Results 41 to 50 of about 149,052 (280)

Mirror theories of 3d N $$ \mathcal{N} $$ = 2 SQCD

Journal of High Energy Physics, 2018
Using a recently proposed duality for U(N ) supersymmetric QCD (SQCD) in three dimensions with monopole superpotential, in this paper we derive the mirror dual description of N $$ \mathcal{N} $$ = 2 SQCD with unitary gauge group, generalizing the known ...
Simone Giacomelli, Noppadol Mekareeya
doaj   +1 more source

Soft matrix models and Chern-Simons partition functions

, 2004
We study the properties of matrix models with soft confining potentials. Their precise mathematical characterization is that their weight function is not determined by its moments.
't Hooft G., M. TIERZ, Mehta M. L., Muttalib K. A., Szego G., Wigert S.   +5 more
core   +1 more source

Congruences and Canonical Forms for a Positive Matrix: Application to the Schweinler-Wigner Extremum Principle [PDF]

, 1998
It is shown that a $N\times N$ real symmetric [complex hermitian] positive definite matrix $V$ is congruent to a diagonal matrix modulo a pseudo-orthogonal [pseudo-unitary] matrix in $SO(m,n)$ [ $SU(m,n)$], for any choice of partition $N=m+n$.
Chaturvedi, S., Simon, R., Srinivasan, V.   +2 more
core   +2 more sources

On the partition function of the six-vertex model with domain wall boundary conditions

, 2004
The six-vertex model on an $N\times N$ square lattice with domain wall boundary conditions is considered. A Fredholm determinant representation for the partition function of the model is given.
A G Pronko, Baxter R J, Berezin F A, Bogoliubov N M, Bressoud D M, Cohn H, Erdélyi A, F Colomo, Faddeev L D, Its A R, Izergin A G, Izergin A G, Jimbo M, Jockush W Propp J Shor P, Khoroshkin S, Koekoek R Swarttouw R F, Korepin V E, Korepin V E, Korepin V E, Lieb E H, Lieb E H, Lieb E H, Perelomov A, Slavnov N A, Sutherland B, Szegö G, Thacker H B, Tracy C A, Zeilberger D, Zinn-Justin P   +29 more
core   +2 more sources

Lower entropy bounds and particle number fluctuations in a Fermi sea [PDF]

, 2006
In this letter we demonstrate, in an elementary manner, that given a partition of the single particle Hilbert space into orthogonal subspaces, a Fermi sea may be factored into pairs of entangled modes, similar to a BCS state.
Klich, Israel
core   +1 more source

On the Structure of SO(3): Trace and Canonical Decompositions

Mathematics
This paper is devoted to some selected topics of the theory of special orthogonal group SO(3). First, we discuss the trace of orthogonal matrices and its relation to the characteristic polynomial; on this basis, the partition of SO(3) formed by ...
Demeter Krupka, Ján Brajerčík
doaj   +1 more source

New 3d N $$ \mathcal{N} $$ = 2 dualities from quadratic monopoles

Journal of High Energy Physics, 2018
Aspects of three dimensional N $$ \mathcal{N} $$ = 2 gauge theories with monopole super-potentials and their dualities are investigated. The moduli spaces of a number of such theories are studied using Hilbert series.
Antonio Amariti, Ivan Garozzo, Noppadol Mekareeya   +2 more
doaj   +1 more source

Discrete modified projection methods for Urysohn integral equations with Green’s function type kernels

Mathematical Modelling and Analysis, 2020
In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green’s function.
Rekha P. Kulkarni, Gobinda Rakshit
doaj   +1 more source

Asymptotics of the partition function for random matrices via Riemann-Hilbert techniques, and applications to graphical enumeration [PDF]

, 2002
We study the partition function from random matrix theory using a well known connection to orthogonal polynomials, and a recently developed Riemann-Hilbert approach to the computation of detailed asymptotics for these orthogonal polynomials.
Ercolani, N. M., McLaughlin, K. D. T-R
core   +4 more sources

Faithful orthogonal representations of graphs from partition logics [PDF]

Soft Computing, 2019
Abstract Partition logics often allow a dual probabilistic interpretation: a classical one for which probabilities lie on the convex hull of the dispersion-free weights and another one, suggested independently from the quantum Born rule, in which probabilities are formed by the (absolute) square of the inner product of state vectors with the faithful ...
openaire   +2 more sources