Journal of Geometry and Physics, ISSN 0393-0440, 04/2017, Volume 114, pp. 394 - 403

Super W-algebra SW(32,32) is the supersymmetric extension of Galilean conformal algebra in 2d. In this paper, we obtain that super W-algebra SW(32,32) admits...

Super [formula omitted]-algebra [formula omitted] | Superconformal algebra | Lie super-bialgebra | Yang–Baxter equation | Algebra

Super [formula omitted]-algebra [formula omitted] | Superconformal algebra | Lie super-bialgebra | Yang–Baxter equation | Algebra

Journal Article

International Journal of Mathematics, ISSN 0129-167X, 07/2016, Volume 27, Issue 8, p. 1650065

The derivation algebra and automorphism group of a class of super W -algebra W ( 2 , 2 ) are completely determined in this paper.

derivation algebra | Automorphism group | super W-algebra | LIE-ALGEBRAS | MATHEMATICS | COHOMOLOGY | super W-algebra W alpha | VIRASORO | Algebra

derivation algebra | Automorphism group | super W-algebra | LIE-ALGEBRAS | MATHEMATICS | COHOMOLOGY | super W-algebra W alpha | VIRASORO | Algebra

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 11/2017, Volume 58, Issue 11, p. 111701

In this paper, we study the finite W-algebra for the queer Lie superalgebra Q(N) associated with the non-regular even nilpotent coadjoint orbits in the case...

PHYSICS, MATHEMATICAL | SUPER-YANGIANS | SHIFTED YANGIANS | Algebra | Mathematics - Representation Theory

PHYSICS, MATHEMATICAL | SUPER-YANGIANS | SHIFTED YANGIANS | Algebra | Mathematics - Representation Theory

Journal Article

Communications in Algebra, ISSN 0092-7872, 05/2019, Volume 47, Issue 5, pp. 2271 - 2279

In this paper, Lie super-bialgebra structures on a class of generalized super W-algebra are investigated. By proving the first cohomology group of with...

Lie super-bialgebra | Cohomology group | generalized super W-algebras | Mathematical analysis | Homology | Tensors

Lie super-bialgebra | Cohomology group | generalized super W-algebras | Mathematical analysis | Homology | Tensors

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 04/2017, Volume 114, pp. 394 - 403

Super W-algebra [Formula Presented] is the supersymmetric extension of Galilean conformal algebra in 2d. In this paper, we obtain that super W-algebra [Formula...

Superconformal algebra | Lie super-bialgebra | Yang–Baxter equation | Super W-algebra SW[Formula Presented]

Superconformal algebra | Lie super-bialgebra | Yang–Baxter equation | Super W-algebra SW[Formula Presented]

Journal Article

JOURNAL OF GEOMETRY AND PHYSICS, ISSN 0393-0440, 04/2017, Volume 114, pp. 394 - 403

Super W-algebra S W(3/2, 3/2) is the supersymmetric extension of Galilean conformal algebra in 2d. In this paper, we obtain that super W-algebra S W(3/2, 3/2)...

MATHEMATICS, APPLIED | Yang-Baxter equation | Superconformal algebra | SYMMETRY | Lie super-bialgebra | Super W-algebra S W(3/2,3/2) | VIRASORO ALGEBRA | QUANTUM-FIELD THEORY | CLASSIFICATION | WITT | PHYSICS, MATHEMATICAL

MATHEMATICS, APPLIED | Yang-Baxter equation | Superconformal algebra | SYMMETRY | Lie super-bialgebra | Super W-algebra S W(3/2,3/2) | VIRASORO ALGEBRA | QUANTUM-FIELD THEORY | CLASSIFICATION | WITT | PHYSICS, MATHEMATICAL

Journal Article

COLLOQUIUM MATHEMATICUM, ISSN 0010-1354, 2018, Volume 153, Issue 2, pp. 273 - 300

Super-biderivations of the super W-algebra (W) over tilde (2; 2) are characterized. In particular, it is shown that (W) over tilde (2, 2) admits a non-inner...

MATHEMATICS | W(2,2) | super-biderivation | LIE-SUPERALGEBRAS | TRIANGULAR MATRIX-RINGS | super W-algebra | linear super-commuting map | Lie superalgebra

MATHEMATICS | W(2,2) | super-biderivation | LIE-SUPERALGEBRAS | TRIANGULAR MATRIX-RINGS | super W-algebra | linear super-commuting map | Lie superalgebra

Journal Article

Colloquium Mathematicum, ISSN 0010-1354, 2018, Volume 153, Issue 2, pp. 273 - 300

Journal Article

Acta Mathematica Sinica, Chinese Series, ISSN 0583-1431, 11/2015, Volume 58, Issue 6, pp. 1053 - 1056

Journal Article

Communications in Algebra, ISSN 0092-7872, 12/2017, Volume 45, Issue 12, pp. 5252 - 5261

In this paper, the biderivations without the skew-symmetric condition of W-algebras including the Witt algebra, the algebra W(2,2) and their central extensions...

post-Lie algebra | Biderivation | W-algebra | linear commuting map | TRIANGULAR ALGEBRAS | W(2,2) | SERIES | REPRESENTATIONS | MATHEMATICS | MODULES | MATRICES | AFFINE | SUPER-VIRASORO ALGEBRAS | Quantum theory | Algebra | Lie groups

post-Lie algebra | Biderivation | W-algebra | linear commuting map | TRIANGULAR ALGEBRAS | W(2,2) | SERIES | REPRESENTATIONS | MATHEMATICS | MODULES | MATRICES | AFFINE | SUPER-VIRASORO ALGEBRAS | Quantum theory | Algebra | Lie groups

Journal Article

PHYSICS LETTERS B, ISSN 0370-2693, 12/1996, Volume 389, Issue 4, pp. 665 - 672

We investigate (1,0)-superconformal Toda theories based on simple Lie algebras and find that the classical integrability properties of the underlying bosonic...

EXTENDED SUPERCONFORMAL ALGEBRA | LIE-SUPERALGEBRAS | SIGMA-MODELS | W-ALGEBRAS | TODA FIELD-THEORIES | HAMILTONIAN REDUCTION | EQUATIONS | CLASSIFICATION | K UI PHYSICS | PHYSICS | LATTICE | SUPER-LIOUVILLE THEORY

EXTENDED SUPERCONFORMAL ALGEBRA | LIE-SUPERALGEBRAS | SIGMA-MODELS | W-ALGEBRAS | TODA FIELD-THEORIES | HAMILTONIAN REDUCTION | EQUATIONS | CLASSIFICATION | K UI PHYSICS | PHYSICS | LATTICE | SUPER-LIOUVILLE THEORY

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 2011, Volume 2011, Issue 3

We consider 6d N = (2, 0) theory on N M5-branes, together with a 4d defect labeled by a Young diagram Y specifying its global symmetry G(Y). A recent...

Conformal and W symmetry | Super symmetric gauge theory | M-theory | Brane dynamics in gauge theories | Brane Dynamics in Gauge Theories | Conformal and W Symmetry | CONFORMAL BLOCKS | M-Theory | Supersymmetric gauge theory | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Conformal and W symmetry | Super symmetric gauge theory | M-theory | Brane dynamics in gauge theories | Brane Dynamics in Gauge Theories | Conformal and W Symmetry | CONFORMAL BLOCKS | M-Theory | Supersymmetric gauge theory | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

JOURNAL OF MATHEMATICAL PHYSICS, ISSN 0022-2488, 06/1994, Volume 35, Issue 6, pp. 3190 - 3210

The algebra XI of nonlinear (local and nonlocal) differential operators, acting on the ring of analytic functions, is studied. It is shown in particular that...

SUPERSYMMETRIC EXTENSION | SYMMETRY | W-ALGEBRAS | EQUATIONS | CONFORMAL FIELD-THEORIES | PHYSICS, MATHEMATICAL | OPERATORS | SUPER KDV

SUPERSYMMETRIC EXTENSION | SYMMETRY | W-ALGEBRAS | EQUATIONS | CONFORMAL FIELD-THEORIES | PHYSICS, MATHEMATICAL | OPERATORS | SUPER KDV

Journal Article

Journal of Mathematical Physics, ISSN 0022-2488, 07/2008, Volume 49, Issue 7, pp. 073512 - 073512-12

The study of quantum Lie algebras motivates a use of noncanonical ghosts and antighosts for nonlinear algebras, such as W -algebras. This leads, for the W 3...

FIELDS | COMPLEX | QUANTUM LIE-ALGEBRAS | GAUGE TRANSFORMATIONS | SUPER-W3 | BRST OPERATOR | MASSLESS | PHYSICS, MATHEMATICAL | GRAVITY | LAGRANGIAN FORMULATION | DIFFERENTIAL-CALCULUS | NONLINEAR PROBLEMS | QUANTUM MECHANICS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | LIE GROUPS | QUANTUM OPERATORS

FIELDS | COMPLEX | QUANTUM LIE-ALGEBRAS | GAUGE TRANSFORMATIONS | SUPER-W3 | BRST OPERATOR | MASSLESS | PHYSICS, MATHEMATICAL | GRAVITY | LAGRANGIAN FORMULATION | DIFFERENTIAL-CALCULUS | NONLINEAR PROBLEMS | QUANTUM MECHANICS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | ALGEBRA | LIE GROUPS | QUANTUM OPERATORS

Journal Article

2011, Fields Institute communications, ISBN 9780821852378, Volume 59, 213

Book

Nuclear Physics B, ISSN 0550-3213, 09/2001, Volume 610, Issue 3, pp. 545 - 577

SW(3/2,2) superconformal algebra is W algebra with two Virasoro operators. The Kac determinant is calculated and the complete list of unitary representations...

11.25.Hf | SYMMETRY | VIRASORO ALGEBRA | QUANTUM-FIELD THEORY | MINIMAL MODELS | CLASSIFICATION | PHYSICS, NUCLEAR | SUPER W-ALGEBRAS | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS

11.25.Hf | SYMMETRY | VIRASORO ALGEBRA | QUANTUM-FIELD THEORY | MINIMAL MODELS | CLASSIFICATION | PHYSICS, NUCLEAR | SUPER W-ALGEBRAS | 2 DIMENSIONS | PHYSICS, PARTICLES & FIELDS

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 10/1999, Volume 14, Issue 25, pp. 4043 - 4060

The standard format of matrices belonging to Lie superalgebras consists of partitioning the matrices into even and odd blocks. In this paper, we present a...

SUPERCONFORMALLY COVARIANT OPERATORS | PHYSICS, NUCLEAR | SUPER-W-ALGEBRAS | TODA | PHYSICS, PARTICLES & FIELDS

SUPERCONFORMALLY COVARIANT OPERATORS | PHYSICS, NUCLEAR | SUPER-W-ALGEBRAS | TODA | PHYSICS, PARTICLES & FIELDS

Journal Article

18.
Full Text
Non-local Conservation Laws and Flow Equations¶ for Supersymmetric Integrable Hierarchies

Communications in Mathematical Physics, ISSN 0010-3616, 03/2001, Volume 217, Issue 2, pp. 249 - 284

An infinite series of Grassmann-odd and Grassmann-even flow equations is defined for a class of supersymmetric integrable hierarchies associated with loop...

DRINFELD-SOKOLOV REDUCTION | LIE-SUPERALGEBRAS | W-ALGEBRAS | EXTENSION | 2 SUPER KDV | GENERALIZED N | PHYSICS, MATHEMATICAL | TAU-FUNCTIONS

DRINFELD-SOKOLOV REDUCTION | LIE-SUPERALGEBRAS | W-ALGEBRAS | EXTENSION | 2 SUPER KDV | GENERALIZED N | PHYSICS, MATHEMATICAL | TAU-FUNCTIONS

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 1997, Volume 183, Issue 1, pp. 205 - 252

We construct N=2 affine current algebras for the superalgebras sl(n/n - 1)((1)) in terms of N=2 supercurrents subjected to nonlinear constraints and discuss...

STRINGS | FIELD-THEORIES | SUPERCONFORMAL ALGEBRAS | WZW MODELS | COLOR | K UR PHYSICS, MATHEMATICAL | W-ALGEBRAS | SUPER-W3 | SUPER-W-3() ALGEBRA | CLASSIFICATION | PHYSICS, MATHEMATICAL | 2 DIMENSIONS | Physics - High Energy Physics - Theory | 17B81 | 81T60 | 17B68 | 81R10

STRINGS | FIELD-THEORIES | SUPERCONFORMAL ALGEBRAS | WZW MODELS | COLOR | K UR PHYSICS, MATHEMATICAL | W-ALGEBRAS | SUPER-W3 | SUPER-W-3() ALGEBRA | CLASSIFICATION | PHYSICS, MATHEMATICAL | 2 DIMENSIONS | Physics - High Energy Physics - Theory | 17B81 | 81T60 | 17B68 | 81R10

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 1997, Volume 503, Issue 3, pp. 715 - 746

An analysis is given of the structure of a general two-dimensional Toda field theory involving bosons and fetmions which is defined in terms of a set of simple...

EXTENDED SUPERCONFORMAL ALGEBRA | SINE-GORDON THEORY | LIGHT-CONE QUANTIZATION | K UP PHYSICS, PARTICLES & FIELDS | W-ALGEBRAS | HAMILTONIAN REDUCTION | EXACT S-MATRICES | MINIMAL MODELS | CONFORMAL FIELD-THEORIES | SUPER-LIOUVILLE THEORY | AFFINE TODA THEORIES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

EXTENDED SUPERCONFORMAL ALGEBRA | SINE-GORDON THEORY | LIGHT-CONE QUANTIZATION | K UP PHYSICS, PARTICLES & FIELDS | W-ALGEBRAS | HAMILTONIAN REDUCTION | EXACT S-MATRICES | MINIMAL MODELS | CONFORMAL FIELD-THEORIES | SUPER-LIOUVILLE THEORY | AFFINE TODA THEORIES | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

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