Manifestly Supersymmetric RG Flows
Matthias R. Gaberdiel, Stefan Hohenegger
TL;DR
This paper develops a manifestly N=1 supersymmetric scheme for RG equations in 2D supersymmetric boundary field theories, analyzing brane obstructions and marginal stability lines from a world-sheet perspective.
Contribution
It introduces a next-to-leading order RG equation scheme that preserves manifest N=1 supersymmetry in boundary theories.
Findings
RG equations determined to next-to-leading order in a supersymmetric scheme
Analysis of brane obstructions and marginal stability lines from world-sheet perspective
Enhanced understanding of boundary effects in supersymmetric RG flows
Abstract
Renormalisation group (RG) equations in two-dimensional N=1 supersymmetric field theories with boundary are studied. It is explained how a manifestly N=1 supersymmetric scheme can be chosen, and within this scheme the RG equations are determined to next-to-leading order. We also use these results to revisit the question of how brane obstructions and lines of marginal stability appear from a world-sheet perspective.
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