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Super Rogers–Szegö polynomials associated with BCN type of Polychronakos spin chains
Nuclear Physics B, 2017 As is well known, multivariate Rogers–Szegö polynomials are closely connected with the partition functions of the AN−1 type of Polychronakos spin chains having long-range interactions. Applying the ‘freezing trick’, here we derive the partition functions
B. Basu-Mallick, C. Datta
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On superparticles and their partition functions
Journal of High Energy PhysicsWe describe a family of twisted partition functions for the relativistic spinning particle models. For suitable choices of fugacities this computes a refined Euler characteristics that counts the dimension of the physical states for arbitrary picture and,
E. Boffo +3 more
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5d/6d DE instantons from trivalent gluing of web diagrams
Journal of High Energy Physics, 2017 We propose a new prescription for computing the Nekrasov partition functions of five-dimensional theories with eight supercharges realized by gauging non-perturbative flavor symmetries of three five-dimensional superconformal field theories.
Hirotaka Hayashi, Kantaro Ohmori
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Classical Partition Function for Non-Relativistic Gravity
Axioms, 2021 We considered the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution e−βHZ. It is popularly thought that it cannot be built up because the integral involved in constructing Z diverges at the origin.
Mir Hameeda +3 more
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On Stanley's Partition Function [PDF]
The Electronic Journal of Combinatorics, 2010 Stanley defined a partition function $t(n)$ as the number of partitions $\lambda$ of $n$ such that the number of odd parts of $\lambda$ is congruent to the number of odd parts of the conjugate partition $\lambda'$ modulo $4$. We show that $t(n)$ equals the number of partitions of $n$ with an even number of hooks of even length.
William Y. C. Chen +2 more
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Modularity of supersymmetric partition functions
Journal of High Energy Physics, 2021 We discover a modular property of supersymmetric partition functions of supersymmetric theories with R-symmetry in four dimensions. This modular property is, in a sense, the generalization of the modular invariance of the supersymmetric partition ...
Abhijit Gadde
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Recurrence relations connecting mock theta functions and restricted partition functions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we provide some recurrence relations connecting restricted partition functions and mock theta functions. Elementary manipulations are used including Jacobi triple product identity, Euler's pentagonal number theorem, and Ramanujan's theta ...
M. Rana, H. Kaur, K. Garg
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The Complexity of Partition Functions
Theoretical Computer Science, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrei A. Bulatov, Martin Grohe
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Partition Function for a Volume of Space
Physical Review Letters, 2023 We consider the quantum gravity partition function that counts the dimension of the Hilbert space of a spatial region with topology of a ball and fixed proper volume, and evaluate it in the leading order saddle point approximation. The result is the exponential of the Bekenstein-Hawking entropy associated with the area of the saddle ball boundary, and ...
Ted Jacobson, Manus R. Visser
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Exploring Free Matrix CFT Holographies at One-Loop
Universe, 2017 We extend our recent study on the duality between stringy higher spin theories and free conformal field theories (CFTs) in the S U ( N ) adjoint representation to other matrix models, namely the free S O ( N ) and S p ( N ...
Jin-Beom Bae, Euihun Joung, Shailesh Lal
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