D-branes with Lorentzian signature in the Nappi-Witten model

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Lorentzian signature D-branes of all dimensions for the Nappi-Witten string are constructed. This is done by rewriting the gluing condition J(+) = FJ(-) for the model chiral currents on the brane as a well posed first order differential problem and by solving it for Lie algebra isometries F other than Lie algebra automorphisms. By construction, these D-branes are not twined conjugacy classes. Metrically degenerate D-branes are also obtained.
© SISSA 2011. The authors are grateful to MEC and UCM-BSCH, Spain for partial support through grants FPA2008-04906 and 91077 (GR58/08). RHR acknowledges the Ramón y Cajal Program, Spain for support.
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[1] C.-S. Chu and P.-M. Ho, Noncommutative open string and D-brane, Nucl. Phys. B 550 (1999) 151 [hep-th/9812219] [SPIRES]. [2] V. Schomerus, D-branes and deformation quantization, JHEP 06 (1999) 030 [hep-th/9903205] [SPIRES]. [3] N. Seiberg and E. Witten, String theory and noncommutative geometry, JHEP 09 (1999) 032 [hep th/9908142] [SPIRES]. [4] N. Seiberg, L. Susskind and N. Toumbas, Strings in background electric field, space/time noncommutativity and a new noncritical string theory, JHEP 06 (2000) 021 [hep th/0005040] [SPIRES]. [5] C.-S. Chu and P.-M. Ho, Noncommutative D-brane and open string in pp-wave background with B-field, Nucl. Phys. B 636 (2002) 141 [hep-th/0203186] [SPIRES]. – 19 – JHEP0 (2011)047 [6] G. Horcajada and F. Ruiz Ruiz, Quantization of the open string on plane-wave limits of dSn × Sn and non commutativity outside branes, Nucl. Phys. B 799 (2008) 110 [arXiv:0711.2991] [SPIRES]. [7] A.Y. Alekseev, A. Recknagel and V. Schomerus, Non commutative world-volume geometries: branes on SU(2) and fuzzy spheres, JHEP 09 (1999) 023 [hep-th/9908040] [SPIRES]. [8] A.Y. Alekseev, A. Recknagel and V. Schomerus, Brane dynamics in background fluxes and non commutative geometry, JHEP 05 (2000) 010 [hep-th/0003187] [SPIRES]. [9] C. Klimˇc´ık and P. ˇ Severa, Open strings and D-branes in WZNW models, Nucl. Phys. B 488 (1997) 653 [hep-th/9609112] [SPIRES]. [10] A.Y. Alekseev and V. Schomerus, D-branes in the WZW model, Phys. Rev. D 60 (1999) 061901 [hep-th/9812193] [SPIRES]. [11] S. Stanciu, D-branes in an AdS3 background, JHEP 09 (1999) 028 [hep-th/9901122] [SPIRES]. [12] S. Stanciu, D-branes in group manifolds, JHEP 01 (2000) 025 [hep-th/9909163] [SPIRES]. [13] S. Stanciu, A note on D-branes in group manifolds: flux quantization and D0-charge, JHEP 10 (2000) 015 [hep-th/0006145] [SPIRES]. [14] J.M. Figueroa-O’Farrill and S. Stanciu, More D-branes in the Nappi-Witten background, JHEP 01 (2000) 024 [hep th/9909164] [SPIRES]. [15] C. Bachas and M. Petropoulos, Anti-de-Sitter D-branes, JHEP 02 (2001) 025 [hep-th/0012234] [SPIRES]. [16] S. Ribault and V. Schomerus, Branes in the 2D black hole, JHEP 02 (2004) 019 [hep-th/0310024] [SPIRES]. [17] Y.-K.E. Cheung and L. Freidel, Inner brane: a D3-brane in the Nappi-Witten model from an inner group automorphism, Phys. Rev. D 79 (2009) 126007 [arXiv:0905.0540] [SPIRES]. [18] G. Horcajada and F.R. Ruiz, Geometric construction of D-branes in WZW models, arXiv:1104.4722 [SPIRES]. [19] C.R. Nappi and E. Witten, A WZW model based on a nonsemisimple group, Phys. Rev. Lett. 71 (1993) 3751 [hep-th/9310112] [SPIRES]. [20] V. Schomerus, Lectures on branes in curved backgrounds, Class. Quant. Grav. 19 (2002) 5781 [hep-th/0209241] [SPIRES]. [21] V. Schomerus, Non-compact string backgrounds and non rational CFT, Phys. Rept. 431 (2006) 39 [hep-th/0509155] [SPIRES]. [22] G. D’Appollonio and E. Kiritsis, D-branes and BCFT in Hpp-wave backgrounds, Nucl. Phys. B 712 (2005) 433 [hep th/0410269] [SPIRES]. [23] E. Witten, Nonabelian bosonization in two dimensions, Commun. Math. Phys. 92 (1984) 455 [SPIRES]. [24] S. Stanciu and A.A. Tseytlin, D-branes in curved spacetime: Nappi-Witten background, JHEP 06 (1998) 010 [hep-th/9805006] [SPIRES]. [25] E. Witten, Bound states of strings and p-branes, Nucl. Phys. B 460 (1996) 335 [hep th/9510135] [SPIRES].