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Book synopsis

In my book, I give the analogy of the main results in one of Kevin Costello s 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.

Book details

• Full title: Topological Quantum Field Theory in Two Dimensions
• Subtitle: BV algebra,Quantum Master Equation,etc
• Author: Hao Yu
• Language: English
• Binding: Paperback
• Number of pages: 88
• EAN: 9783659226335
• ID: 07161479
• Publisher: LAP Lambert Academic Publishing
• Weight: 147 g
• Dimensions: 220 × 150 × 5 mm
• Published: 2012

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