Partition Function
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Recent papers in Partition Function
It is known that a single product shock measure in some of one-dimensional driven-diffusive systems with nearest-neighbor interactions might evolve in time quite similar to a random walker moving on a one-dimensional lattice with... more
Sana UllahΨ , Murad Ali+, Md. Asdaque HussainΨ, and Kyung Sup KwakΨ Ψ Graduate School of IT and Telecommunications, Inha University 253 Yonghyun-Dong, Nam-Gu, Incheon 402-751, South Korea. + KDI School of Public Policy and Management 87... more
... Associate editor: David J. Vaughan. ... have provided a robust description of the structure and properties of a number of minerals, including the incorporation mechanisms of trace elements and isotopic fractionation factors (eg,... more
Motivated by the interpretation of the Ooguri-Strominger-Vafa conjecture as a holographic correspondence in the mini-superspace approximation, we study the radial quantization of stationary, spherically symmetric black holes in four... more
This thesis deals with the geometric and integrable aspects associated with random matrix models. Its purpose is to provide various applications of random matrix theory, from algebraic geometry to partial differential equations of... more
We define the $n$-point function for a vertex operator algebra on a genus two Riemann surface in two separate sewing schemes where either two tori are sewn together or a handle is sewn to one torus. We explicitly obtain closed formulas... more
We study the gravity duals of symmetry-breaking deformations of superconfor- mal field theories, AdS/CFT dual to Type IIB string theory on AdS5 ×Y where Y is a Sasaki-Einstein manifold. In these vacua both conformal invariance and... more
We describe an interpretation of the Kervaire invariant of a Riemannian manifold of dimension $4k+2$ in terms of a holomorphic line bundle on the abelian variety $H^{2k+1}(M)\otimes R/Z$. Our results are inspired by work of Witten on the... more
The topological string partition function Z(λ,t,t) =exp(λ2 g-2 Fg(t, t)) is calculated on a compact Calabi–Yau M. The Fg(t, t) fulfil the holomorphic anomaly equations, which imply that ψ=Z transforms as a wave function on the symplectic... more
We present an alternative formulation of Equilibrium Statistical Mechanics which follows the method based on the maximum statistical entropy principle in Information Theory combined with the use of Massieu–Planck functions. The different... more
We show that the dimer model on a bipartite graph on a torus gives rise to a quantum integrable system of special type - a cluster integrable system. The phase space of the classical system contains, as an open dense subset, the moduli... more
Motivated by the interpretation of the Ooguri-Strominger-Vafa conjecture as a holographic correspondence in the mini-superspace approximation, we study the radial quantization of stationary, spherically symmetric black holes in four... more
1Presented at the 1993 Trieste Summer School in High Energy Physics and Cosmology, 14 June - 30 July 1993. 2e-mail: blau@ictp.trieste.it 3e-mail: thompson@ictp.trieste.it ... 2 Yang-Mills and Topological Gauge Theories in Two Dimensions 4
In this series of lectures a method is developed to compute one-loop shifts to classical masses of kinks, multi-component kinks, and self-dual vortices. Canonical quantization is used to show that the mass shift induced by one-loop... more
We revise the Unruh effect (vacuum radiation in uniformly relativistic accelerated frames) in a group-theoretical setting by constructing a conformal SO(4,2)-invariant quantum field theory and its spontaneous breakdown when selecting... more