RT Journal Article
T1 Geometric construction of D-branes in WZW models
A1 Ruiz Ruiz, Fernando
A1 Horcajada Reales, Guillermo
AB The geometric description of D-branes inWZWmodels is pushed forward. Our starting point is a gluing condition J+ = FJ− that matches the model’s chiral currents at the worldsheet boundary through a linear map F acting on the WZW Lie algebra. The equivalence of boundary and gluing conditions of this type is studied in detail. The analysis involves a thorough discussion of Frobenius integrability, shows that F must be an isometry, and applies to both metrically degenerate and nondegenerate D-branes. The isometry F need not be a Lie algebra automorphism nor constantly defined over the brane. This approach, when applied to isometries of the form F = R with R a constant Lie algebra automorphism, validates metrically degenerate R-twined conjugacy classes as D-branes. It also shows that no D branes exist in semisimple WZW models for constant F = −R.
PB Springer
SN 1126-6708
YR 2011
FD 2011-09
LK https://hdl.handle.net/20.500.14352/44134
UL https://hdl.handle.net/20.500.14352/44134
LA eng
NO © SISSA 2011.The authors are grateful to C.Moreno for conversations, and to MEC and UCM-BSCH, Spain for partial support through grants FPA2008-04906 and 910770-GR35/10-A.
NO MEC
NO UCM-BSCH
DS Docta Complutense
RD 16 abr 2025