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Observables in the equivariant A-model
Letters in Mathematical Physics ( IF 1.3 ) Pub Date : 2019-11-13 , DOI: 10.1007/s11005-019-01236-1
F. Bonechi , A. S. Cattaneo , R. Iraso , M. Zabzine

We discuss observables of an equivariant extension of the A-model in the framework of the AKSZ construction. We introduce the A-model observables, a class of observables that are homotopically equivalent to the canonical AKSZ observables but are better behaved in the gauge fixing. We discuss them for two different choices of gauge fixing: the first one is conjectured to compute the correlators of the A-model with target the Marsden-Weinstein reduced space; in the second one we recover the topological Yang-Mills action coupled with A-model so that the A-model observables are closed under supersymmetry.

中文翻译:

等变 A 模型中的观测值

我们在 AKSZ 构造的框架中讨论了 A 模型的等变扩展的可观察量。我们引入了 A 模型可观察量,这是一类同伦等价于规范 AKSZ 可观察量但在规范固定中表现更好的可观察量。我们讨论了两种不同的规范固定选择:第一种是推测计算 A 模型与目标 Marsden-Weinstein 缩减空间的相关器;在第二个中,我们恢复了与 A 模型相结合的拓扑杨米尔斯作用,以便 A 模型可观测量在超对称下是封闭的。
更新日期:2019-11-13
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