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Physics Letters B, ISSN 0370-2693, 09/2018, Volume 784, pp. 342 - 344
The recently discovered general formulas for perturbative correlators in basic matrix models can be interpreted as the Schur-preservation property of Gaussian... 
POLYNOMIALS | SYMMETRY | ASTRONOMY & ASTROPHYSICS | REPRESENTATION | PHYSICS, NUCLEAR | TENSOR-MODELS | GRAVITY | PHYSICS, PARTICLES & FIELDS | Analysis | Information management | Subatomic Physics | Mathematical Physics | Subatomär fysik | Mathematics | High Energy Physics - Theory | Physics | Representation Theory | Fysik | Physical Sciences | Naturvetenskap | Natural Sciences
Journal Article
Physics Letters A, ISSN 0375-9601, 02/2011, Volume 375, Issue 6, p. 984
Using the replica method, we calculate the mean Coulomb energy of two-dimensional (2d) Dyson gas (in quadratic potential and for particular value of Coulomb... 
Journal Article
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 2009, Volume 2009, Issue 4, pp. 64 - 64
JHEP 0904:064,2009 We show that partition functions of various matrix models can be obtained by acting on elementary functions with exponents of W-operators. A... 
Matrix models | Conformal and w symmetry | Integrable hierarchies | Physics - High Energy Physics - Theory
Journal Article
04/2017
We consider a system of three commuting difference operators in three variables $x_{12},x_{13},x_{23}$ with two generic complex parameters $q,t$. This system... 
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2012, Volume 855, Issue 1, pp. 128 - 151
Journal Article
Physics Letters A, ISSN 0375-9601, 02/2011, Volume 375, Issue 6, pp. 984 - 989
Using the replica method, we calculate the mean Coulomb energy of two-dimensional (2d) Dyson gas (in quadratic potential and for particular value of Coulomb... 
PHYSICS, MULTIDISCIPLINARY | Coulomb friction | Energy use | Asymptotic properties | Mathematical analysis | Exact solutions | Images | Solid state physics | Recursive | Energy of solution
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 06/2018, Volume 33, Issue 17, p. 1850105
Quantum ℛ -matrices are the building blocks for the colored HOMFLY polynomials. In the case of three-strand braids with an identical finite-dimensional... 
representation theory | knot theory | Racah matrices | Chern-Simons theory | quantum groups | topological field theory | COLORED KNOT POLYNOMIALS | REPRESENTATIONS | FIELD-THEORIES | INVARIANTS | LINKS | PHYSICS, NUCLEAR | PRETZEL KNOTS | ALGEBRAS | EVOLUTION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 06/2010, Volume 25, Issue 16, pp. 3173 - 3207
Journal Article
Journal Article
SELECTA MATHEMATICA-NEW SERIES, ISSN 1022-1824, 06/2019, Volume 25, Issue 2, p. 1
We consider a system of three commuting difference operators in three variables x12,x13,x23 with two generic complex parameters q,t. This system and its... 
POLYNOMIALS | MATHEMATICS | MATHEMATICS, APPLIED | INVARIANTS | QUANTUM | Analysis | Algebra | Resveratrol
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 06/2010, Volume 25, Issue 16, pp. 3173 - 3207
As anticipated in Ref. 1, elaborated in Refs. 2–4, and explicitly formulated in Ref. 5, the Dotsenko–Fateev integral discriminant coincides with conformal... 
STRINGS | 2D conformal theories | HAMILTONIAN REDUCTION | EQUATIONS | matrix models | PHYSICS, NUCLEAR | ZUMINO-WITTEN MODEL | PARAFERMIONS | SYMMETRY | Dotsenko-Fateev representation | POINT-OF-VIEW | DUALITY | FREE-FIELD REPRESENTATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 01/2012, Volume 27, Issue 1, p. 1230001
A matrix model approach to proof of the AGT relation is briefly reviewed. It starts from the substitution of conformal blocks by the Dotsenko–Fateev β-ensemble... 
matrix model | Nekrasov functions | conformal theories | Seiberg-Witten theory | 1ST SPECIAL-FUNCTIONS | TODA HIERARCHY | SUPERSYMMETRIC GAUGE | PHYSICS, NUCLEAR | INTEGRABLE SYSTEMS | CONFORMAL SYMMETRY | WDVV EQUATIONS | SUSY FIELD-THEORIES | PARTITION-FUNCTIONS | VIRASORO CONSTRAINTS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 2012, Volume 45, Issue 35, pp. 355202 - 1-355202-11
We show that the HOMFLYPT polynomials for the torus knots T[m, n] in all fundamental representations are equal to the Hall-Littlewood polynomials in a... 
KNOT | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | OPERATORS | ALGEBRA | Mathematical analysis | Braiding | Strands | Polynomials | Representations | Knots | Symmetry
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 12/2009, Volume 2009, Issue 12, pp. 002 - 2
The simplest partition function, associated with homogene