Topological String on OSP(1|2)/U(1)
Gaston Giribet, Yasuaki Hikida, Tadashi Takayanagi
TL;DR
This paper establishes an equivalence between topological string theory on the OSP(1|2)/U(1) supercoset and the superstring with N=1 supersymmetry, using free field representations and correlation function mappings.
Contribution
It introduces a novel correspondence between topological strings on a supercoset and N=1 superstring theory, supported by spectrum analysis and amplitude comparisons.
Findings
Spectrum matches between the models.
Correlation functions are successfully mapped.
Agreement in scattering amplitude calculations.
Abstract
We propose an equivalence between topological string on OSP(1|2)/U(1) and \hat{c} \leq 1 superstring with N=1 world-sheet supersymmetry. We examine this by employing a free field representation of OSP(1|2) WZNW model and find an agreement on the spectrum. We also analyze this proposal at the level of scattering amplitudes by applying a map between correlation functions of OSP(1|2) WZNW model and those of N=1 Liouville theory.
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