Master Equation and Perturbative Chern-Simons theory
Vito Iacovino
TL;DR
This paper extends the perturbative Chern-Simons invariant to non-acyclic connections, constructing a quantum master equation solution on cohomology functions and discussing link invariants.
Contribution
It introduces a method to handle non-acyclic connections in Chern-Simons theory and constructs a well-defined quantum master equation solution.
Findings
Extended Chern-Simons invariants to non-acyclic cases.
Constructed solutions to the quantum master equation.
Discussed invariants of links.
Abstract
We extend the Chern-Simons perturbative invariant of Axelrod and Singer to non-acyclic connections. We construct a solution of the quantum master equation on the space of functions on the cohomology of the connection. We prove that this solution is well defined up to master homotopy. We discuss also invariants of links.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Spectral Theory in Mathematical Physics · Quantum chaos and dynamical systems