The partition function of a 3-dimensional topological scalar-vector model
Boguslaw Broda, Malgorzata Bakalarska
TL;DR
This paper investigates the partition function of a 3D topological scalar-vector model, revealing its composition of topological invariants such as torsion and Massey products, and its relation to the Rozansky-Witten model.
Contribution
It demonstrates the explicit form of the partition function in terms of topological quantities and establishes its duality relation to the Rozansky-Witten sigma-model.
Findings
Partition function includes Reidemeister-Ray-Singer torsion and Massey product.
Shows the model's partition function as a sum over topological invariants.
Establishes duality with the Rozansky-Witten model.
Abstract
A study of the partition function of a 3-dimensional scalar-vector model formally related via duality to the Rozansky-Witten topological sigma-model is presented. The partition function is shown to consist of such topological quantities of a 3-dimensional manifold M like a lattice sum, the Reidemeister-Ray-Singer torsion and the Massey product.
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