Abstract
Analytic expressions for the two dimensional \( \mathcal{N}=1 \) SLFT blocks in the light semi-classical limit are found for both Neveu-Schwarz and Ramond sectors. The calculations are done by using the duality between SU(2) \( \mathcal{N}=2 \) super-symmetric gauge theories living on R 4 /Z 2 space and two dimensional \( \mathcal{N}=1 \) super Liouville field theory. It is shown that in the light asymptotic limit only a restricted set of Young diagrams contributes to the partition function. This enables us to sum up the instanton series explicitly and find closed expressions for the corresponding \( \mathcal{N}=1 \) SLFT four point blocks in the light asymptotic limit.
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ArXiv ePrint: 1706.07474
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Poghosyan, H. The light asymptotic limit of conformal blocks in \( \mathcal{N}=1 \) super Liouville field theory. J. High Energ. Phys. 2017, 62 (2017). https://doi.org/10.1007/JHEP09(2017)062
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DOI: https://doi.org/10.1007/JHEP09(2017)062