Free partition functions and an averaged holographic duality
Sign Up to like & getrecommendations! Published in 2021 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2021)130
Abstract: We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the averaged partition function and show that it can be reinterpreted… read more here.
Keywords: functions averaged; free partition; partition functions; averaged holographic ... See more keywords
Constraints on flavored 2d CFT partition functions
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DOI: 10.1007/jhep02(2018)148
Abstract: A bstractWe study the implications of modular invariance on 2d CFT partition functions with abelian or non-abelian currents when chemical potentials for the charges are turned on, i.e. when the partition functions are “flavored”. We… read more here.
Keywords: state; constraints flavored; flavored cft; cft partition ... See more keywords
Supersymmetric partition functions and the three-dimensional A-twist
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DOI: 10.1007/jhep03(2017)074
Abstract: A bstractWe study three-dimensional N=2$$ \mathcal{N}=2 $$ supersymmetric gauge theories on ℳg,p$$ {\mathrm{\mathcal{M}}}_{g,p} $$, an oriented circle bundle of degree p over a closed Riemann surface, Σg. We compute the ℳg,p$$ {\mathrm{\mathcal{M}}}_{g,p} $$ supersymmetric partition… read more here.
Keywords: three dimensional; supersymmetric partition; partition functions; partition ... See more keywords
Type IIB 7-branes in warped AdS6: partition functions, brane webs and probe limit
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep04(2018)135
Abstract: A bstractWe study Type IIB supergravity solutions with spacetime of the form AdS6×S2 warped over a Riemann surface Σ, where Σ includes punctures around which the super-gravity fields have non-trivial SL(2, R) monodromy. Solutions without… read more here.
Keywords: type iib; brane webs; probe; partition functions ... See more keywords
Partition functions of Chern-Simons theory on handlebodies by radial quantization
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DOI: 10.1007/jhep07(2021)194
Abstract: Abstract We use radial quantization to compute Chern-Simons partition functions on handlebodies of arbitrary genus. The partition function is given by a particular transition amplitude between two states which are defined on the Riemann surfaces… read more here.
Keywords: partition; chern simons; partition functions; quantization ... See more keywords
Argyres-Douglas theories and Liouville irregular states
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DOI: 10.1007/jhep09(2019)104
Abstract: Abstract We study irregular states of rank-two and three in Liouville theory, based on an ansatz proposed by D. Gaiotto and J. Teschner. Using these irregular states, we evaluate asymptotic expansions of irregular conformal blocks… read more here.
Keywords: partition functions; argyres douglas; liouville irregular; irregular states ... See more keywords
T $$ \overline{T} $$-flow effects on torus partition functions
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DOI: 10.1007/jhep09(2021)061
Abstract: Abstract In this paper, we investigate the partition functions of conformal field theories (CFTs) with the T$$ \overline{T} $$ T ¯ deformation on a torus in terms of the perturbative QFT approach. In Lagrangian path… read more here.
Keywords: flow effects; overline flow; effects torus; partition functions ... See more keywords
Fermi gas approach to general rank theories and quantum curves
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DOI: 10.1007/jhep10(2020)158
Abstract: Abstract It is known that matrix models computing the partition functions of three-dimensional $$ \mathcal{N} $$ N = 4 superconformal Chern-Simons theories described by circular quiver diagrams can be written as the partition functions of… read more here.
Keywords: quantum curves; fermi gas; partition functions; approach ... See more keywords
On partition functions of refined Chern-Simons theories on S3
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DOI: 10.1007/jhep10(2021)033
Abstract: Abstract We present a new expression for the partition function of the refined Chern-Simons theory on S3 with an arbitrary gauge group, which is explicitly equal to 1 when the coupling constant is zero. Using… read more here.
Keywords: refined chern; partition functions; partition function; chern simons ... See more keywords
Analyticity of Nekrasov Partition Functions
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DOI: 10.1007/s00220-018-3270-1
Abstract: We prove that the K-theoretic Nekrasov instanton partition functions have a positive radius of convergence in the instanton counting parameter and are holomorphic functions of the Coulomb parameters in a suitable domain. We discuss the… read more here.
Keywords: analyticity nekrasov; partition functions; partition; nekrasov partition ... See more keywords
Comparison of partition functions in a space–time random environment
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-020-02566-4
Abstract: Let $$Z^1$$ Z 1 and $$Z^2$$ Z 2 be partition functions in the random polymer model in the same environment but driven by different underlying random walks. We give a comparison in concave stochastic order… read more here.
Keywords: partition functions; time random; space time; space ... See more keywords