiv:1206.5697] [INSPIRE]. [15] E.A. Bergshoeff, O. Hohm, V.A. Penas and F. Riccioni, Dual double field theory, JHEP 06 (2016) 026 [arXiv:1603.07380] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [16] D.M. Lombardo, F. Riccioni and S. Risoli, P fluxes and exotic branes, JHEP 12 (2016) 114 [arXiv:1610.07975] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [17] E.A. Bergshoeff and F. Riccioni, Wrapping rules (in) string theory, JHEP 01 (2018) 046 [arXiv:1710.00642] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [18] P.C. West, E 11 and M-theory, Class. Quant. Grav. 18 (2001) 4443 [hep-th/0104081] [INSPIRE]. [19] I. Schnakenburg and P.C. West, Kac-Moody symmetries of IIB supergravity, Phys. Lett. B 517 (2001) 421 [hep-th/0107181] [INSPIRE].ADSMathSciNetCrossRefGoogle Scholar [20] A. Kleinschmidt, I. Schnakenburg and P.C. West, Very extended Kac-Moody algebras and their interpretation at low level (...truncated)


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José J. Fernández-Melgarejo, Tetsuji Kimura, Yuho Sakatani. Weaving the exotic web, Journal of High Energy Physics, 2018, pp. 72, Volume 2018, Issue 9, DOI: 10.1007/JHEP09(2018)072