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- W4366999975 abstract "The Hilbert space of level $q$ Chern-Simons theory of gauge group $G$ of the ADE type quantized on $T^2$ can be represented by points that lie on the weight lattice of the Lie algebra $mathfrak{g}$ up to some discrete identifications. Of special significance are the points that also lie on the root lattice. The generating functions that count the number of such points are quasi-periodic Ehrhart polynomials which coincide with the generating functions of $SU(q)$ representation of the ADE subgroups of $SU(2)$ given by the McKay correspondence. This coincidence has roots in a string/M theory construction where D3(M5)-branes are put along an ADE singularity. Finally, a new perspective on the McKay correspondence that involves the inverse of the Cartan matrices is proposed." @default.
- W4366999975 created "2023-04-27" @default.
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- W4366999975 date "2023-04-24" @default.
- W4366999975 modified "2023-09-29" @default.
- W4366999975 title "Chern-Simons Theory, Ehrhart Polynomials, and Representation Theory" @default.
- W4366999975 doi "https://doi.org/10.48550/arxiv.2304.11830" @default.
- W4366999975 hasPublicationYear "2023" @default.
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