Boundary Coupling of Lie Algebroid Poisson Sigma Models and Representations up to Homotopy

被引：0

作者：

Velez, Alexander Quintero ^{[1
]}

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2012年 / 102卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

topological field theories; Poisson sigma models; Lie algebroids; Batalin-Vilkovisky formalism; D-branes; GEOMETRY; BRANES;

D O I：

10.1007/s11005-012-0549-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A general form for the boundary coupling of a Lie algebroid Poisson sigma model is proposed. The approach involves using the Batalin-Vilkovisky formalism in the AKSZ geometrical version, to write a BRST-invariant coupling for a representation up to homotopy of the target Lie algebroid or its subalgebroids. These considerations lead to a conjectural description of topological D-branes on generalized complex manifolds, which includes A-branes and B-branes as special cases.

引用

页码：31 / 64

页数：34

共 40 条

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