NMNathan P. Moore
Nathan P. Moore
*This is an algorithmically generated author record based on publicly available information.
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Previous Organizations / Institutes
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Research Subjects
Nathan P. Moore has a total of 3 co-authors. Here are the top co-authors by number of shared publications:
- Hao-Yu Sun
The University of Texas at Austin
2 shared publications - Nesty R. Torres-Chicon
Department of Physics University of California 94720 Berkeley CA U.S.A
2 shared publications - Ori J. Ganor
University of California
2 shared publications
Latest Publications
- Open Access
- 1 July 2014
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2014 (7) , 1-20
Janus configurations with SL(2, ℤ)-duality twists, strings on mapping tori and a tridiagonal determinant formula
- 1 July 2014
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2014 (7) , 1-20
Open AccessJanus configurations with SL(2, ℤ)-duality twists, strings on mapping tori and a tridiagonal determinant formula
- Open Access
Janus configurations with SL(2,Z)-duality twists, Strings on Mapping Tori, and a Tridiagonal Determinant Formula
We develop an equivalence between two Hilbert spaces: (i) the space of states of $U(1)^n$ Chern-Simons theory with a certain class of tridiagonal matrices of coupling constants (with corners) on $T^2$; and (ii) the space of ground states of strings on an associated mapping torus with $T^2$ fiber. The equivalence is deduced by studying the space of ground states of $SL(2,Z)$-twisted circle compactifications of $U(1)$ gauge theory, connected with a Janus configuration, and further compactified on $T^2$. The equality of dimensions of the two Hilbert spaces (i) and (ii) is equivalent to a known identity on determinants of tridiagonal matrices with corners. The equivalence of operator algebras acting on the two Hilbert spaces follows from a relation between the Smith normal form of the Chern-Simons coupling constant matrix and the isometry group of the mapping torus, as well as the torsion part of its first homology group.Open AccessJanus configurations with SL(2,Z)-duality twists, Strings on Mapping Tori, and a Tridiagonal Determinant Formula
We develop an equivalence between two Hilbert spaces: (i) the space of states of $U(1)^n$ Chern-Simons theory with a certain class of tridiagonal matrices of coupling constants (with corners) on $T^2$; and (ii) the space of ground states of strings on an associated mapping torus with $T^2$ fiber. The equivalence is deduced by studying the space of ground states of $SL(2,Z)$-twisted circle compactifications of $U(1)$ gauge theory, connected with a Janus configuration, and further compactified on $T^2$. The equality of dimensions of the two Hilbert spaces (i) and (ii) is equivalent to a known identity on determinants of tridiagonal matrices with corners. The equivalence of operator algebras acting on the two Hilbert spaces follows from a relation between the Smith normal form of the Chern-Simons coupling constant matrix and the isometry group of the mapping torus, as well as the torsion part of its first homology group.