arXiv subjects

Kanade Nishikawa

Publications and source records attributed to Kanade Nishikawa.

2 recordsLinked to original sources

arXiv2026

Notes on Gepner Construction

In this note, we describe the Gepner construction purely as orbifold (rather than a beta-prescription or orbifold-like process). This is done by distinguishing orbifolding by a chiral symmetry from that by a left-right diagonal symmetry, and also by exploiting an extra degree of freedom available in orbifolds of Type 0 SCFTs. We also describe by using the Arf theory how the extra freedom in Type 0 SCFT orbifolds in general (not just in the Gepner construction) should be implemented in higher genus amplitudes. This note also determines when a combinatorial data set of a Gepner construction has a mirror Gepner construction, and also provides two thinking frameworks to determine the SCFT vertex operators of the Gepner model SCFTs with phase ambiguity and branch cuts under control.

hep-th↗

arXiv2023

Conformal bootstrap in momentum space at finite volume

In this paper, we Fourier transform the Wightman function concerning energy and angular momentum on the $S^{D-1}$ spatial slice in radial quantization in $D=2,3$ dimensions. In each case, we use the conformal Ward Identities to solve systematically for the Fourier components. We then use these Fourier components to build conformal blocks for the four-point function in momentum space, giving a finite-volume version of the momentum-space conformal blocks. We check that this construction is consistent with the known result in infinite volume. Our construction may help to find bootstrap equations that can give nontrivial constraints that do not appear in analysis in infinite volume. We show some examples of bootstrap equations and their nontriviality.

hep-th↗