Abstract
We show how the Wess-Zumino terms of the different branes in string theory can be embedded within double field theory. Crucial ingredients in our construction are the identification of the correct brane charge tensors and the use of the double field theory potentials that arise from dualizing the standard double field theory fields. This leads to a picture where under T-duality the brane does not change its worldvolume directions but where, instead, it shows different faces depending on whether some of the worldvolume and/or transverse directions invade the winding space. As a non-trivial by-product we show how the different Wess-Zumino terms are modified when the brane propagates in a background with a non-zero Romans mass parameter. Furthermore, we show that for non-zero mass parameter the brane creation process, when one brane passes through another brane, gets generalized to brane configurations that involve exotic branes as well.
References
C.M. Hull, String dynamics at strong coupling, Nucl. Phys.B 468 (1996) 113 [hep-th/9512181] [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, B. Pioline and E. Rabinovici, M theory and U duality on T dwith gauge backgrounds, Nucl. Phys.B 525 (1998) 163 [hep-th/9712084] [INSPIRE].
C.M. Hull, Gravitational duality, branes and charges, Nucl. Phys.B 509 (1998) 216 [hep-th/9705162] [INSPIRE].
M. Blau and M. O’Loughlin, Aspects of U duality in matrix theory, Nucl. Phys.B 525 (1998) 182 [hep-th/9712047] [INSPIRE].
C.M. Hull, U duality and BPS spectrum of superYang-Mills theory and M-theory, JHEP07 (1998) 018 [hep-th/9712075] [INSPIRE].
N.A. Obers and B. Pioline, U duality and M-theory, Phys. Rept.318 (1999) 113 [hep-th/9809039] [INSPIRE].
P.C. West, The IIA, IIB and eleven-dimensional theories and their common E 11origin, Nucl. Phys.B 693 (2004) 76 [hep-th/0402140] [INSPIRE].
P.P. Cook and P.C. West, G+++ and brane solutions, Nucl. Phys.B 705 (2005) 111 [hep-th/0405149] [INSPIRE].
E.A. Bergshoeff and F. Riccioni, D-Brane Wess-Zumino Terms and U-duality, JHEP11 (2010) 139 [arXiv:1009.4657] [INSPIRE].
E.A. Bergshoeff and F. Riccioni, String Solitons and T-duality, JHEP05 (2011) 131 [arXiv:1102.0934] [INSPIRE].
E.A. Bergshoeff and F. Riccioni, The D-brane U-scan, Proc. Symp. Pure Math.85 (2012) 313 [arXiv:1109.1725] [INSPIRE].
A. Kleinschmidt, Counting supersymmetric branes, JHEP10 (2011) 144 [arXiv:1109.2025] [INSPIRE].
J. de Boer and M. Shigemori, Exotic Branes in String Theory, Phys. Rept.532 (2013) 65 [arXiv:1209.6056] [INSPIRE].
E.A. Bergshoeff, F. Riccioni and L. Romano, Branes, Weights and Central Charges, JHEP06 (2013) 019 [arXiv:1303.0221] [INSPIRE].
E.A. Bergshoeff, V.A. Penas, F. Riccioni and S. Risoli, Non-geometric fluxes and mixed-symmetry potentials, JHEP11 (2015) 020 [arXiv:1508.00780] [INSPIRE].
A. Chatzistavrakidis, F.F. Gautason, G. Moutsopoulos and M. Zagermann, Effective actions of nongeometric five-branes, Phys. Rev.D 89 (2014) 066004 [arXiv:1309.2653] [INSPIRE].
T. Kimura, Semi-doubled σ-models for Five-branes, JHEP02 (2016) 013 [arXiv:1512.05548] [INSPIRE].
I. Bakhmatov, A. Kleinschmidt and E.T. Musaev, Non-geometric branes are DFT monopoles, JHEP10 (2016) 076 [arXiv:1607.05450] [INSPIRE].
C.D.A. Blair and E.T. Musaev, Five-brane actions in double field theory, JHEP03 (2018) 111 [arXiv:1712.01739] [INSPIRE].
W. Siegel, Superspace duality in low-energy superstrings, Phys. Rev.D 48 (1993) 2826 [hep-th/9305073] [INSPIRE].
W. Siegel, Two vierbein formalism for string inspired axionic gravity, Phys. Rev.D 47 (1993) 5453 [hep-th/9302036] [INSPIRE].
C.M. Hull, Doubled Geometry and T-Folds, JHEP07 (2007) 080 [hep-th/0605149] [INSPIRE].
C. Hull and B. Zwiebach, Double Field Theory, JHEP09 (2009) 099 [arXiv:0904.4664] [INSPIRE].
C. Hull and B. Zwiebach, The Gauge algebra of double field theory and Courant brackets, JHEP09 (2009) 090 [arXiv:0908.1792] [INSPIRE].
O. Hohm, C. Hull and B. Zwiebach, Background independent action for double field theory, JHEP07 (2010) 016 [arXiv:1003.5027] [INSPIRE].
G. Aldazabal, D. Marques and C. Núñez, Double Field Theory: A Pedagogical Review, Class. Quant. Grav.30 (2013) 163001 [arXiv:1305.1907] [INSPIRE].
D.S. Berman and D.C. Thompson, Duality Symmetric String and M-theory, Phys. Rept.566 (2014) 1 [arXiv:1306.2643] [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].
C.M. Hull, A Geometry for non-geometric string backgrounds, JHEP10 (2005) 065 [hep-th/0406102] [INSPIRE].
A. Lawrence, M.B. Schulz and B. Wecht, D-branes in nongeometric backgrounds, JHEP07 (2006) 038 [hep-th/0602025] [INSPIRE].
C. Albertsson, T. Kimura and R.A. Reid-Edwards, D-branes and doubled geometry, JHEP04 (2009) 113 [arXiv:0806.1783] [INSPIRE].
C. Albertsson, S.-H. Dai, P.-W. Kao and F.-L. Lin, Double Field Theory for Double D-branes, JHEP09 (2011) 025 [arXiv:1107.0876] [INSPIRE].
D.S. Berman and F.J. Rudolph, Branes are Waves and Monopoles, JHEP05 (2015) 015 [arXiv:1409.6314] [INSPIRE].
I. Bakhmatov, D. Berman, A. Kleinschmidt, E. Musaev and R. Otsuki, Exotic branes in Exceptional Field Theory: the SL(5) duality group, JHEP08 (2018) 021 [arXiv:1710.09740] [INSPIRE].
D.S. Berman, E.T. Musaev and R. Otsuki, Exotic Branes in Exceptional Field Theory: E 7(7)and Beyond, JHEP12 (2018) 053 [arXiv:1806.00430] [INSPIRE].
J.J. Fernández-Melgarejo, T. Kimura and Y. Sakatani, Weaving the Exotic Web, JHEP09 (2018) 072 [arXiv:1805.12117] [INSPIRE].
P.C. West, E 11and M-theory, Class. Quant. Grav.18 (2001) 4443 [hep-th/0104081] [INSPIRE].
O. Hohm, S.K. Kwak and B. Zwiebach, Unification of Type II Strings and T-duality, Phys. Rev. Lett.107 (2011) 171603 [arXiv:1106.5452] [INSPIRE].
E.A. Bergshoeff, O. Hohm, V.A. Penas and F. Riccioni, Dual Double Field Theory, JHEP06 (2016) 026 [arXiv:1603.07380] [INSPIRE].
E.A. Bergshoeff, O. Hohm and F. Riccioni, Exotic Dual of Type II Double Field Theory, Phys. Lett.B 767 (2017) 374 [arXiv:1612.02691] [INSPIRE].
P. West, E 11, generalised space-time and IIA string theory, Phys. Lett.B 696 (2011) 403 [arXiv:1009.2624] [INSPIRE].
A. Rocen and P. West, E11, generalised space-time and IIA string theory: the RR sector, in Strings, gauge fields and the geometry behind: The legacy of Maximilian Kreuzer, A. Rebhan, L. Katzarkov, J. Knapp, R. Rashkov and E. Scheidegger eds., pp. 403-412 (2010) [https://doi.org/10.1142/9789814412551_0020] [arXiv:1012.2744] [INSPIRE].
J. Greitz, P. Howe and J. Palmkvist, The tensor hierarchy simplified, Class. Quant. Grav.31 (2014) 087001 [arXiv:1308.4972] [INSPIRE].
G. Bossard, A. Kleinschmidt, J. Palmkvist, C.N. Pope and E. Sezgin, Beyond E 11, JHEP05 (2017) 020 [arXiv:1703.01305] [INSPIRE].
A.S. Arvanitakis and C.D.A. Blair, The Exceptional σ-model, JHEP04 (2018) 064 [arXiv:1802.00442] [INSPIRE].
M. Aganagic, C. Popescu and J.H. Schwarz, D-brane actions with local kappa symmetry, Phys. Lett.B 393 (1997) 311 [hep-th/9610249] [INSPIRE].
M. Cederwall, A. von Gussich, B.E.W. Nilsson, P. Sundell and A. Westerberg, The Dirichlet super p-branes in ten-dimensional type IIA and IIB supergravity, Nucl. Phys.B 490 (1997) 179 [hep-th/9611159] [INSPIRE].
E. Bergshoeff and P.K. Townsend, Super D-branes, Nucl. Phys.B 490 (1997) 145 [hep-th/9611173] [INSPIRE].
E. Bergshoeff and P.K. Townsend, Super D-branes revisited, Nucl. Phys.B 531 (1998) 226 [hep-th/9804011] [INSPIRE].
A. Kleinschmidt and H. Nicolai, E 10and SO(9, 9) invariant supergravity, JHEP07 (2004) 041 [hep-th/0407101] [INSPIRE].
O. Hohm and S.K. Kwak, Massive Type II in Double Field Theory, JHEP11 (2011) 086 [arXiv:1108.4937] [INSPIRE].
L.J. Romans, Massive N = 2a Supergravity in Ten-Dimensions, Phys. Lett.169B (1986) 374 [INSPIRE].
E. Bergshoeff and M. De Roo, D-branes and T duality, Phys. Lett.B 380 (1996) 265 [hep-th/9603123] [INSPIRE].
M.B. Green, C.M. Hull and P.K. Townsend, D-brane Wess-Zumino actions, t duality and the cosmological constant, Phys. Lett.B 382 (1996) 65 [hep-th/9604119] [INSPIRE].
J. de Boer and M. Shigemori, Exotic branes and non-geometric backgrounds, Phys. Rev. Lett.104 (2010) 251603 [arXiv:1004.2521] [INSPIRE].
E.A. Bergshoeff and F. Riccioni, Branes and wrapping rules, Phys. Lett.B 704 (2011) 367 [arXiv:1108.5067] [INSPIRE].
D.M. Lombardo, F. Riccioni and S. Risoli, P fluxes and exotic branes, JHEP12 (2016) 114 [arXiv:1610.07975] [INSPIRE].
N. Boulanger, P. Sundell and P. West, Gauge fields and infinite chains of dualities, JHEP09 (2015) 192 [arXiv:1502.07909] [INSPIRE].
E.A. Bergshoeff, A. Marrani and F. Riccioni, Brane orbits, Nucl. Phys.B 861 (2012) 104 [arXiv:1201.5819] [INSPIRE].
J. Berkeley, D.S. Berman and F.J. Rudolph, Strings and Branes are Waves, JHEP06 (2014) 006 [arXiv:1403.7198] [INSPIRE].
D.S. Berman and F.J. Rudolph, Strings, Branes and the Self-dual Solutions of Exceptional Field Theory, JHEP05 (2015) 130 [arXiv:1412.2768] [INSPIRE].
T. Kimura, S. Sasaki and M. Yata, World-volume Effective Actions of Exotic Five-branes, JHEP07 (2014) 127 [arXiv:1404.5442] [INSPIRE].
E. Bergshoeff, Y. Lozano and T. Ortín, Massive branes, Nucl. Phys.B 518 (1998) 363 [hep-th/9712115] [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].
C.P. Bachas, M.R. Douglas and M.B. Green, Anomalous creation of branes, JHEP07 (1997) 002 [hep-th/9705074] [INSPIRE].
U. Danielsson, G. Ferretti and I.R. Klebanov, Creation of fundamental strings by crossing D-branes, Phys. Rev. Lett.79 (1997) 1984 [hep-th/9705084] [INSPIRE].
E. Bergshoeff, M. de Roo, E. Eyras, B. Janssen and J.P. van der Schaar, Multiple intersections of D-branes and M-branes, Nucl. Phys.B 494 (1997) 119 [hep-th/9612095] [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, Lectures on strings and dualities, in High energy physics and cosmology. Proceedings, Summer School, Trieste, Italy, June 10-July 26, 1996, pp. 66-119 (1997) [hep-th/9702201] [INSPIRE].
S. Hellerman, J. McGreevy and B. Williams, Geometric constructions of nongeometric string theories, JHEP01 (2004) 024 [hep-th/0208174] [INSPIRE].
F. Englert and L. Houart, G+++ invariant formulation of gravity and M theories: Exact BPS solutions, JHEP01 (2004) 002 [hep-th/0311255] [INSPIRE].
F. Englert and L. Houart, G+++ invariant formulation of gravity and M-theories: Exact intersecting brane solutions, JHEP05 (2004) 059 [hep-th/0405082] [INSPIRE].
F. Englert, L. Houart, A. Kleinschmidt, H. Nicolai and N. Tabti, An E 9multiplet of BPS states, JHEP05 (2007) 065 [hep-th/0703285] [INSPIRE].
A.G. Tumanov and P. West, E11 in 11D, Phys. Lett.B 758 (2016) 278 [arXiv:1601.03974] [INSPIRE].
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Bergshoeff, E., Kleinschmidt, A., Musaev, E.T. et al. The different faces of branes in double field theory. J. High Energ. Phys. 2019, 110 (2019). https://doi.org/10.1007/JHEP09(2019)110
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DOI: https://doi.org/10.1007/JHEP09(2019)110
Keywords
- D-branes
- p-branes
- String Duality