Lowest Landau level on a cone and zeta determinants

Lowest Landau level on a cone and zeta determinants
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锥体和 zeta 决定因素的最低朗道水平

DOI:
10.1088/1751-8121/aa6e0a
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发表时间:
2016
期刊:
Journal of Physics A: Mathematical and Theoretical
影响因子:
--
通讯作者:
S. Klevtsov
S. Klevtsov
中科院分区:
--
文献类型:
--
作者:
S. Klevtsov

文献摘要

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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.