scholarly journals LIGHT CONE SUPERSTRINGS IN ADS SPACE

2001 ◽  
Vol 16 (05) ◽  
pp. 900-909 ◽  
Author(s):  
A. A. TSEYTLIN
Keyword(s):  
Phase Space ◽  
Light Cone ◽  
Lorentz Invariance ◽  
Flat Space ◽  
Light Cone Gauge ◽  
Conformal Gauge ◽  
Kappa Symmetry ◽  
Gauge Conditions

We discuss light-cone gauge description of type IIB Green-Schwarz superstring in AdS5× S5 with a hope to make progress towards understanding spectrum of this theory. As in flat space, fixing light-cone gauge consists of two steps: (i) fixing kappa symmetry in such a way that the fermionic part of the action does not depend on x-; (ii) fixing 2-d reparametrizations by x+=τ and a condition on 2-d metric. In curved AdS space the latter cannot be the standard conformal gauge and breaks manifest 2-d Lorentz invariance. It is natural, therefore, to work in phase-space framework, imposing the GGRT light-cone gauge conditions x+=τ, P+= const. We obtain the resulting light-cone superstring Hamiltonian.

scholarly journals LIGHT-CONE GAUGE HAMILTONIAN FOR AdS4 × ℂℙ3 SUPERSTRING

2010 ◽  
Vol 25 (15) ◽  
pp. 1251-1265 ◽  
Author(s):  
D. V. UVAROV
Keyword(s):  
Phase Space ◽  
Light Cone ◽  
Flat Space ◽  
Quadratic Approximation ◽  
Light Cone Gauge ◽  
Space Formulation ◽  
Physical Variables

We develop the phase-space formulation for the Type IIA superstring on the AdS4 × ℂℙ3 background in the κ-symmetry light-cone gauge for which the light-like directions are taken from the D = 3 Minkowski boundary of AdS4. After fixing bosonic light-cone gauge, the superstring Hamiltonian is expressed as a function of the transverse physical variables and in the quadratic approximation corresponds to the light-cone gauge-fixed IIA superstring in flat space.

TOPOLOGICAL CONFORMAL ALGEBRA IN POLYAKOV’S LIGHT-CONE GAUGE GRAVITY

1992 ◽  
Vol 07 (35) ◽  
pp. 3291-3302 ◽  
Author(s):  
KIYONORI YAMADA
Keyword(s):  
Light Cone ◽  
Matter Field ◽  
Conformal Algebra ◽  
Two Dimensional ◽  
Topological Algebras ◽  
Light Cone Gauge ◽  
Brst Cohomology ◽  
Dimensional Gravity ◽  
Conformal Gauge ◽  
Gauge Gravity

We show that the two-dimensional gravity coupled to c=−2 matter field in Polyakov’s light-cone gauge has a twisted N=2 superconformal algebra. We also show that the BRST cohomology in the light-cone gauge actually coincides with that in the conformal gauge. Based on this observation the relations between the topological algebras are discussed.

ON 2D (SUPER) GRAVITY IN THE LIGHT-CONE GAUGE

1989 ◽  
Vol 04 (01) ◽  
pp. 55-60 ◽  
Author(s):  
J. GRUNDBERG ◽  
R. NAKAYAMA
Keyword(s):  
Light Cone ◽  
2D Gravity ◽  
Light Cone Gauge ◽  
Conformal Gauge ◽  
Gauge Formulation

We derive the light-cone gauge formulation of 2D gravity recently discussed by Polyakov in a way which relates it to the conformal gauge. This formulation is extended to (1, 1) supergravity.

scholarly journals EXACT SOLUTIONS TO THE TWO-DIMENSIONAL BF AND YANG–MILLS THEORIES IN THE LIGHT-CONE GAUGE

2002 ◽  
Vol 17 (11) ◽  
pp. 1491-1502 ◽  
Author(s):  
MITSUO ABE ◽  
NOBORU NAKANISHI
Keyword(s):  
Exact Solution ◽  
Quantum Gravity ◽  
Light Cone ◽  
Lagrangian Density ◽  
Critical Dimension ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Yang Mills ◽  
Bf Theory ◽  
Conformal Gauge

It is shown that the BRS (= Becchi–Rouet–Stora)-formulated two-dimensional BF theory in the light-cone gauge (coupled with chiral Dirac fields) is solved very easily in the Heisenberg picture. The structure of the exact solution is very similar to that of the BRS-formulated two-dimensional quantum gravity in the conformal gauge. In particular, the BRS Noether charge has anomaly. Based on this fact, a criticism is made on the reasoning of Kato and Ogawa, who derived the critical dimension D=26 of string theory on the basis of the anomaly of the BRS Noether charge. By adding the [Formula: see text] term to the BF-theory Lagrangian density, the exact solution to the two-dimensional Yang–Mills theory is also obtained.

scholarly journals A NOTE ON 2D CHIRAL GRAVITY AND CHIRAL BOSONS

1992 ◽  
Vol 07 (40) ◽  
pp. 3777-3782 ◽  
Author(s):  
FIORENZO BASTIANELLI
Keyword(s):  
Effective Action ◽  
Light Cone ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Conformal Gauge ◽  
Chiral Bosons

Quantization of two-dimensional chiral matter coupled to gravity induces an effective action for the zweibein field which is both Weyl and Lorentz anomalous. Recently, the quantization of this induced action has been analyzed in the light-cone gauge as well as in the conformal gauge. An apparent mismatch between the results obtained in the two gauges is analyzed and resolved by properly treating the Lorentz field as a chiral boson.

SEMICLASSICAL TWO-DIMENSIONAL GRAVITY IN LIGHT-CONE GAUGE

1989 ◽  
Vol 04 (05) ◽  
pp. 419-425 ◽  
Author(s):  
R. FLOREANINI
Keyword(s):  
Light Cone ◽  
Einstein Equations ◽  
Two Dimensional ◽  
Light Cone Gauge ◽  
Dimensional Gravity ◽  
Conformal Gauge

Semiclassical Einstein equations for two-dimensional gravity are investigated in lightcone gauge and their group of invariance is discussed. One finds differences with respect to the corresponding results in conformal gauge.

scholarly journals QUANTUM DILATON GRAVITY IN THE LIGHT-CONE GAUGE

1993 ◽  
Vol 08 (08) ◽  
pp. 697-710 ◽  
Author(s):  
X. SHEN
Keyword(s):  
Black Hole ◽  
Light Cone ◽  
Black Hole Physics ◽  
Two Dimensional ◽  
Dilaton Gravity ◽  
Light Cone Gauge ◽  
Conformal Gauge ◽  
Matter Fields ◽  
Black Hole Solutions ◽  
New Framework

Recently, models of two-dimensional dilaton gravity have been shown to admit classical black hole solutions that exhibit Hawking radiation at the semiclassical level. These classical and semiclassical analyzes have been performed in conformal gauge. We show in this paper that a similar analysis in the light-cone gauge leads to the same results. Moreover, quantization of matter fields in light-cone gauge can be naturally extended to include quantizing the metric field à la KPZ. We argue that this may provide a new framework to address many issues associated to black hole physics.

scholarly journals Superfield approach to interacting N = 2 massive and massless supermultiplets in 3d flat space

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
R. R. Metsaev
Keyword(s):  
Light Cone ◽  
Three Dimensional ◽  
Flat Space ◽  
Arbitrary Spin ◽  
Massless Scalar ◽  
Light Cone Gauge ◽  
First Derivative ◽  
Integer Spin ◽  
Half Integer

Abstract Massive arbitrary spin supermultiplets and massless (scalar and spin one-half) supermultiplets of the N = 2 Poincaré superalgebra in three-dimensional flat space are considered. Both the integer spin and half-integer spin supermultiplets are studied. For such massive and massless supermultiplets, a formulation in terms of light-cone gauge unconstrained superfields defined in a momentum superspace is developed. For the supermultiplets under consideration a superspace first derivative representation for all cubic interaction vertices is obtained. A superspace representation for dynamical generators of the N = 2 Poincaré superalgebra is also found.

QUANTIZATION OF THE 2d EFFECTIVE GRAVITY IN THE GEOMETRICAL FORMULATION

1992 ◽  
Vol 07 (23) ◽  
pp. 5761-5779 ◽  
Author(s):  
SHOGO AOYAMA
Keyword(s):  
Light Cone ◽  
The Other ◽  
Quantum Level ◽  
Light Cone Gauge ◽  
Effective Gravity ◽  
Conformal Gauge ◽  
Geometrical Formulation ◽  
Gauge Formulation

There exist various formulations to discuss the 2d effective gravity: (i) light-cone gauge formulation; (ii) geometrical formulation; (iii) formulation by the constrained WZWN model; and (iv) conformal gauge formulation. In the formulations other than the last one, quantization of the 2d effective gravity is not complete in the sense that either the central charges of both sectors are not known, or one of them is known but not the other. We will provide a thorough argument on quantization of the 2d effective gravity in the formulation (ii). The argument will allow us to complete the quantization in the formulation (iii), and establish the relations among the formulations (ii)-(iv) at the quantum level.

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