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Title:
Noncommutative manifolds and the BV construction: the case of su(n)-matrix models
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Abstract:
The talk will describe the BV construction from the point of view of noncommutative geometry: given a class of su(n)-gauge theories, which are naturally induced by finite spectral triples, we will describe how the corresponding BV-extended theory could be encoded in a 0-dim. noncommutative manifold. In particular, by introducing the notion of BV-spectral triple, we are able to give a (noncommutative) geometric interpretation to all the elements that characterize the BV-extended theory, such as bosons and fermions or fields and anti fields, and to the different role they play.
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