Communications in algebra, ISSN 0092-7872, 07/2019, Volume 47, Issue 7, pp. 2883 - 2903

In this paper, we study extensions between two finite irreducible conformal modules over the Schrödinger-Virasoro conformal algebra and the extended...

extended Schrödinger-Virasoro conformal algebra | extension | Schrödinger-Virasoro conformal algebra | Conformal module | 17B68 | 17B10 | 17B65 | extended Schrödinger–Virasoro conformal algebra | Schrödinger–Virasoro conformal algebra | Schrodinger-Virasoro conformal algebra | MATHEMATICS | ALGEBRAS | COHOMOLOGY | extended Schrodinger-Virasoro conformal algebra | Modules | Algebra

extended Schrödinger-Virasoro conformal algebra | extension | Schrödinger-Virasoro conformal algebra | Conformal module | 17B68 | 17B10 | 17B65 | extended Schrödinger–Virasoro conformal algebra | Schrödinger–Virasoro conformal algebra | Schrodinger-Virasoro conformal algebra | MATHEMATICS | ALGEBRAS | COHOMOLOGY | extended Schrodinger-Virasoro conformal algebra | Modules | Algebra

Journal Article

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, ISSN 0031-9015, 12/2019, Volume 88, Issue 12, p. 124003

Matrix integrals used in random matrix theory have been revealed to provide tau-functions for several hierarchies of soliton equations. In this article, we...

MODELS | PHYSICS, MULTIDISCIPLINARY | VIRASORO

MODELS | PHYSICS, MULTIDISCIPLINARY | VIRASORO

Journal Article

Journal of Algebra, ISSN 0021-8693, 02/2016, Volume 447, pp. 548 - 559

In this paper, we provide a uniform method to thoroughly classify all Harish-Chandra modules over some Lie algebras related to the Virasoro algebras. We first...

Virasoro algebra | Schrödinger–Virasoro algebra | Harish-Chandra module | Schrödinger-Virasoro algebra | MATHEMATICS | REPRESENTATION-THEORY | SCHRODINGER-INVARIANCE | DIMENSIONAL WEIGHT SPACE | Schrodinger-Virasoro algebra | KAC | CONJECTURE | Algebra

Virasoro algebra | Schrödinger–Virasoro algebra | Harish-Chandra module | Schrödinger-Virasoro algebra | MATHEMATICS | REPRESENTATION-THEORY | SCHRODINGER-INVARIANCE | DIMENSIONAL WEIGHT SPACE | Schrodinger-Virasoro algebra | KAC | CONJECTURE | Algebra

Journal Article

Linear & multilinear algebra, ISSN 1563-5139, 2016, Volume 65, Issue 1, pp. 58 - 66

In this paper, we attempt to investigate the super-biderivations of Lie superalgebras. Furthermore, we prove that all super-biderivations on the centerless...

super-Virasoro algebras | Lie superalgebras | super-biderivations | biderivations | MATHEMATICS | MODULES | VIRASORO ALGEBRA | LINEAR COMMUTING MAPS | Algebra

super-Virasoro algebras | Lie superalgebras | super-biderivations | biderivations | MATHEMATICS | MODULES | VIRASORO ALGEBRA | LINEAR COMMUTING MAPS | Algebra

Journal Article

Journal of Algebra, ISSN 0021-8693, 01/2020, Volume 542, pp. 1 - 34

We prove that any irreducible Harish-Chandra module for a class of Lie algebras, which we call gap-p Virasoro algebras, must be a highest weight module, a...

Heisenberg-Virasoro algebra | Harish-Chandra module | Virasoro algebra | Module of intermediate series | Hanish-Chandra module | MATHEMATICS | WEIGHT MODULES | LIE-ALGEBRA

Heisenberg-Virasoro algebra | Harish-Chandra module | Virasoro algebra | Module of intermediate series | Hanish-Chandra module | MATHEMATICS | WEIGHT MODULES | LIE-ALGEBRA

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 08/2016, Volume 106, pp. 102 - 107

In this paper, we classify all irreducible weight modules over the affine-Virasoro Lie algebra of type A1 with finite dimensional weight spaces.

Virasoro algebra | Affine-Virasoro algebras | Weight module | Secondary | Primary

Virasoro algebra | Affine-Virasoro algebras | Weight module | Secondary | Primary

Journal Article

1997, ISBN 9789504387381, 472

Book

Journal of Mathematical Physics, ISSN 0022-2488, 02/2010, Volume 51, Issue 2, pp. 022303 - 022303-8

In this paper, we describe the structure of Verma modules over the W -algebra W ( 2 , 2 ) . We show that either a Verma module over W ( 2 , 2 ) is irreducible...

PHYSICS, MATHEMATICAL | VIRASORO

PHYSICS, MATHEMATICAL | VIRASORO

Journal Article

Nuclear physics. B, ISSN 0550-3213, 2012, Volume 855, Issue 1, pp. 128 - 151

We extend the proof from Mironov et al. (2011) [25], which interprets the AGT relation as the Hubbard–Stratonovich duality relation to the case of 5 d gauge...

Seiberg–Witten theory | Matrix models | AGT conjecture | (5 d) [formula omitted] SUSY gauge theory | ( q-)Virasoro algebra | (5d) N=2 SUSY gauge theory | Seiberg-Witten theory | (q-)Virasoro algebra | HAMILTONIAN REDUCTION | ZUMINO-WITTEN MODEL | PARAFERMIONS | GAUGE-THEORIES | SYMMETRY | INTEGRABLE SYSTEMS | POINT-OF-VIEW | CONFORMAL BLOCKS | FREE-FIELD REPRESENTATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Seiberg–Witten theory | Matrix models | AGT conjecture | (5 d) [formula omitted] SUSY gauge theory | ( q-)Virasoro algebra | (5d) N=2 SUSY gauge theory | Seiberg-Witten theory | (q-)Virasoro algebra | HAMILTONIAN REDUCTION | ZUMINO-WITTEN MODEL | PARAFERMIONS | GAUGE-THEORIES | SYMMETRY | INTEGRABLE SYSTEMS | POINT-OF-VIEW | CONFORMAL BLOCKS | FREE-FIELD REPRESENTATION | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 02/2017, Volume 50, Issue 11, p. 115205

Journal Article

11.
Full Text
Irregular conformal blocks, with an application to the fifth and fourth Painlevé equations

Journal of mathematical physics, ISSN 1089-7658, 2015, Volume 56, Issue 12, p. 123505

We develop the theory of irregular conformal blocks of the Virasoro algebra. In previous studies, expansions of irregular conformal blocks at regular singular...

PHYSICS, MATHEMATICAL | VIRASORO ALGEBRA | MODULES | Operators (mathematics) | Mathematical analysis | Degeneration

PHYSICS, MATHEMATICAL | VIRASORO ALGEBRA | MODULES | Operators (mathematics) | Mathematical analysis | Degeneration

Journal Article

International journal of modern physics. A, Particles and fields, gravitation, cosmology, ISSN 1793-656X, 2019, Volume 34, Issue 25, p. 1950142

Additional symmetry is an important kind of symmetries depending explicitly on the time and space variables, which can be expressed through Sato–Bäcklund...

Virasoro constraints | W-CONSTRAINTS | MODIFIED KP HIERARCHY | SQUARED EIGENFUNCTION SYMMETRIES | OPERATOR | PHYSICS, NUCLEAR | Sato-Backlund transformations | string equations | SOLITON-EQUATIONS | ADDITIONAL SYMMETRIES | VIRASORO | PHYSICS, PARTICLES & FIELDS

Virasoro constraints | W-CONSTRAINTS | MODIFIED KP HIERARCHY | SQUARED EIGENFUNCTION SYMMETRIES | OPERATOR | PHYSICS, NUCLEAR | Sato-Backlund transformations | string equations | SOLITON-EQUATIONS | ADDITIONAL SYMMETRIES | VIRASORO | PHYSICS, PARTICLES & FIELDS

Journal Article

Advances in Mathematics, ISSN 0001-8708, 02/2016, Volume 289, pp. 438 - 479

We prove the irreducibility of the universal non-degenerate Whittaker modules for the affine Lie algebra sl2ˆ of type A1(1) with noncritical level. These...

Wakimoto modules | Critical level | Virasoro algebra | Whittaker modules

Wakimoto modules | Critical level | Virasoro algebra | Whittaker modules

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 11/2014, Volume 47, Issue 46

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 05/2013, Volume 46, Issue 21, pp. 214002 - 47

We review the duality relating 2D W-N minimal model conformal field theories, in a large-N 't Hooft like limit, to higher spin gravitational theories on AdS(3).

INFINITY | FIELDS | SYMMETRY | PHYSICS, MULTIDISCIPLINARY | W-ALGEBRAS | CLASSIFICATION | REALIZATION | PHYSICS, MATHEMATICAL | GRAVITY | VIRASORO | FAMILY | Holography | Field theory | Mathematical models | Two dimensional

INFINITY | FIELDS | SYMMETRY | PHYSICS, MULTIDISCIPLINARY | W-ALGEBRAS | CLASSIFICATION | REALIZATION | PHYSICS, MATHEMATICAL | GRAVITY | VIRASORO | FAMILY | Holography | Field theory | Mathematical models | Two dimensional

Journal Article

16.
Full Text
Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results

Journal of algebra, ISSN 0021-8693, 2018, Volume 500, pp. 117 - 152

We find all values of k∈C, for which the embedding of the maximal affine vertex algebra in a simple minimal W-algebra Wk(g,θ) is conformal, where g is a basic...

Vertex algebra | Conformal level | Virasoro (=conformal) vector | Conformal embedding | Collapsing level | MATHEMATICS | DECOMPOSITIONS | REPRESENTATION-THEORY | SPACES | SUPERCONFORMAL ALGEBRAS | SUPERALGEBRAS | Virasoro (= conformal) vector | SUBALGEBRAS | QUANTUM REDUCTION | Mathematics - Representation Theory

Vertex algebra | Conformal level | Virasoro (=conformal) vector | Conformal embedding | Collapsing level | MATHEMATICS | DECOMPOSITIONS | REPRESENTATION-THEORY | SPACES | SUPERCONFORMAL ALGEBRAS | SUPERALGEBRAS | Virasoro (= conformal) vector | SUBALGEBRAS | QUANTUM REDUCTION | Mathematics - Representation Theory

Journal Article

Communications in algebra, ISSN 1532-4125, 2018, Volume 46, Issue 10, pp. 4243 - 4264

For the two Cartan type S subalgebras of the Witt algebra n , called Lie algebras of divergence-zero vector fields, we determine all module structures on the...

non-weight modules | Lie algebras of Cartan type S | Lie algebras of divergence-zero vector fields | Virasoro-like algebra | MATHEMATICS | FINITE | SIMPLE VIRASORO MODULES | POSITIVE PART

non-weight modules | Lie algebras of Cartan type S | Lie algebras of divergence-zero vector fields | Virasoro-like algebra | MATHEMATICS | FINITE | SIMPLE VIRASORO MODULES | POSITIVE PART

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2016, Volume 49, Issue 16

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2018, Volume 51, Issue 42, p. 423001

This paper gives the most general form of the Adler-Kostant-Symes theorem, and many applications of it, both finite and infinite dimensional, the former...

Virasoro constraints | random matrix theory | integrability | Lax pairs | algebraic integrability | PHYSICS, MULTIDISCIPLINARY | AFFINE LIE-ALGEBRAS | PHYSICS, MATHEMATICAL | INTEGRALS | REPRESENTATION-THEORY | CENTRAL EXTENSION | HAMILTONIAN-SYSTEMS | LAX EQUATIONS | ORTHOGONAL POLYNOMIALS | SPECTRUM | LEVEL-SPACING DISTRIBUTIONS | TODA LATTICE

Virasoro constraints | random matrix theory | integrability | Lax pairs | algebraic integrability | PHYSICS, MULTIDISCIPLINARY | AFFINE LIE-ALGEBRAS | PHYSICS, MATHEMATICAL | INTEGRALS | REPRESENTATION-THEORY | CENTRAL EXTENSION | HAMILTONIAN-SYSTEMS | LAX EQUATIONS | ORTHOGONAL POLYNOMIALS | SPECTRUM | LEVEL-SPACING DISTRIBUTIONS | TODA LATTICE

Journal Article

Results in Mathematics, ISSN 1422-6383, 12/2019, Volume 74, Issue 4, pp. 1 - 16

In this paper, we realize polynomial $$\mathcal {H}$$ H -modules $$\Omega (\lambda ,\alpha ,\beta )$$ Ω(λ,α,β) from irreducible twisted Heisenberg–Virasoro...

17B68 | tensor product module | 17B10 | 17B65 | Mathematics, general | Mathematics | Twisted Heisenberg–Virasoro algebra | irreducible module | Twisted Heisenberg-Virasoro algebra | MATHEMATICS | MATHEMATICS, APPLIED | WEIGHT MODULES | CLASSIFICATION | Algebra

17B68 | tensor product module | 17B10 | 17B65 | Mathematics, general | Mathematics | Twisted Heisenberg–Virasoro algebra | irreducible module | Twisted Heisenberg-Virasoro algebra | MATHEMATICS | MATHEMATICS, APPLIED | WEIGHT MODULES | CLASSIFICATION | Algebra

Journal Article

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