TY - JOUR

T1 - Covariant currents in N = 2 super-Liouville theory

AU - Gomis, Joaquim

AU - Suzuki, Hiroshi

N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.

PY - 1993/3/22

Y1 - 1993/3/22

N2 - Based on a path-integral prescription for anomaly calculation, we analyze an effective theory of the two-dimensional N = 2 supergravity, i.e. N = 2 super-Liouville theory. We calculate the anomalies associated with the BRST supercurrent and the ghost-number supercurrent. From those expressions of anomalies, we construct covariant BRST and ghost-number supercurrents in the effective theory. We then show that the (super-)coordinate BRST current algebra forms a superfield extension of the topological conformal algebra for an arbitrary type of conformal matter or, in terms of the string theory, for an arbitrary number of space-time dimensions. This fact is in great contrast with N = 0 and N = 1 (super-)Liouville theory, where the topological algebra singles out a particular value of dimensions. Our observation suggests a topological nature of the two-dimensional N = 2 supergravity as a quantum theory.

AB - Based on a path-integral prescription for anomaly calculation, we analyze an effective theory of the two-dimensional N = 2 supergravity, i.e. N = 2 super-Liouville theory. We calculate the anomalies associated with the BRST supercurrent and the ghost-number supercurrent. From those expressions of anomalies, we construct covariant BRST and ghost-number supercurrents in the effective theory. We then show that the (super-)coordinate BRST current algebra forms a superfield extension of the topological conformal algebra for an arbitrary type of conformal matter or, in terms of the string theory, for an arbitrary number of space-time dimensions. This fact is in great contrast with N = 0 and N = 1 (super-)Liouville theory, where the topological algebra singles out a particular value of dimensions. Our observation suggests a topological nature of the two-dimensional N = 2 supergravity as a quantum theory.

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U2 - 10.1016/0550-3213(93)90241-G

DO - 10.1016/0550-3213(93)90241-G

M3 - Article

AN - SCOPUS:13544255177

VL - 393

SP - 126

EP - 148

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 1-2

ER -