κ symmetric OSp(2|2) WZNW model

The implications of gauging the Wess-Zumino-Novikov-Witten (WZNW) model using the Gauss decomposition of the group elements are explored. We show that, contrary to the standard gauging of WZNW models, this gauging is carried out by minimally coupling the gauge fields. We find that this gauging, in the case of gauging and Abelian vector subgroup, differs from the standard one by terms proportional to the field strength of the gauge fields. We prove that gauging an Abelian vector subgroup does not have a nonlinear sigma model interpretation. This is because the target-space metric resulting from the integration over the gauge fields is degenerate. We demonstrate, however, that this kind of gauging has a natural interpretation in terms of Wakimoto variables.

Download Full-text

CANONICAL APPROACH TO 2D SUPERSYMMETRIC WZNW MODEL COUPLED TO SUPERGRAVITY

Modern Physics Letters A ◽

10.1142/s0217732302008496 ◽

2002 ◽

Vol 17 (29) ◽

pp. 1923-1936 ◽

Cited By ~ 2

Author(s):

OLIVERA MIŠKOVIĆ ◽

BRANISLAV SAZDOVIĆ

Keyword(s):

Energy Momentum Tensor ◽

Momentum Tensor ◽

Moody Algebra ◽

Gauge Transformations ◽

Local Gauge ◽

Gauge Symmetries ◽

Wznw Model ◽

Canonical Approach ◽

Explicit Expressions

Starting from the known representation of the Kac–Moody algebra in terms of the coordinates and momenta, we extend it to the representation of the super Kac–Moody and super Virasoro algebras. Then we use general canonical method to construct an action invariant under local gauge symmetries, where components of the super energy–momentum tensor L± and G± play the role of the diffeomorphisms and supersymmetry generators respectively. We obtain covariant extension of WZNW theory with respect to local supersymmetry as well as explicit expressions for gauge transformations.

Download Full-text

More about the (2,0) supersymmetric WZNW model in (2,0) superspace

Physics Letters B ◽

10.1016/0370-2693(91)90100-5 ◽

1991 ◽

Vol 271 (3-4) ◽

pp. 355-360 ◽

Cited By ~ 2

Author(s):

S.James Gates ◽

Sergay V. Ketov

Keyword(s):

Wznw Model

Download Full-text

A Conformal Field Theory of Extrinsic Geometry of 2-d Surfaces

Zeitschrift für Naturforschung A ◽

10.1515/zna-1997-1-223 ◽

1997 ◽

Vol 52 (1-2) ◽

pp. 97-104

Author(s):

K.S. Viswanathan ◽

R. Parthasarathy

Keyword(s):

Extrinsic Curvature ◽

Universality Class ◽

Gravity Theory ◽

World Sheet ◽

Light Cone Gauge ◽

Conformal Field ◽

Extrinsic Geometry ◽

Wznw Model ◽

The Mean ◽

Conserved Currents

Abstract In the description of the extrinsic geometry of the string world sheet regarded as a conformal immersion of a 2-d surface in R3 it was previously shown that, restricting to surfaces with h √ g = 1, where h is the mean scalar curvature and g is the determinant of the induced metric on the surface, leads to Virasaro symmetry. An explicit form of the effective action on such surfaces is constructed in this article, which is the extrinsic curvature analog of the WZNW action. This action turns our to be the gauge invariant combination of the actions encountered in 2-d intrinsic gravity theory in light-cone gauge and the geometric action appearing in the quantization of the Virasaro group. This action, besides exhibiting Virasaro symmetry in z-sector, has SL (2, C) conserved currents in the z̅-sector. This allows us to quantize this theory in the z̅-sector along the lines of the WZNW model. The quantum theory on h √ g = 1 surfaces in R3 is shown to be in the same universality class as the intrinsic 2-d gravity theory.

Download Full-text

Logarithmic operators in the WZNW model

Nuclear Physics B ◽

10.1016/s0550-3213(00)00751-3 ◽

2001 ◽

Vol 597 (1-3) ◽

pp. 633-651 ◽

Cited By ~ 21

Author(s):

A. Nichols ◽

Sanjay

Keyword(s):

Wznw Model

Download Full-text

AN W ALGEBRAS AND CLASSIFICATION

Modern Physics Letters A ◽

10.1142/s0217732392002822 ◽

1992 ◽

Vol 07 (36) ◽

pp. 3419-3423

Author(s):

LIU CHAO ◽

BOYU HOU

Keyword(s):

Lie Algebra ◽

Regular Element ◽

Necessary Conditions ◽

Sufficient Conditions ◽

Necessary And Sufficient Conditions ◽

Arbitrary Degree ◽

Wznw Model ◽

Necessary And Sufficient

The necessary and sufficient conditions for the existence of a regular element of arbitrary degree under arbitrary integral gradation of the Lie algebra g is presented. Such elements, while chosen as constraints in WZNW model, give rise to a W-algebra. It is then found that there might be some isomorphic relations between different W-algebras. The necessary conditions for such isomorphisms to appear are also given. Up to the A4 cases these conditions are checked to be sufficient.

Download Full-text