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Your search keyword '"Yuji TERASHIMA"' showing total 2 results
Start Over Author "Yuji TERASHIMA" Publisher american physical society
2 results on '"Yuji TERASHIMA"'

1. Emergent 3-Manifolds from Four Dimensional Superconformal Indices.

Author

Yuji Terashima and Masahito Yamazaki

Subjects
*MANIFOLDS (Mathematics), *CONFORMAL geometry, *HYPERBOLIC functions, *NUCLEAR spin, *LATTICE theory, *SUPERSYMMETRY, *GAUGE field theory, *PARTITIONS (Mathematics)
Abstract

We show that the smooth geometry of a hyperbolic 3-manifold emerges from a classical spin system defined on a 2D discrete lattice, and moreover, show that the process of this "dimensional oxidation" is equivalent with the dimensional reduction of a supersymmetric gauge theory from 4D to 3D. More concretely, we propose an equality between (1) the 4D superconformal index of a 4D N = 1 super-conformal quiver gauge theory described by a bipartite graph on T2 and (2) the partition function of a classical integrable spin chain on T2. The 2D spin system is lifted to a hyperbolic 3-manifold after the dimensional reduction and using the Higgs mechanism in the 4D gauge theory. [ABSTRACT FROM AUTHOR]

Published
2012
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2. Semiclassical analysis of the 3d/3d relation.

Author

Yuji Terashima and Masahito Yamazaki

Subjects
*PARTITION functions, *HILBERT space, *DUALITY (Logic)
Abstract

We provide quantitative evidence for our previous conjecture which states an equivalence of the partition function of a 3d N=2 gauge theory on a duality wall and that of the SL(2,R) Chern-Simons theory on a mapping torus, for a class of examples associated with once-punctured torus. In particular, we demonstrate that a limit of the 3d N=2 partition function reproduces the hyperbolic volume and the Chern-Simons invariant of the mapping torus. This is shown by analyzing the classical limit of the trace of an element of the mapping class group in the Hilbert space of the quantum Teichmüller theory. We also show that the subleading correction to the partition function reproduces the Reidemeister torsion. [ABSTRACT FROM AUTHOR]

Published
2013
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