Functional clones and expressibility of partition functions
42 pages, 6 figures; minor ...
Andrei Bulatov 0001 +4 more
openaire +5 more sources
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
doaj
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj
Sphere partition functions & cut-off AdS
We consider sphere partition functions of TT deformed large N conformal field theories in d = 2, 3, 4, 5 and 6 dimensions, computed using the flow equation.
Pawel Caputa +2 more
doaj +1 more source
AdS_3 Partition Functions Reconstructed
For pure gravity in AdS_3, Witten has given a recipe for the construction of holomorphically factorizable partition functions of pure gravity theories with central charge c=24k. The partition function was found to be a polynomial in the modular invariant
D. Gaiotto +10 more
core +1 more source
Hecke Operator and S-Duality of N=4 Super Yang-Mills for ADE Gauge Group on K3 [PDF]
We determine the partition functions of ${\cal N}=4$ super Yang-Mills gauge theory for some $ADE$ gauge groups on $K3$, under the assumption that they are holomorphic.
Sasaki, Toru
core +3 more sources
Boundaries, Vermas and factorisation
We revisit the factorisation of supersymmetric partition functions of 3d N $$ \mathcal{N} $$ = 4 gauge theories. The building blocks are hemisphere partition functions of a class of UV N $$ \mathcal{N} $$ = (2, 2) boundary conditions that mimic the ...
Mathew Bullimore +2 more
doaj +1 more source

