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Algebraic Structures In Closed Superstring Field Theory, Homotopy Transfer And Effective Actions
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abstract
A consistent action for heterotic and type II superstring field theory was recently proposed by Sen. We give an algebraic formulation of this action in terms of certain twisted $L_\infty$-algebra. We further show that Sen's Wilsonian effective superstring field action can be obtained using homotopy transfer and the effective theory also possesses the algebraic structure of a twisted $L_\infty$-algebra.
Forward citations
Cited by 2 Pith papers
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Type II RR string fields and exotic diffeomorphisms
The paper computes explicit gauge transformations and interactions for all Ramond-Ramond fields in type II string field theory, revealing diffeomorphisms that are not standard Lie derivatives.
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Gauge algebra and diffeomorphisms in string field theory
To leading order in derivatives, the superstring gauge algebra of diffeomorphisms is independent of the off-shell vertex choice, whereas bosonic strings retain off-shell dependence for non-symmetric vertices.
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