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Affine symmetries for ABJM partition function and its generalization
Partially motivated by the fact that the grand partition function of the ABJM theory or its generalization is expressed by a spectral operator...
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Is the Euclidean path integral always equal to the thermal partition function?
The Euclidean path integral is compared to the thermal (canonical) partition function in curved static space-times. It is shown that if spatial...
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2D quantum gravity partition function on the fluctuating sphere
Motivated by recent works on the connection between 2D quantum gravity and timelike Liouville theory, we revisit the latter and clarify some aspects...
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One-loop partition function of gravity with leaky boundary conditions
Leaky boundary conditions in asymptotically AdS spacetimes are relevant to discuss black hole evaporation and the evolution of the Page curve via the...
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On a Factorization Formula for the Partition Function of Directed Polymers
We prove a factorization formula for the point-to-point partition function associated with a model of directed polymers on the space-time lattice
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On the Nekrasov partition function of gauged Argyres-Douglas theories
We study SU(2) gauge theories coupled to ( A 1 , D N ) theories with or without a fundamental hypermultiplet. For even N , a formula for the contribution...
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Notes on complexity growth rate, grand potential and partition function
We examine the complexity/volume conjecture and further investigate the possible connections between complexity and partition function. The...
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Sphere Partition Function of Calabi–Yau GLSMs
The sphere partition function of Calabi–Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kähler potential of the Kähler...
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Key interaction patterns in proteins revealed by cluster expansion of the partition function
AbstractThe native conformation of structured proteins is stabilized by a complex network of interactions. We analyzed the elementary patterns that...
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A path integral for the chiral-form partition function
Starting from the recent action proposed by Sen [
1 ,2 ], we evaluate the partition function of the compact chiral boson on a two-dimensional torus... -
The two-sphere partition function from timelike Liouville theory at three-loop order
While the Euclidean two-dimensional gravitational path integral is in general highly fluctuating, it admits a semiclassical two-sphere saddle if...
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Theoretical analysis of relativistic energy corrections, partition function and thermodynamic properties of spherically confined hydrogen atom
The relativistic energy corrections for the spherically confined hydrogen with penetrable wall are calculated for various orbitals as a function of...
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Black hole horizon edge partition functions
We extend a formula for 1-loop black hole determinants by Denef, Hartnoll, and Sachdev (DHS) to spinning fields on any ( d + 1)-dimensional static...
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The ALE partition functions of M-strings
We compute the equivariant partition function of the six-dimensional M-string SCFTs on a background with the topology of a product of a...
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Thermodynamic Equilibrium Vortices in Counterflowing Superfluid: Calculation of Partition Function
Based on the theory of the thermodynamic equilibrium in a system of quantum vortices in superfluid liquids and in a Bose–Einstein condensate in the...
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NS5-brane backgrounds and coset CFT partition functions
Worldsheet string theory is solvable for a variety of backgrounds involving Neveu-Schwarz fivebranes, in terms of gauged nonlinear sigma models on...
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Knot homologies and generalized quiver partition functions
We introduce generalized quiver partition functions of a knot K and conjecture a relation to generating functions of symmetrically colored HOMFLY-PT...
