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Título:
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Geometric construction of D-branes in WZW models
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Autores:
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Ruiz Ruiz, Fernando ;
Horcajada Reales, Guillermo
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 2011-09
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física
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Tipo = Artículo
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Resumen:
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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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En línea:
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https://eprints.ucm.es/id/eprint/24798/1/Ruiz%20FR01.pdf
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