Super-biderivations on the 2$d$ supersymmetric Galilean conformal algebra

2020 ◽  
Vol 27 (3) ◽  
pp. 431-447
Author(s):  
Hanhan Xu ◽  
Jiancai Sun
Keyword(s):  
Conformal Algebra

TOPOLOGICAL CONFORMAL ALGEBRA IN POLYAKOV’S LIGHT-CONE GAUGE GRAVITY

1992 ◽  
Vol 07 (35) ◽  
pp. 3291-3302 ◽  
Author(s):  
KIYONORI YAMADA
Keyword(s):  
Light Cone ◽  
Matter Field ◽  
Conformal Algebra ◽  
Two Dimensional ◽  
Topological Algebras ◽  
Light Cone Gauge ◽  
Brst Cohomology ◽  
Dimensional Gravity ◽  
Conformal Gauge ◽  
Gauge Gravity

We show that the two-dimensional gravity coupled to c=−2 matter field in Polyakov’s light-cone gauge has a twisted N=2 superconformal algebra. We also show that the BRST cohomology in the light-cone gauge actually coincides with that in the conformal gauge. Based on this observation the relations between the topological algebras are discussed.

scholarly journals Lie Super-bialgebra Structures on the Centerless Twisted N=2 Super-conformal Algebra

2011 ◽  
Vol 18 (03) ◽  
pp. 361-372 ◽  
Author(s):  
Huanxia Fa ◽  
Junbo Li ◽  
Bin Xin
Keyword(s):  
Conformal Algebra

In this paper, Lie super-bialgebra structures on the centerless twisted N=2 super-conformal algebra [Formula: see text] are considered, which are proved to be coboundary triangular.

scholarly journals Loop Schrödinger–Virasoro Lie conformal algebra

2016 ◽  
Vol 27 (06) ◽  
pp. 1650057 ◽  
Author(s):  
Haibo Chen ◽  
Jianzhi Han ◽  
Yucai Su ◽  
Ying Xu
Keyword(s):  
Lie Algebra ◽  
Conformal Algebra ◽  
Cohomology Groups ◽  
Conformal Algebras ◽  
Rank One ◽  
Intermediate Series

In this paper, we introduce two kinds of Lie conformal algebras, associated with the loop Schrödinger–Virasoro Lie algebra and the extended loop Schrödinger–Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank one and [Formula: see text]-graded free intermediate series modules over these two conformal algebras are also classified in the present paper.

scholarly journals The N = 4 quantum conformal algebra

1999 ◽  
Vol 541 (1-2) ◽  
pp. 369-385 ◽  
Author(s):  
Damiano Anselmi
Keyword(s):  
Conformal Algebra

New quantum deformations ofD=4 conformal algebra

1996 ◽  
Vol 46 (2-3) ◽  
pp. 217-225
Author(s):  
Jerzy Lukierski ◽  
Pierre Minnaert ◽  
Marek Mozrzymas
Keyword(s):  
Conformal Algebra ◽  
Quantum Deformations

scholarly journals Intertwining operator in thermal CFTd

2017 ◽  
Vol 32 (02n03) ◽  
pp. 1750006 ◽  
Author(s):  
Satoshi Ohya
Keyword(s):  
Momentum Space ◽  
Recurrence Relations ◽  
Algebraic Approach ◽  
Space Time ◽  
Conformal Algebra ◽  
Linear Recurrence ◽  
Intertwining Operators ◽  
Intertwining Operator ◽  
Primary Operator ◽  
S Matrix

It has long been known that two-point functions of conformal field theory (CFT) are nothing but the integral kernels of intertwining operators for two equivalent representations of conformal algebra. Such intertwining operators are known to fulfill some operator identities — the intertwining relations — in the representation space of conformal algebra. Meanwhile, it has been known that the S-matrix operator in scattering theory is nothing but the intertwining operator between the Hilbert spaces of in- and out-particles. Inspired by this algebraic resemblance, in this paper, we develop a simple Lie-algebraic approach to momentum-space two-point functions of thermal CFT living on the hyperbolic space–time [Formula: see text] by exploiting the idea of Kerimov’s intertwining operator approach to exact S-matrix. We show that in thermal CFT on [Formula: see text], the intertwining relations reduce to certain linear recurrence relations for two-point functions in the complex momentum space. By solving these recurrence relations, we obtain the momentum-space representations of advanced and retarded two-point functions as well as positive- and negative-frequency two-point Wightman functions for a scalar primary operator in arbitrary space–time dimension [Formula: see text].

scholarly journals Vertex Coalgebras, Coassociator, and Cocommutator Formulas

Algebra ◽  
2014 ◽  
Vol 2014 ◽  
pp. 1-17
Author(s):  
Florencia Orosz Hunziker ◽  
José I. Liberati
Keyword(s):  
Differential Algebra ◽  
Conformal Algebra ◽  
Definition Of

Based on the definition of vertex coalgebra introduced by Hubbard, 2009, we prove that this notion can be reformulated using coskew symmetry, coassociator and cocommutator formulas without restrictions on the grading. We also prove that a vertex coalgebra can be defined in terms of dual versions of the axioms of Lie conformal algebra and differential algebra.

scholarly journals Galilean conformal algebra in two dimensions and cosmological topologically massive gravity

2010 ◽  
Vol 838 (3) ◽  
pp. 358-370 ◽  
Author(s):  
Kyosuke Hotta ◽  
Takahiro Kubota ◽  
Takahiro Nishinaka
Keyword(s):  
Massive Gravity ◽  
Two Dimensions ◽  
Conformal Algebra ◽  
Topologically Massive Gravity
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