Open-Closed Moduli Spaces and Related Algebraic Structures

Eric Harrelson, Alexander A. Voronov, J. Javier Zúñiga

Producción científica: Contribución a una revistaArtículo de revista revisión exhaustiva

6 Citas (Scopus)

Resumen

We set up a Batalin-Vilkovisky Quantum Master Equation (QME) for open-closed string theory and show that the corresponding moduli spaces give rise to a solution, a generating function for their fundamental chains. The equation encodes the topological structure of the compactification of the moduli space of bordered Riemann surfaces. The moduli spaces of bordered J-holomorphic curves are expected to satisfy the same equation, and from this viewpoint, our paper treats the case of the target space equal to a point. We also introduce the notion of a symmetric Open-Closed Topological Conformal Field Theory (OC TCFT) and study the L∞ and A∞ algebraic structures associated to it.
Idioma originalInglés
Páginas (desde-hasta)1-26
Número de páginas26
PublicaciónLetters in Mathematical Physics
Volumen94
N.º1
DOI
EstadoPublicada - 6 set. 2010
Publicado de forma externa

Palabras clave

  • BV algebra
  • homotopy algebras
  • open-closed moduli space
  • quantum master equation
  • topological conformal field theory

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