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BRST operators for W algebras
, 802
"... The study of quantum Lie algebras motivates a use of noncanonical ghosts and antighosts for nonlinear algebras, like Walgebras. This leads, for the W3 and W (2) 3 algebras, to the BRST operator having the conventional cubic form. Unité Mixte de Recherche (UMR 6207) du CNRS et des Universités Aix ..."
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The study of quantum Lie algebras motivates a use of noncanonical ghosts and antighosts for nonlinear algebras, like Walgebras. This leads, for the W3 and W (2) 3 algebras, to the BRST operator having the conventional cubic form. Unité Mixte de Recherche (UMR 6207) du CNRS et des Universités
On the BRST Operator of WStrings
, 1993
"... We discuss the conditions under which the BRST operator of a Wstring can be written as the sum of two operators that are separately nilpotent and anticommute with each other. We illustrate our results with the example of the noncritical W3string. Furthermore, we apply our results to make a conjec ..."
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We discuss the conditions under which the BRST operator of a Wstring can be written as the sum of two operators that are separately nilpotent and anticommute with each other. We illustrate our results with the example of the noncritical W3string. Furthermore, we apply our results to make a
THE BRST OPERATOR FOR THE LARGE N = 4 SUPERCONFORMAL ALGEBRA
, 1994
"... We review the detailed structure of the large N = 4 superconformal algebra, and construct its BRST operator which constitutes the main object for analyzing N = 4 strings. We then derive the general condition for the nilpotency of the BRST operator and show that there exists a line of critical N = 4 ..."
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We review the detailed structure of the large N = 4 superconformal algebra, and construct its BRST operator which constitutes the main object for analyzing N = 4 strings. We then derive the general condition for the nilpotency of the BRST operator and show that there exists a line of critical N = 4
An alternative BRST operator for topological LandauGinzburg models
, 1995
"... We propose a new BRST operator for the Btwist of N = 2 LandauGinzburg (LG) models. It solves the problem of the fractional ghost numbers of Vafa’s old BRST operator and shows how the model is obtained by gauge fixing a zero action. An essential role is played by the antiBRST operator, which is gi ..."
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We propose a new BRST operator for the Btwist of N = 2 LandauGinzburg (LG) models. It solves the problem of the fractional ghost numbers of Vafa’s old BRST operator and shows how the model is obtained by gauge fixing a zero action. An essential role is played by the antiBRST operator, which
BRST operator for superconformal algebras with quadratic nonlinearity
, 1994
"... We construct the quantum BRST operators for a large class of superconformal and quasi–superconformal algebras with quadratic nonlinearity. The only free parameter in these algebras is the level of the (super) KacMoody sector. The nilpotency of the quantum BRST operator imposes a condition on the le ..."
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Cited by 2 (0 self)
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We construct the quantum BRST operators for a large class of superconformal and quasi–superconformal algebras with quadratic nonlinearity. The only free parameter in these algebras is the level of the (super) KacMoody sector. The nilpotency of the quantum BRST operator imposes a condition
Quantum BRST operators in extended BRST anti BRST formalism
, 2008
"... The quantum BRST anti BRST operators are explicitly derived and the consequences related to correlation functions are investigated. The connection with the standard formalism and the loopwise expansions for quantum operators and anomalies in Sp(2) approach are analyzed. PACS: 11.10.Ef, 11.15.q Keyw ..."
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The quantum BRST anti BRST operators are explicitly derived and the consequences related to correlation functions are investigated. The connection with the standard formalism and the loopwise expansions for quantum operators and anomalies in Sp(2) approach are analyzed. PACS: 11.10.Ef, 11.15.q
A BRST Operator for noncritical WStrings
, 1992
"... We construct the BRST operator for noncritical W3strings and discuss the tachyonlike spectrum. For Npunctured spheres with N ≤ 5 we briefly describe a formal definition of the integral over W3moduli space. CERNTH.6582/92 July 19921. Introduction. During the last decade we have learnt much abou ..."
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Cited by 2 (0 self)
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We construct the BRST operator for noncritical W3strings and discuss the tachyonlike spectrum. For Npunctured spheres with N ≤ 5 we briefly describe a formal definition of the integral over W3moduli space. CERNTH.6582/92 July 19921. Introduction. During the last decade we have learnt much
BRST operator quantization of generally covariant gauge systems
, 1997
"... The BRST generator is realized as a Hermitian nilpotent operator for a finitedimensional gauge system featuring a quadratic superHamiltonian and linear supermomentum constraints. As a result, the emerging ordering for the Hamiltonian constraint is not trivial, because the potential must enter the ..."
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The BRST generator is realized as a Hermitian nilpotent operator for a finitedimensional gauge system featuring a quadratic superHamiltonian and linear supermomentum constraints. As a result, the emerging ordering for the Hamiltonian constraint is not trivial, because the potential must enter
BRST OPERATOR FOR QUANTUM LIE ALGEBRAS AND DIFFERENTIAL CALCULUS ON QUANTUM GROUPS
, 2001
"... For a Hopf algebra A, we define the structures of differential complexes on two dual exterior Hopf algebras: 1) an exterior extension of A and 2) an exterior extension of the dual algebra A ∗. The Heisenberg double of these two exterior Hopf algebras defines the differential algebra for the Cartan d ..."
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differential calculus on A. The first differential complex is an analog of the de Rham complex. In the situation when A ∗ is a universal enveloping of a Lie (super)algebra the second complex coincides with the standard complex. The differential is realized as an (anti)commutator with a BRST operator Q. A
Results 1  10
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7,514