The Batalin-Vilkovisky cohomology of the spinning particle

被引：7
|
作者：
Getzler, Ezra [1 ]
机构：
[1] Northwestern Univ, Dept Math, 2033 Sheridan Rd, Evanston, IL 60208 USA
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 06期
基金：
英国工程与自然科学研究理事会;
关键词：
BRST Quantization; Supergravity Models; Differential and Algebraic Geometry;
D O I：
10.1007/JHEP06(2016)017
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We show that the axiom of Felder and Kazhdan [1] on the vanishing of the co-homology groups in negative degree associated to solutions of the classical master equation in the Batalin-Vilkovisky formalism is violated by the spinning particle in a flat background coupled to D = 1 supergravity. In this model, there are nontrivial cohomology groups in all negative degrees, regardless of the dimension of the spacetime in which the spinning particle is propagating.
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页数：17
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