ANOMALIES AND EFFECTIVE ACTIONS IN TWO-DIMENSIONAL SUPERSPACE

We derive a chirally split expression for the superdiffeomorphism anomaly in the two-dimensional superplane. The effective action from which this anomaly was obtained is related to the WZ-action associated with the superdiffeomorphism group. Furthermore, we show that the anomalous Ward identities generated by supercoordinate transformations encompass the wellknown OPE’s for the stress-energy supertensor. In conclusion, the extension to generic super Riemann surfaces is discussed.

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N=2superconformal algebra, Ward identities and differential equations for correlators on super-Riemann surfaces

Physical Review D ◽

10.1103/physrevd.42.3433 ◽

1990 ◽

Vol 42 (10) ◽

pp. 3433-3438 ◽

Cited By ~ 7

Author(s):

Kai Wen Xu ◽

Zhi Yong Zhao

Keyword(s):

Differential Equations ◽

Riemann Surfaces ◽

Ward Identities ◽

Super Riemann Surfaces

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Generating Functional in CFT and Effective Action for Two-Dimensional Quantum Gravity on Higher Genus Riemann Surfaces

Communications in Mathematical Physics ◽

10.1007/s002200050156 ◽

1997 ◽

Vol 188 (1) ◽

pp. 29-67 ◽

Cited By ~ 10

Author(s):

Ettore Aldrovandi ◽

Leon A. Takhtajan

Keyword(s):

Quantum Gravity ◽

Effective Action ◽

Riemann Surfaces ◽

Two Dimensional ◽

Generating Functional ◽

Higher Genus

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Superinvolutions on super-Riemann surfaces and the supergeometry of type-I superstrings

Physics Letters B ◽

10.1016/0370-2693(90)90016-y ◽

1990 ◽

Vol 248 (1-2) ◽

pp. 67-72 ◽

Cited By ~ 2

Author(s):

Willem de Beer ◽

André van Tonder ◽

João P. Rodrigues

Keyword(s):

Riemann Surfaces ◽

Type I ◽

Super Riemann Surfaces

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Super Riemann Surfaces and Reductions of the Structure Group

Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional - Lecture Notes in Mathematics ◽

10.1007/978-3-030-13758-8_9 ◽

2019 ◽

pp. 139-168

Author(s):

Enno Keßler

Keyword(s):

Riemann Surfaces ◽

Structure Group ◽

Super Riemann Surfaces

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Connections on Super Riemann Surfaces

Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional - Lecture Notes in Mathematics ◽

10.1007/978-3-030-13758-8_10 ◽

2019 ◽

pp. 169-183

Author(s):

Enno Keßler

Keyword(s):

Riemann Surfaces ◽

Super Riemann Surfaces

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Duality and integrability of two-dimensional string effective action

Physics Letters B ◽

10.1016/s0370-2693(02)01578-2 ◽

2002 ◽

Vol 533 (1-2) ◽

pp. 146-152 ◽

Cited By ~ 16

Author(s):

Ashok Das ◽

J. Maharana ◽

A. Melikyan

Keyword(s):

Effective Action ◽

Two Dimensional

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Relating Weyl and diffeomorphism anomalies on super Riemann surfaces

Classical and Quantum Gravity ◽

10.1088/0264-9381/10/1/005 ◽

1993 ◽

Vol 10 (1) ◽

pp. 1-18 ◽

Cited By ~ 6

Author(s):

Jean-P Ader ◽

F Gieres ◽

Y Noirot

Keyword(s):

Riemann Surfaces ◽

Super Riemann Surfaces

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A COMPACT BOSON COUPLED TO TWO-DIMENSIONAL GRAVITY

International Journal of Modern Physics A ◽

10.1142/s0217751x91001337 ◽

1991 ◽

Vol 06 (15) ◽

pp. 2743-2754 ◽

Cited By ~ 22

Author(s):

NORISUKE SAKAI ◽

YOSHIAKI TANII

Keyword(s):

Field Theory ◽

Partition Function ◽

Quantum Gravity ◽

Matrix Models ◽

Riemann Surfaces ◽

Partition Functions ◽

Two Dimensional ◽

Dimensional Gravity ◽

The Continuum ◽

Continuum Field

The radius dependence of partition functions is explicitly evaluated in the continuum field theory of a compactified boson, interacting with two-dimensional quantum gravity (noncritical string) on Riemann surfaces for the first few genera. The partition function for the torus is found to be a sum of terms proportional to R and 1/R. This is in agreement with the result of a discretized version (matrix models), but is quite different from the critical string. The supersymmetric case is also explicitly evaluated.

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