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Ruelle zeta function from field theory
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abstract
We propose a field-theoretic interpretation of Ruelle zeta function, and show how it can be seen as the partition function for $BF$ theory when an unusual gauge fixing condition on contact manifolds is imposed. This suggests an alternative rephrasing of a conjecture due to Fried on the equivalence between Ruelle zeta function and analytic torsion, in terms of homotopies of Lagrangian submanifolds.
Forward citations
Cited by 3 Pith papers
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Milnor metric for Morse--Smale flows from field theory
The axial-gauge partition function of Abelian BF theory recovers the Milnor metric, realizing Fried’s conjecture for Morse–Smale flows via two-step BV pushforward.
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GGI lectures on boundary and asymptotic symmetries
A lecture-note review of boundary and asymptotic symmetries that re-derives the BMS group as the asymptotic symmetry group of Minkowski spacetime alone and constructs an integral Hamiltonian generator for scalar-field...
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The Fried Conjecture for Morse-Smale Flows: A Survey on Ray-Singer and Milnor Metrics
A survey of the Morse-Smale Fried conjecture: it assembles the twisted Hodge, Thom-Smale, and Ruelle-zeta machinery and states the Ray-Singer = Milnor metric equality, attributing the proof to [SY21].
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