scholarly journals THREE-POINT FUNCTIONS OF NON-UNITARY MINIMAL MATTER COUPLED TO GRAVITY

1993 ◽  
Vol 08 (03) ◽  
pp. 197-207 ◽  
Author(s):  
DEBASHIS GHOSHAL ◽  
SWAPNA MAHAPATRA
Keyword(s):  
Matrix Model ◽  
Correlation Functions ◽  
The Other ◽  
Tree Level ◽  
Minimal Models ◽  
Continuum Approach ◽  
Point Correlation ◽  
Local Operators ◽  
The One ◽  
The Continuum

The tree-level three-point correlation functions of local operators in the general (p, q) minimal models coupled to gravity are calculated in the continuum approach. On one hand, the result agrees with the unitary series (q=p+1); and on the other hand, for p=2, q=2k−1, we find agreement with the one-matrix model results.

scholarly journals CORRELATION FUNCTIONS OF (2k−1, 2) MINIMAL MATTER COUPLED TO 2D QUANTUM GRAVITY

1993 ◽  
Vol 08 (04) ◽  
pp. 327-334 ◽  
Author(s):  
SHUN-ICHI YAMAGUCHI
Keyword(s):  
Quantum Gravity ◽  
Critical Point ◽  
Matrix Model ◽  
Correlation Functions ◽  
Conformal Weight ◽  
Primary Field ◽  
Field Approach ◽  
Point Correlation ◽  
The One ◽  
The Continuum

We compute N-point correlation functions of non-unitary (2k−1, 2) minimal matter coupled to 2D quantum gravity on a sphere using the continuum Liouville field approach. A gravitational dressing of the matter primary field with the minimum conformal weight is used as the cosmological operator. Our results are in agreement with the correlation functions of the one-matrix model at the kth critical point.

EXCITATIONS AND INTERACTIONS IN d=1 STRING THEORY

1991 ◽  
Vol 06 (11) ◽  
pp. 1961-1984 ◽  
Author(s):  
ANIRVAN M. SENGUPTA ◽  
SPENTA R. WADIA
Keyword(s):  
Matrix Model ◽  
Periodic Wave ◽  
Density Fluctuations ◽  
Dirac Fermion ◽  
Unitary Matrix ◽  
Additional Parameter ◽  
Continuum Approach ◽  
The Matrix ◽  
The One ◽  
The Continuum

We discuss the singlet sector of the d=1 matrix model in terms of a Dirac fermion formalism. The leading order two- and three-point functions of the density fluctuations are obtained by this method. This allows us to construct the effective action to that order and hence provide the equation of motion. This equation is compared with the one obtained from the continuum approach. We also compare continuum results for correlation functions with the matrix model ones and discuss the nature of gravitational dressing for this regularization. Finally, we address the question of boundary conditions within the framework of the d=1 unitary matrix model, considered as a regularized version of the Hermitian model, and study the implications of a generalized action with an additional parameter (analogous to the θ parameter) which give rise to quasi-periodic wave functions.

scholarly journals SUPERCONFORMAL 2D MINIMAL MODELS AND AN UNUSUAL COSET CONSTRUCTION

1993 ◽  
Vol 08 (09) ◽  
pp. 851-859 ◽  
Author(s):  
M. YU. LASHKEVICH
Keyword(s):  
Correlation Functions ◽  
Minimal Models ◽  
Coset Construction ◽  
Point Correlation

We consider a coset construction of minimal models. We define it rigorously and prove that it gives superconformal minimal models. This construction allows us to build all primary fields of superconformal models and to calculate their tree-point correlation functions.

Cinematography’s Blind Spots: Artistic Exploitations of the Film Frame

2021 ◽  
pp. 136-149
Author(s):  
Gabriele Jutz
Keyword(s):  
Motion Picture ◽  
Blind Spot ◽  
The Other ◽  
French Film ◽  
Single Frame ◽  
Material State ◽  
Ideological Perspective ◽  
The One ◽  
Blind Spots ◽  
The Continuum

This chapter discusses filmic and photographic works that focus on isolated film frames, whether extracted from the continuum of a film strip, as in Slide Movie (Gebhard Sengmüller, 2007) and Und ich blieb stehen. (Thames, London) (Susanne Miggitsch, 2017), or captured photographically from a book or a viewing table, as in Motion Picture (La Sortie des Ouvriers de l’Usine Lumière à Lyon) (Peter Tscherkassky, 1984/2008) and Précis de decomposition (Éric Rondepierre, 1993–1999). Usually rendered invisible during projection, a single frame represents the ‘blind spot’ of cinematography. An explicitly ideological perspective was offered in 1971 by French film critic Sylvie Pierre Ulmann, who distinguished between the use of extracted frames (or ‘photograms’) and idealized still photographs produced on a film set. These ‘parasitic photographs’ no longer bear traces of the material state of a given film copy; they look flawless and perfectly meet ideological requirements of ‘legibility’ and ‘beauty’. The examples presented here bypass ideological claims, because, on the one hand, their dissected frames belong to the same order as the film they are taken from, and, on the other, they result in varying forms of ‘illegibility’.

BRAID GROUP REPRESENTATIONS ASSOCIATED WITH ${\mathfrak{sl}}_m$

1996 ◽  
Vol 05 (05) ◽  
pp. 637-660 ◽  
Author(s):  
RUTH J. LAWRENCE
Keyword(s):  
Braid Group ◽  
Correlation Functions ◽  
Jones Polynomial ◽  
Hecke Algebra ◽  
Young Diagrams ◽  
Group Representations ◽  
Point Correlation ◽  
The One ◽  
Elementary Topology

It has been seen elsewhere how elementary topology may be used to construct representations of the Iwahori-Hecke algebra associated with two-row Young diagrams, and how these constructions are related to the production of the same representations from the monodromy of n-point correlation functions in the work of Tsuchiya & Kanie and to the construction of the one-variable Jones polynomial. This paper investigates the extension of these results to representations associated with arbitrary multi-row Young diagrams and a functorial description of the two-variable Jones polynomial of links in S3.

CORRELATION FUNCTIONS AND OPE IN TWO-DIMENSIONAL QUANTUM GRAVITY

1991 ◽  
Vol 06 (25) ◽  
pp. 2271-2279 ◽  
Author(s):  
YOSHIAKI TANII ◽  
SHUN-ICHI YAMAGUCHI
Keyword(s):  
Correlation Functions ◽  
Field Theories ◽  
Operator Product ◽  
Theory Approach ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Dimensional Gravity ◽  
Point Correlation ◽  
Liouville Field Theory ◽  
The Continuum

We compute a class of four-point correlation functions of physical operators on a sphere in the unitary minimal conformal field theories coupled to 2-dimensional gravity. We use the continuum Liouville field theory approach and they are obtained as integrals over the moduli (positions of the operators). We examine the integrands near the boundaries of the moduli space and compare their singular behaviors with the operator product expansion.

The two-point correlation function of the one-dimensional matrix model

1991 ◽  
Vol 350 (3) ◽  
pp. 621-634 ◽  
Author(s):  
David J. Gross ◽  
Igor R. Klebanov ◽  
Michael J. Newman
Keyword(s):  
Correlation Function ◽  
Matrix Model ◽  
One Dimensional ◽  
Dimensional Matrix ◽  
Point Correlation ◽  
Point Correlation Function ◽  
The One

scholarly journals $$ \frac{\mathrm{SL}\left(2,\mathrm{\mathbb{R}}\right)\times \mathrm{U}(1)}{\mathrm{U}(1)} $$ CFT, NS5+F1 system and single trace $$ T\overline{T} $$

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Soumangsu Chakraborty
Keyword(s):  
String Theory ◽  
Sigma Model ◽  
Brst Quantization ◽  
Weakly Coupled ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Local Operators ◽  
The One ◽  
Single Trace ◽  
Spacetime Theory

Abstract In this paper we prove the equivalence among (i) the weakly coupled worldsheet string theory described by the coset sigma model $$ \frac{\mathrm{SL}{\left(2,\mathrm{\mathbb{R}}\right)}_k\times \mathrm{U}(1)}{\mathrm{U}(1)} $$ SL 2 ℝ k × U 1 U 1 × S3 × T4 with SL(2, ℝ) WZW level k ≥ 2, (ii) the full near horizon theory of the NS5 branes with k NS5 branes wrapping T4 × S1, p » 1 F1 strings wrapping S1 and n units of momentum along the S1 and (iii) the single trace $$ T\overline{T} $$ T T ¯ deformation of string theory in AdS3 × S3 × T4. As a check we compute the spectrum (continuous) of the spacetime theory by performing BRST quantization of the coset description of the worldsheet theory and show that it matches exactly with the one derived in the case of single trace $$ T\overline{T} $$ T T ¯ deformed string theory in AdS3. Secondly, we compute the two-point correlation function of local operators of the spacetime theory using the worldsheet coset approach and reproduce the same two-point function from the supergravity approach.

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