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Geometric construction of D-branes in WZW models

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Ruiz Ruiz, Fernando and Horcajada Reales, Guillermo (2011) Geometric construction of D-branes in WZW models. Journal of High Energy Physics (9). ISSN 1126-6708

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Official URL: http://dx.doi.org/10.1007/JHEP09(2011)020


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Abstract

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.


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© 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.

Uncontrolled Keywords:Strings
Subjects:Sciences > Physics
ID Code:24798
Deposited On:25 Mar 2014 16:33
Last Modified:25 Mar 2014 16:33

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