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Topological Quantum Field Theory in Two Dimensions

von Hao Yu
Topological Quantum Field Theory in Two Dimensionsvon Hao Yu Sie sparen 16% des UVP sparen 16%
Über Topological Quantum Field Theory in Two Dimensions

In my book, I give the analogy of the main results in one of Kevin Costellös paper for open-closed topological conformal field theory. In other words, I show that there is a Batalin-Vilkovisky algebraic structure on the open-closed moduli space (moduli space of Riemann surface with boundary and marked points) , which is defined by Harrelson, Voronov and Zuniga, and the most important, there is a solution up to homotopy to the quantum master equation of that BV algebra if the initial condition is given, under the assumption that a new geometric chain theory gives rise to ordinary homology. This solution is expected to encode the fundamental chain of compactified open-closed moduli space, which is studied thoroughly by C.-C.Liu, as exactly in the closed case. We hope this result can give new insights into the mysterious two dimensional open-closed field theory.

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  • Sprache:
  • Englisch
  • ISBN:
  • 9783659226335
  • Einband:
  • Taschenbuch
  • Seitenzahl:
  • 88
  • Veröffentlicht:
  • 4. September 2012
  • Abmessungen:
  • 150x6x220 mm.
  • Gewicht:
  • 149 g.
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Beschreibung von Topological Quantum Field Theory in Two Dimensions

In my book, I give the analogy of the main results in one of Kevin Costellös paper for open-closed topological conformal field theory. In other words, I show that there is a Batalin-Vilkovisky algebraic structure on the open-closed moduli space (moduli space of Riemann surface with boundary and marked points) , which is defined by Harrelson, Voronov and Zuniga, and the most important, there is a solution up to homotopy to the quantum master equation of that BV algebra if the initial condition is given, under the assumption that a new geometric chain theory gives rise to ordinary homology. This solution is expected to encode the fundamental chain of compactified open-closed moduli space, which is studied thoroughly by C.-C.Liu, as exactly in the closed case. We hope this result can give new insights into the mysterious two dimensional open-closed field theory.

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