The Ramond Sector of Heterotic String Field Theory

Abstract

We attempt to construct the full equations of motion for the Neveu-Schwarz and the Ramond sectors of the heterotic string field theory. Although they are non-polynomial also in the Ramond string field $\Psi$, we can construct them order by order in $\Psi$. Their explicit forms with the gauge transformations are given up to the next-to-next-to-leading order in $\Psi$. We also determine a subset of the terms to all orders. By introducing an auxiliary Ramond string field $\Xi$, we construct a covariant action supplemented with a constraint, which should be imposed on the equations of motion. We propose the Feynman rules and show how they reproduce well-known physical four-point amplitudes with external fermions.

33 pages, 5 figures, uses PTPTeX.cls, v2:forms of general terms in EOM and the action are modified, v3:some explanations are improved, one extra appendix is added, published version, v4:an error is corrected,v5;typos in appA, v6:typos

References in corpus (1)

• Open superstring field theory I: gauge fixing, ghost structure, and propagator

Cited by in corpus (8)

• Closed Superstring Field Theory and its Applications
• String Field Theory -- A Modern Introduction
• Complete action for open superstring field theory
• Nonlinear gauge invariance and WZW-like action for NS-NS superstring field theory
• Symmetries and Feynman Rules for Ramond Sector in Open Superstring Field Theory
• Type II superstring field theory with cyclic L-infinity structure
• Symmetries and Feynman Rules for Ramond Sector in Heterotic String Field Theory
• First-Order Equations of Motion for Heterotic String Field Theory