2015/01/14 by Satoshi Okuda, Yutaka Yoshida, Okuda, Satoshi +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1501.03469
openalex publication_date 2015/01/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We introduce two-types of topologically twisted Chern-Simons-matter theories on the direct product of circle and genus-h Riemann surface (S1 × Σh). The partition functions of first model agrees with the partition functions of a generalizations of G/G gauged WZW model. We also find that correlation functions of Wilson loops in first type Chern-Simons-matter theory coincide with correlation functions of G elements in the generalization of G/G gauged WZW model. The partition function of this model also has nice interpretations as norms of eigen states of Hamiltonian in the quantum integrable model (q-boson hopping model) and also as a geometric index over a particular moduli space. In the second-type Chern-Simons-matter theory, the partition function is related to integration over moduli space of Hitchin equation on Riemann surface.