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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.
| Autorius: | Hao Yu |
| Leidėjas: | LAP LAMBERT Academic Publishing |
| Išleidimo metai: | 2012 |
| Knygos puslapių skaičius: | 88 |
| ISBN-10: | 3659226335 |
| ISBN-13: | 9783659226335 |
| Formatas: | 220 x 150 x 6 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „Topological Quantum Field Theory in Two Dimensions: BV algebra,Quantum Master Equation,etc“
