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Heterotic string field theory with cyclic L-infinity structure

2019/02/28 by Hiroshi Kunitomo, Tatsuya Sugimoto
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1093/ptep/ptz051

published as Prog Theor Exp Phys (2019) · 31 pages, 1figure, section for four point amplitudes is inserted; v3 English has been improved; v4 English is improved, Eq(5.16b) is corrected (published as erratum), Eq (A.19) is added

arxiv created 2019/11/12 · arxiv updated 2019/12/06

Abstract

We construct a complete heterotic string field theory that includes both the Neveu-Schwarz and Ramond sectors. We give a construction of general string products, which realizes a cyclic L-infinity structure and thus provides with a gauge-invariant action in the homotopy algebraic formulation. Through a map of the string fields, we also give the Wess-Zumino-Witten-like action in the large Hilbert space, and verify its gauge invariance independently.

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