On the relationship between molecular spectroscopy and statistical mechanics: calculation of vibrational–rotational energy levels and partition functions in the ground electronic state of BC2 [PDF]
The results of extensive ab initio calculations of the vibrational–rotational energy spectrum in the ground electronic state of the BC2 molecule are presented.
STANKA JEROSIMIĆ +4 more
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Twisted partition functions and H-saddles
While studying supersymmetric G-gauge theories, one often observes that a zero-radius limit of the twisted partition function Ω G is computed by the partition function Z G $$ {\mathcal{Z}}^G $$ in one less dimensions.
Chiung Hwang, Piljin Yi
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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 spherically symmetric black hole.
Manvir Grewal +2 more
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Comments on squashed-sphere partition functions
We study the partition function of odd-dimensional conformal field theories placed on spheres with a squashed metric. We establish that the round sphere provides a local extremum for the free energy which, in general, is not a global extremum.
Nikolay Bobev +2 more
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TT¯ $$ T\overline{T} $$ deformed partition functions
We demonstrate the presence of modular properties in partition functions of TT¯ $$ T\overline{T} $$ deformed conformal field theories. These properties are verified explicitly for the deformed free boson.
Shouvik Datta, Yunfeng Jiang
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5d/6d Wilson loops from blowups
We generalize Nakajima-Yoshioka’s blowup formula to calculate the partition functions counting the spectrum of bound states to half-BPS Wilson loop operators in 5d (and 6d) supersymmetric field theories. The partition function in the presence of a Wilson
Hee-Cheol Kim, Minsung Kim, Sung-Soo Kim
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Thermodynamic Compactness and Information-Geometric Bounds in Excluded-Volume Systems
We show that thermodynamic consistency in systems with finite excluded volume implies compact support of the grand canonical particle-number distribution.
Angelo Plastino
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BPS partition functions for S-folds
We derive a formula for the BPS partition functions of arbitrary S-fold theories. We first generalize the known result for the N = 4 $$ \mathcal{N}=4 $$ U(N) supersymmetric Yang-Mills theory to SO and Sp theories, and then we extend the formula to N = 3 $
Reona Arai +2 more
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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 single-particle density of states (DOS) due to the continuous nature of the normal mode spectrum.
Y. T. Albert Law, Klaas Parmentier
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On the relationship between molecular spectroscopy and statistical mechanics: calculation of partition functionsfor triatomic molecules undergoing large-amplitude bending vibrations [PDF]
The evaluation of partition functions for triatomic molecules undergoing large-amplitude bending vibrations is discussed. It was supposed that the needed molecular structure data were obtained by means of ab initio calculations. Special attention is paid
MILJENKO PERIĆ +2 more
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