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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

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

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 the couplings of discrete states that appear in the string theory embedded in two dimensions, and show that they are given by the structure constants of the group of area preserving diffeomorphisms. We propose an effective action…

High Energy Physics - Theory · Physics 2015-06-26 I. R. Klebanov , A. M. Polyakov

Remarks are given to the structure of physical states in 2D gravity coupled to $C\leq 1$ matter. The operator algebra of the discrete state operators is calculated for the theory with non-vanishing cosmological constant.

High Energy Physics - Theory · Physics 2011-04-15 Vl. S. Dotsenko

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

The two-dimensional (2-D) quantum gravity coupled to the conformal matter with $c=1$ is studied. We obtain all the three point couplings involving tachyons and/or discrete states via operator product expansion. We find that cocycle factors…

High Energy Physics - Theory · Physics 2008-02-03 Yoichiro Matsumura , Norisuke Sakai , Yoshiaki Tanii

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

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 employ a ghost model of interacting dark energy to obtain the equation of state \omega for ghost energy density in an FRW universe in complex quintessence theory. We reconstruct the potential and study the dynamics of the scalar field…

High Energy Physics - Theory · Physics 2022-01-04 Yang Liu

The BRST cohomology group in the space of local functionals of the fields for the two-dimensional conformally invariant gravity is calculated. All classical local actions (ghost number equal to zero) and all candidate anomalies are given…

High Energy Physics - Theory · Physics 2014-11-18 Paul A. Blaga , L. Tataru , Ion V. Vancea

We review the BRST analysis of the system of a (super)conformal matter coupled to 2D (super)gravity. The spectrum and its operator realization are reported. In particular, the operators associated with the states of nonzero ghost number are…

High Energy Physics - Theory · Physics 2008-11-26 Katsumi Itoh , Nobuyoshi Ohta

States obtained by projecting boundary states, associated with D-branes, to fixed mass-level and momentum generically define non-trivial cohomology classes. For on-shell states the cohomology is the standard one, but when the states are…

High Energy Physics - Theory · Physics 2009-10-30 S. Ramgoolam , L. Thorlacius

After having defined a 3-strings midpoint-inserted vertex for the bc system, we analyze the relation between gh=0 states (wedge states) and gh=3 midpoint duals. We find explicit and regular relations connecting the two objects. In the case…

High Energy Physics - Theory · Physics 2014-11-20 L. Bonora , C. Maccaferri , D. D. Tolla

Close to a saddle-node bifurcation, when two invariant solutions collide and disappear, the behavior of a dynamical system can closely resemble that of a solution which is no longer present at the chosen parameter value. For bifurcating…

Dynamical Systems · Mathematics 2025-08-26 Zheng Zheng , Pierre Beck , Tian Yang , Omid Ashtari , Jeremy P Parker , Tobias M Schneider

Two-dimensional string theory is known to contain the set of discrete states that are the SU(2) multiplets generated by the lowering operator of the SU(2) current algebra.Their structure constants are defined by the area preserving…

High Energy Physics - Theory · Physics 2008-11-26 Dimitri Polyakov

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 no-ghost theorem for Neveu-Schwarz string is directly proved in 0-picture. The one-to-one correspondence between physical states in 0-picture and those in the conventional (-1)-picture are confirmed. It is shown that a non-trivial…

High Energy Physics - Theory · Physics 2012-02-01 Maiko Kohriki , Hiroshi Kunitomo , Masaki Murata

The quantum theory of a free particle on a portion of two-dimensional Euclidean space bounded by a circle and subject to non-local boundary conditions gives rise to bulk and surface states. Starting from this well known property, a…

High Energy Physics - Theory · Physics 2007-05-23 Giampiero Esposito

Starting from string field theory for 2d gravity coupled to c=1 matter we analyze the off-shell tree amplitudes of discrete states. The amplitudes exhibit the pole structure and we use the off-shell calculus to extract the residues and…

High Energy Physics - Theory · Physics 2015-06-26 I. Ya. Aref'eva , P. B. Medvedev , A. P. Zubarev
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