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Supersymmetric non-Abelian DBI equations from an open pure spinor superstring

Ryota Fujii1, Sota Hanazawa2, Hiraki Kanehisa1, and Makoto Sakaguchi1,*

  • 1Department of Physics, Ibaraki University, Mito 310-8512, Japan
  • 2Tsuchiura Nihon University High School, Tsuchiura 300-0826, Japan

  • *makoto.sakaguchi.phys@vc.ibaraki.ac.jp
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Phys. Rev. D 108, 046002 – Published 7 August, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.046002

Abstract

The Becchi-Rouet-Stora-Tyutin (BRST) invariance of the open pure spinor superstring is examined in the presence of background superfields on a Dp-brane. We note that the background superfields introduced in this paper depend on boundary fermions. The BRST invariance leads to supersymmetric Dirac-Born-Infeld (DBI) equations for background superfields depending on boundary fermions as well as boundary conditions on spacetime coordinates. After quantizing boundary fermions, background superfields are promoted to non-Abelian ones. As a result, we obtain the supersymmetric non-Abelian DBI equations from the supersymmetric DBI equations depending on boundary fermions. It is shown that these non-Abelian DBI equations reduce to the super-Yang-Mills equations in the limit α′→0. We also show the nilpotency of the BRST transformation of boundary fermions.

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Phys. Rev. D 108, 046002– Published 7 August, 2023
  • Received 18 April 2023
  • Accepted 17 July 2023
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