Showing papers by "Suresh Govindarajan published in 1992"
TL;DR: In this article, the double cohomology of the string BRST and Felder BRST charges was used to study the Coulomb gas formalism and to find that states outside the primary conformal grid are related to the states of nonzero ghost number.
Abstract: We study c<1 matter coupled to gravity in the Coulomb gas formalism using the double cohomology of the string BRST and Felder BRST charges. We find that states outside the primary conformal grid are related to the states of nonzero ghost number by means of descent equations given by the double cohomology. Some aspects of the Virasoro structure of the Liouville-Fock space are studied. As a consequence, states of nonzero ghost number are easily constructed by “solving” these descent equations. This enables us to map ghost number conserving correlation functions involving nonzero ghost number states into those involving states outside the primary conformal grid.
7 citations
TL;DR: In this article, a supereld approach to the theory of (2, 0) worldsheet supergravity is presented, where the structure group is enlarged to Lorentz U(1) and the anomaly structure of this extended theory is studied.
7 citations
TL;DR: The chiral ring is a ring of polynomials in two variables modulo an equivalence relation of the form $x^p \simeq y^{p+1}$ for the (p + 1,p) model.
Abstract: We show how the double cohomology of the String and Felder BRST charges naturally leads to the ring structure of $c<1$ strings. The chiral ring is a ring of polynomials in two variables modulo an equivalence relation of the form $x^p \simeq y^{p+1}$ for the (p+1,p) model. We also study the states corresponding to the edges of the conformal grid whose inclusion is crucial for the closure of the ring. We introduce candidate operators that correspond to the observables of the matrix models. Their existence is motivated by the relation of one of the screening operators of the minimal model to the zero momentum dilaton.
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TL;DR: In this paper, the authors show how these states are related to states at ghost numbers zero (pure vertex operator states -- DK states) and ghost number one (ring elements) by means of descent equations.
Abstract: The BRST cohomology analysis of Lian and Zuckerman leads to physical states at all ghost number for $c<1$ matter coupled to Liouville gravity. We show how these states are related to states at ghost numbers zero(pure vertex operator states -- DK states) and ghost number one(ring elements) by means of descent equations. These descent equations follow from the double cohomology of the String BRST and Felder BRST operators. We briefly discuss how the ring elements allow one to determine all correlation functions on the sphere.