We show that the super D-string action is canonically equivalent to the type IIB superstring action with a world-sheet gauge field. Canonical transformation to the type IIB theory with dynamical tension is also constructed to establish the SL(2, Z) covariance beyond the semi-classical approximations.
Two-dimensional supergravity theory is quantized as an anomalous gauge theory. In the Batalin-Radkin (BF) formalism, the anomaly-capceling super-Liouville fields are introduced to identify the original second-class constrained system with a gauge-fixed version of a first-class system. The BFV-BRST quantization applies to formulate the theory in the most general class of gauges. A local effective action constructed in the configuration space contains two super-liouville actions; one is a noncovariant but local functional written only in terms of two-dimensional supergravity fields, and the other contains the super-Liouville fields canceling the super-Weyl anomaly. Auxiliary fields for the Liouville &the gravity supermultiplets are introduced to make the BRST algebra close off-shell. Inchi~ion of them turns out to be essentially important especially in the super-light-cone gauge fixing, where the supercurvature equations (@g++ = 85x++ = 0) are obtained as a result of BRST invariance of the theory. Our approach reveals the origin of the OSp(l,Z) current algebra symmetry in a transparent manner.PACS number(s): 11.25.Hf, 0485.+e, 11.25.Pm
BFV-BRST QUANTIZATIdNOF TWO-DIMENSIONAL SUPERGRAVITY
Based on the extended BRST formalism of Batalin, Fradkin and Vilkovisky, we perform a general algebraic analysis of the BRST anomalies in superstring theory of Neveu-Schwarz-Ramond. Consistency conditions on the BRST anomalies are completely solved. The genuine super-Virasoro anomaly is identified with the essentially unique solution to the consistency condition without any reference to a particular gauge for the 2D supergravity fields. In a configuration space where metric and gravitino fields are properly constructed, general form of the super-Weyl anomaly is obtained from the super-Virasoro anomaly as its descendant. We give a novel local action of super-Liouville type, which plays a role of Wess-ZuminoWitten term shifting the super-Virasoro anomaly into the super-Weyl anomaly. These results reveal a hierarchial relationship in the BRST anomalies.
We discuss the renormalizability of quantum gravity near two dimensions based on the results obtained by a computation of the BRST-antibracket cohomology in the space of local functionals of the fields and antifields. We justify the assumption on the general structure of the counterterms which have been used in the original proof of renormalizability of the quantum gravity near two dimensions.TIT/HEP-364
We attempt to construct new superstring actions with a D-plet of Majorana fermions ψ B A , where B is the D-dimensional space-time index and A is the two-dimensional spinor index, by deforming the Schild action. As a result, we propose three kinds of actions: the first is invariant under N = 1 (the worldsheet) supersymmetry transformation and the area-preserving diffeomorphism. The second contains the Yukawa type interaction. The last possesses some nonlocality because of bilinear terms of ψ BA . The reasons why completing a Schild type superstring action with ψ B A is difficult are finally discussed.
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