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Related papers: Extra States in C<1 String Theory

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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…

High Energy Physics - Theory · Physics 2007-05-23 S. Govindarajan

In this article, we investigate the supersymmetric c=1 model of superstring theory and demonstrate how the spectrum of states is expanded and new symmetries of the theory are generated by the existence of ghost cohomologies. As a result, we…

General Physics · Physics 2023-03-21 Omar El Deeb

We show that there is (p-1)(p'-1) dimensional semi-relative BRST cohomology at each non-positive ghost number in the (p,p') minimal conformal field theory coupled to two dimensional quantum gravity. These closed string states are related to…

High Energy Physics - Theory · Physics 2009-10-07 Shamit Kachru

We study the BRST cohomology for $SL(2,R)/U(1)$ coset model, which describes an exact string black hole solution. It is shown that the physical spectrum could contain not only the extra discrete states corresponding to those in $c=1$…

High Energy Physics - Theory · Physics 2009-10-22 Katsumi Itoh , Hiroshi Kunitomo , Nobuyoshi Ohta , Makoto Sakaguchi

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 non-zero ghost…

High Energy Physics - Theory · Physics 2010-11-01 S. Govindarajan , T. Jayaraman , V. John , P. Majumdar

We review and develop the formalism of ghost number cohomologies, outlined in our previous work, to classify the quantum states of M-theory. We apply this formalism to the matrix formulation of M-theory to obtain NSR superstring action from…

High Energy Physics - Theory · Physics 2009-10-30 Dimitri Polyakov

We illustrate a method for computing the number of physical states of open string theory at the stable tachyonic vacuum in level truncation approximation. The method is based on the analysis of the gauge-fixed open string field theory…

High Energy Physics - Theory · Physics 2015-06-26 Stefano Giusto , Camillo Imbimbo

We determine explicitly all structure constants of the whole chiral BRST cohomology ring in $D=2$ string theory including both the discrete states and tachyon states. This is made possible by establishing several identities for Schur…

High Energy Physics - Theory · Physics 2009-10-22 Yong-Shi Wu , Chuan-Jie Zhu

We compute the BRST cohomology of the holomorphic part of the N=2 string at arbitrary ghost and picture number. We confirm the expectation that the relative cohomology at non-zero momentum consists of a single massless state in each…

High Energy Physics - Theory · Physics 2009-10-30 Klaus Junemann , Olaf Lechtenfeld

The full cohomology ring of the Lian-Zuckerman type operators (states) in ${\hat c_M}<1$ Neveu-Schwarz-Ramond (NSR) string theory is argued to be generated by three elements $x$, $y$ and $w$ in analogy with the corresponding results in the…

High Energy Physics - Theory · Physics 2009-10-28 Sudhakar Panda , Shibaji Roy

In this work, the DDF-like approach to the pure spinor cohomology is extended to the next ghost number level, the so called antifields. In a direct (supersymmetric) parallel to the bosonic string, some properties of the ghost number two…

High Energy Physics - Theory · Physics 2015-12-22 Renann Lipinski Jusinskas

The BRST operator cohomology of $N=2$ $2d$ supergravity coupled to matter is presented. Descent equations for primary superfields of the matter sector are derived. We find one copy of the cohomology at ghost number one, two independent…

High Energy Physics - Theory · Physics 2009-10-22 Amit Giveon , Martin Rocek

We study the BRST cohomology for two-dimensional supergravity coupled to $\hat c \leq 1$ superconformal matter in the conformal gauge. The super-Liouville and superconformal matters are represented by free scalar fields $\phi^L$ and…

High Energy Physics - Theory · Physics 2009-10-22 Katsumi Itoh , Nobuyoshi Ohta

The physical states on the free field Fock space of the ${SL(2,R)\over SL(2,R)$ model at any level are computed. Using a similarity transformation on $Q_{BRST}$, the cohomology of the latter is mapped into a direct sum of simpler…

High Energy Physics - Theory · Physics 2019-08-15 O. Aharony , O. Ganor , J. Sonnenschein , S. Yankielowicz

We show that the BRST cohomology of the massless sector of the Type IIB superstring on AdS5xS5 can be described as the relative cohomology of an infinite-dimensional Lie superalgebra. We explain how the vertex operators of ghost number 1,…

High Energy Physics - Theory · Physics 2013-08-26 Andrei Mikhailov

We obtain the correct cohomology at any ghost number for the open and closed covariant superstring, quantized by an approach which we recently developed. We define physical states by the usual condition of BRST invariance and a new…

High Energy Physics - Theory · Physics 2014-11-18 P. A. Grassi , G. Policastro , P. van Nieuwenhuizen

(Talk presented at the 1992 ICTP summer workshop in high energy physics and cosmology) The BRST cohomology ring for $(p,q)$ models coupled to gravity is discussed. In addition to the generators of the ghost number zero ring, the existence…

High Energy Physics - Theory · Physics 2007-05-23 M. H. Sarmadi

We consider the theory of bosonic closed strings on the flat background R(25,1). We show how the BRST complex can be extended to a complex where the string center of mass operator, x^mu_0, is well defined. We investigate the cohomology of…

High Energy Physics - Theory · Physics 2014-11-18 Alexander Astashkevich , Alexander Belopolsky

The BRST cohomology of 1+1 strings in a free light-cone gauge contains only the two-dimensional tachyon, and excludes all excited states of both matter and ghosts, including the special states that arise in the continuum conformal gauge…

High Energy Physics - Theory · Physics 2009-10-22 Eric Smith

All solvable two-dimensional quantum gravity models have non-trivial BRST cohomology with vanishing ghost number. These states form a ring and all the other states in the theory fall into modules of this ring. The relations in the ring and…

High Energy Physics - Theory · Physics 2009-09-15 D. Kutasov , E. Martinec , N. Seiberg
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