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Little string instanton partition functions and scalar propagators
We discuss a class of Little String Theories (LSTs) whose low energy descriptions are supersymmetric gauge theories on the Ω-background with gauge...
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The disk partition function in string theory
We investigate the disk partition function for the open string. This is a subtle problem because of the presence of a residual gauge group PSL(2 , ℝ)...
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Unified Framework for Generalized Statistics: Canonical Partition Function, Maximum Occupation Number, and Permutation Phase of Wave Function
Over the past decades, many kinds of generalized statistics are proposed through two approaches: (1) generalizing the permutation symmetry of the...
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Matrix model partition function by a single constraint
In the recent study of Virasoro action on characters, we discovered that it gets especially simple for peculiar linear combinations of the Virasoro...
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Off-shell Partition Functions in 3d Gravity
We explore three-dimensional gravity with negative cosmological constant via canonical quantization. We focus on chiral gravity which is related to a...
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One-loop partition function, gauge accessibility and spectra in AdS3 gravity
We continue the study of the one-loop partition function of AdS 3 gravity with focus on the square-integrability condition on the fluctuating fields....
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Cosmological quantum states of de Sitter-Schwarzschild are static patch partition functions
We solve the Wheeler-DeWitt equation in the ‘cosmological interior’ (the past causal diamond of future infinity) of four dimensional dS-Schwarzschild...
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Partition functions for U(1) vectors and phases of scalar QED in AdS
We extend the computation of one-loop partition function in AdS d +1 using the method in [
23 ] and [24 ] for scalars and fermions to the case of U(1)... -
Partition functions of non-Lagrangian theories from the holomorphic anomaly
The computation of the partition function in certain quantum field theories, such as those of the Argyres-Douglas or Minahan-Nemeschansky type, is...
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The Zeros of the Partition Function of the Pinning Model
We aim at understanding for which (complex) values of the potential the pinning partition function vanishes. The pinning model is a Gibbs measure...
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The two-sphere partition function in two-dimensional quantum gravity at fixed area
We discuss two-dimensional quantum gravity coupled to conformal matter and fixed area in a semiclassical large and negative matter central charge...
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Large N partition functions of the ABJM theory
We study the large N limit of some supersymmetric partition functions of the U( N ) k × U( N ) −k ABJM theory computed by supersymmetric localization. We...
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The two-sphere partition function in two-dimensional quantum gravity
We study the Euclidean path integral of two-dimensional quantum gravity with positive cosmological constant coupled to conformal matter with large...
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From Quantum Curves to Topological String Partition Functions
This paper describes the reconstruction of the topological string partition function for certain local Calabi–Yau (CY) manifolds from the quantum...
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On the importance of using realistic partition functions in kilonova opacity calculations
AbstractIn the present work, we report an investigation on the importance of using realistic partition functions in the opacity calculations of...
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Finite Tsallis gravitational partition function for a system of galaxies
In this paper, we will study the large scale structure formation using the gravitational partition function. We will assertively argue that the...
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A Sharp Asymptotics of the Partition Function for the Collapsed Interacting Partially Directed Self-avoiding Walk
In the present paper, we investigate the collapsed phase of the interacting partially-directed self-avoiding walk (IPDSAW) that was introduced in...
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Black hole scattering and partition functions
When computing the ideal gas thermal canonical partition function for a scalar outside a black hole horizon, one encounters the divergent...
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Sphere and disk partition functions in Liouville and in matrix integrals
We compute the sphere and disk partition functions in semiclassical Liouville and analogous quantities in double-scaled matrix integrals. The...