Search Results - "Mironov, A."

On the complete perturbative solution of one-matrix models by Mironov, A., Morozov, A.

“…We summarize the recent results about complete solvability of Hermitian and rectangular complex matrix models. Partition functions have very simple character…”
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Superintegrability summary by Mironov, A., Morozov, A.

“…We enumerate generalizations of the superintegrability property ∼character and illuminate possible general structures behind them. We collect variations of…”
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Correlators in tensor models from character calculus by Mironov, A., Morozov, A.

“…We explain how the calculations of [20], which provided the first evidence for non-trivial structures of Gaussian correlators in tensor models, are efficiently…”
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Bilinear character correlators in superintegrable theory by Mironov, A., Morozov, A.

“…We continue investigating the superintegrability property of matrix models, i.e. factorization of the matrix model averages of characters. This paper focuses…”
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Many-body integrable systems implied by WLZZ models by Mironov, A., Morozov, A.

“…We provide some details about the recently discovered integrable systems implied by commutativity of W operators along the rays on the plane of roots of…”
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Sum rules for characters from character-preservation property of matrix models by Mironov, A., Morozov, A.

“…A bstract One of the main features of eigenvalue matrix models is that the averages of characters are again characters, what can be considered as a far-going…”
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Spectral curves and W-representations of matrix models by Mironov, A., Morozov, A.

“…A bstract We explain how the spectral curve can be extracted from the W -representation of a matrix model. It emerges from the part of the W -operator, which…”
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Nekrasov functions and exact Bohr-Sommerfeld integrals by Mironov, A., Morozov, A.

“…In the case of SU(2), associated by the AGT relation to the 2 d Liouville theory, the Seiberg-Witten prepotential is constructed from the Bohr-Sommerfeld…”
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Cut-and-join structure and integrability for spin Hurwitz numbers by Mironov, A., Morozov, A., Natanzon, S.

“…Spin Hurwitz numbers are related to characters of the Sergeev group, which are the expansion coefficients of the Q Schur functions, depending on odd times and…”
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Ward identities and combinatorics of rainbow tensor models by Itoyama, H., Mironov, A., Morozov, A.

“…A bstract We discuss the notion of renormalization group (RG) completion of non-Gaussian Lagrangians and its treatment within the framework of…”
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Ding–Iohara–Miki symmetry of network matrix models by Mironov, A., Morozov, A., Zenkevich, Y.

“…Ward identities in the most general “network matrix model” from [1] can be described in terms of the Ding–Iohara–Miki algebras (DIM). This confirms an…”
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On the status of DELL systems by Mironov, A., Morozov, A.

“…A detailed review of the p,q-duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric…”
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On combinatorial generalization(s) of Borel transform: Averaging method in combinatorics of symmetric polynomials by Mironov, A., Morozov, A.

“…We elaborate on the recent suggestion to consider averaging of Cauchy identities for the Schur functions over power sum variables. This procedure has apparent…”
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Commutative families in DIM algebra, integrable many-body systems and q, t matrix models by Mironov, A., Morozov, A., Popolitov, A.

“…A bstract We extend our consideration of commutative subalgebras (rays) in different representations of the W 1+ ∞ algebra to the elliptic Hall algebra (or,…”
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Superintegrability and Kontsevich-Hermitian relation by Mironov, A., Morozov, A.

“…We analyze the well-known equivalence between the quadratic Kontsevich-Penner and Hermitian matrix models from the point of view of superintegrability…”
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On determinant representation and integrability of Nekrasov functions by Mironov, A., Morozov, A.

“…Conformal blocks and their AGT relations to LMNS integrals and Nekrasov functions are best described by “conformal” (or Dotsenko–Fateev) matrix models, but in…”
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Matrix model partition function by a single constraint by Mironov, A., Mishnyakov, V., Morozov, A., Rashkov, R.

“…In the recent study of Virasoro action on characters, we discovered that it gets especially simple for peculiar linear combinations of the Virasoro operators:…”
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Duality in elliptic Ruijsenaars system and elliptic symmetric functions by Mironov, A., Morozov, A., Zenkevich, Y.

“…We demonstrate that the symmetric elliptic polynomials E λ ( x ) originally discovered in the study of generalized Noumi–Shiraishi functions are eigenfunctions…”
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Tensorial generalization of characters by Itoyama, H., Mironov, A., Morozov, A.

“…A bstract In rainbow tensor models, which generalize rectangular complex matrix model (RCM) and possess a huge gauge symmetry U( N 1 ) × … × U( N r ), we…”
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New insights into superintegrability from unitary matrix models by Mironov, A., Morozov, A., Zakirova, Z.

“…Some eigenvalue matrix models possess an interesting property: one can manifestly define the basis where all averages can be explicitly calculated. For…”
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