Chiral bosons coupled to Liouville gravity in the Faddeev-Jackiw formalism

1992 ◽  
Vol 46 (12) ◽  
pp. 5590-5597 ◽  
Author(s):  
N. Banerjee ◽  
D. Chatterjee ◽  
Subir Ghosh
Keyword(s):  
Liouville Gravity ◽  
Chiral Bosons

Chiral bosons coupled to supergravity

1989 ◽  
Vol 217 (1-2) ◽  
pp. 98-102 ◽  
Author(s):  
Fiorenzo Bastianelli ◽  
Peter Van Nieuwenhuizen
Keyword(s):  
Chiral Bosons

scholarly journals Liouville quantum gravity — holography, JT and matrices

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Thomas G. Mertens ◽  
Gustavo J. Turiaci
Keyword(s):  
String Theory ◽  
Generating Functions ◽  
Preliminary Evidence ◽  
Quantum Deformation ◽  
Dilaton Gravity ◽  
Continuum Approach ◽  
Genus Zero ◽  
Explicit Formulas ◽  
Liouville Gravity ◽  
The Continuum

Abstract We study two-dimensional Liouville gravity and minimal string theory on spaces with fixed length boundaries. We find explicit formulas describing the gravitational dressing of bulk and boundary correlators in the disk. Their structure has a striking resemblance with observables in 2d BF (plus a boundary term), associated to a quantum deformation of SL(2, ℝ), a connection we develop in some detail. For the case of the (2, p) minimal string theory, we compare and match the results from the continuum approach with a matrix model calculation, and verify that in the large p limit the correlators match with Jackiw-Teitelboim gravity. We consider multi-boundary amplitudes that we write in terms of gluing bulk one-point functions using a quantum deformation of the Weil-Petersson volumes and gluing measures. Generating functions for genus zero Weil-Petersson volumes are derived, taking the large p limit. Finally, we present preliminary evidence that the bulk theory can be interpreted as a 2d dilaton gravity model with a sinh Φ dilaton potential.

scholarly journals Variational tricomplex of a local gauge system, Lagrange structure and weak Poisson bracket

2015 ◽  
Vol 30 (25) ◽  
pp. 1550152 ◽  
Author(s):  
A. A. Sharapov
Keyword(s):  
Poisson Bracket ◽  
Poisson Structure ◽  
Symplectic Structure ◽  
Two Dimensions ◽  
Generating Functional ◽  
Local Gauge ◽  
Brst Charge ◽  
General Correspondence ◽  
Chiral Bosons ◽  
Gauge Systems

We introduce the concept of a variational tricomplex, which is applicable both to variational and nonvariational gauge systems. Assigning this tricomplex with an appropriate symplectic structure and a Cauchy foliation, we establish a general correspondence between the Lagrangian and Hamiltonian pictures of one and the same (not necessarily variational) dynamics. In practical terms, this correspondence allows one to construct the generating functional of a weak Poisson structure starting from that of a Lagrange structure. As a byproduct, a covariant procedure is proposed for deriving the classical BRST charge of the BFV formalism by a given BV master action. The general approach is illustrated by the examples of Maxwell’s electrodynamics and chiral bosons in two dimensions.

scholarly journals Quantization procedure for non-Abelian chiral bosons

1989 ◽  
Vol 40 (2) ◽  
pp. 491-494 ◽  
Author(s):  
E. Abdalla ◽  
M. C. B. Abdalla
Keyword(s):  
Quantization Procedure ◽  
Chiral Bosons

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.

ON THE PATH INTEGRAL QUANTIZATION OF CHIRAL BOSONS

1989 ◽  
Vol 04 (01) ◽  
pp. 249-255 ◽  
Author(s):  
F. A. SCHAPOSNIK ◽  
J. E. SOLOMIN
Keyword(s):  
Path Integral ◽  
Degree Of Freedom ◽  
Lagrangian Formalism ◽  
Proper Treatment ◽  
Gauge Transformations ◽  
Path Integral Quantization ◽  
Gauge Degree ◽  
Chiral Bosons

We show that, in the covariant Lagrangian formalism, a proper treatment of the gauge degree of freedom in a model of chiral bosons proposed by Siegel uncovers the presence of a Jacobian (a "Wess-Zumino action"): the group of gauge transformations gets quantized and the anomaly is absorbed.

LIOUVILLE GRAVITY ON BORDERED SURFACES

1993 ◽  
Vol 08 (06) ◽  
pp. 1041-1057 ◽  
Author(s):  
ZBIGNIEW JASKÓLSKI
Keyword(s):  
Hausdorff Dimension ◽  
Boundary Conditions ◽  
Path Integral ◽  
Critical Exponents ◽  
Geometrical Interpretation ◽  
Liouville Gravity ◽  
Conformal Gauge ◽  
Functional Quantization

The functional quantization of the Liouville gravity on bordered surfaces in the conformal gauge is developed. It was shown that the geometrical interpretation of the Polyakov path integral as a sum over bordered surfaces uniquely determines the boundary conditions for the fields involved. The gravitational scaling dimensions of boundary and bulk operators and the critical exponents are derived. In particular the boundary Hausdorff dimension is calculated.

scholarly journals Chiral bosons through linear constraints

1992 ◽  
Vol 45 (10) ◽  
pp. R3329-R3331 ◽  
Author(s):  
H. O. Girotti ◽  
M. Gomes ◽  
V. O. Rivelles
Keyword(s):  
Linear Constraints ◽  
Chiral Bosons
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