2016/09/27 by Semyon Klevtsov · 1 citation
Physics and Astronomy · Mathematics · #cond-mat.str-el #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8121/aa6e0a
published as J. Phys. A: Math. Theor. 50 (2017) 234003 · 15 pages
arxiv created 2016/09/27 · arxiv updated 2018/02/21
We consider the integer QH state on Riemann surfaces with conical singularities, with the main objective of detecting the effect of the gravitational anomaly directly from the form of the wave function on a singular geometry. We suggest the formula expressing the normalisation factor of the holomorphic state in terms of the regularized zeta determinant on conical surfaces and check this relation for some model geometries. We also comment on possible extensions of this result to the fractional QH states.