Open-closed moduli spaces and related algebraic structures

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dc.creatorHarrelson, Eric
dc.creatorVoronov, Alexander A.
dc.creatorZuniga, J. Javier
dc.date2007-09-25
dc.date2008-06-05
dc.date.accessioned2026-07-07T09:42:30Z
dc.date.available2026-07-07T09:42:30Z
dc.descriptionWe set up a Batalin-Vilkovisky Quantum Master Equation 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 and study the L_\infty and A_\infty algebraic structures associated to it.
dc.description21 pages, LaTeX, 4 figures; section on algebraic structures revised
dc.identifierhttps://arxiv.org/abs/0709.3874
dc.identifierhttp://arxiv.org/abs/0709.3874
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162203
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.subject14D21; 81T40
dc.titleOpen-closed moduli spaces and related algebraic structures
dc.typetext

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