Near Horizon Superspace
R. Kallosh, J. Rahmfeld, and A. Rajaraman

TL;DR
This paper develops a supergeometry framework for near horizon branes in supergravity, enabling the construction of superconformal theories and analyzing the Green-Schwarz action for type IIB strings on AdS_5 x S_5.
Contribution
It formulates the supergeometry of near horizon branes by solving supergravity constraints, facilitating new superconformal theory constructions.
Findings
Supergeometry of near horizon branes derived from supergravity constraints
Framework for constructing superconformal theories established
Analysis of Green-Schwarz action on AdS_5 x S_5 included
Abstract
The adS_{p+2} x S^{d-p-2} geometry of the near horizon branes is promoted to a supergeometry: the solution of the supergravity constraints for the vielbein, connection and form superfields are found. This supergeometry can be used for the construction of new superconformal theories. We also discuss the Green-Schwarz action for a type IIB string on adS_5 x S_5.
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