A note on supersymmetric chiral bosons

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.

Download Full-text

Quantization procedure for non-Abelian chiral bosons

Physical Review D ◽

10.1103/physrevd.40.491 ◽

1989 ◽

Vol 40 (2) ◽

pp. 491-494 ◽

Cited By ~ 2

Author(s):

E. Abdalla ◽

M. C. B. Abdalla

Keyword(s):

Quantization Procedure ◽

Chiral Bosons

Download Full-text

A NOTE ON 2D CHIRAL GRAVITY AND CHIRAL BOSONS

Modern Physics Letters A ◽

10.1142/s0217732392003207 ◽

1992 ◽

Vol 07 (40) ◽

pp. 3777-3782 ◽

Cited By ~ 4

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.

Download Full-text

ON THE PATH INTEGRAL QUANTIZATION OF CHIRAL BOSONS

International Journal of Modern Physics A ◽

10.1142/s0217751x89000091 ◽

1989 ◽

Vol 04 (01) ◽

pp. 249-255 ◽

Cited By ~ 2

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.

Download Full-text