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Gravitational instantons from closed superstring field theory

Ivo Sachs, Xianghang Zhang

Abstract

We test exact marginality of the deformation describing the resolution of a $\mathbb{Z}_2$ orbifold by analyzing the closed superstring equations of motion to third order in the size, including $α'$ corrections. We find that the third order correction is unobstructed for all deformation moduli. We are also able to reproduce the Eguchi-Hanson gravitational instanton up to the second order in the field theory limit with a suitable choice of moduli.

Gravitational instantons from closed superstring field theory

Abstract

We test exact marginality of the deformation describing the resolution of a orbifold by analyzing the closed superstring equations of motion to third order in the size, including corrections. We find that the third order correction is unobstructed for all deformation moduli. We are also able to reproduce the Eguchi-Hanson gravitational instanton up to the second order in the field theory limit with a suitable choice of moduli.
Paper Structure (18 sections, 104 equations)

This paper contains 18 sections, 104 equations.

Table of Contents

  1. Introduction
  2. Superstring theory on an orbifold
  3. The untwisted sector
  4. The twisted sector
  5. Classical closed superstring field theory in the NS-NS sector
  6. SFT action
  7. Perturbative approach to exact marginality
  8. Resolving the orbifold singularity
  9. Second order obstruction
  10. Gravitational instanton from the string field
  11. Third order obstruction
  12. Conclusion and outlook
  13. Obstruction in bosonic theory
  14. Hyperkähler geometry and ALE instanton
  15. Hyperkähler Manifolds
  16. ...and 3 more sections