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Twisting BFSS & IKKT

Fabian Hahner, Natalie M. Paquette

Abstract

In this note we initiate the study of ``twisted holography'' for the dualities involving the BFSS matrix quantum mechanics and the IKKT matrix model in their $N \rightarrow \infty$ limits. We identify the admissible twists of each model, compute their cohomology in the BV-BRST formalism, and identify them -- in the planar limit and in perturbation theory around the trivial background -- with corresponding twists of IIA and IIB string theories, respectively. The twisted gravitational duals make manifest certain infinite dimensional symmetry algebras. In the BFSS example, the dual IIA supergravity twists are also obtained as certain zero mode truncations of the minimal (1/16-BPS) and maximal (1/4-BPS) twists of eleven-dimensional supergravity.

Twisting BFSS & IKKT

Abstract

In this note we initiate the study of ``twisted holography'' for the dualities involving the BFSS matrix quantum mechanics and the IKKT matrix model in their limits. We identify the admissible twists of each model, compute their cohomology in the BV-BRST formalism, and identify them -- in the planar limit and in perturbation theory around the trivial background -- with corresponding twists of IIA and IIB string theories, respectively. The twisted gravitational duals make manifest certain infinite dimensional symmetry algebras. In the BFSS example, the dual IIA supergravity twists are also obtained as certain zero mode truncations of the minimal (1/16-BPS) and maximal (1/4-BPS) twists of eleven-dimensional supergravity.
Paper Structure (26 sections, 76 equations, 2 tables)

This paper contains 26 sections, 76 equations, 2 tables.

Table of Contents

  1. Introduction
  2. Acknowledgments
  3. Twisted holography for the IKKT matrix model
  4. Review of the IKKT matrix model
  5. Relation to IIB string theory
  6. Twisting supercharges
  7. The minimal twist of the IKKT matrix model
  8. The minimal twist as a dimensional reduction
  9. Direct computation of the minimal twist
  10. Twisted holography for minimally twisted IKKT
  11. Non-minimally twisted IKKT
  12. Direct computation of the non-minimal twist
  13. The non-minimal twist as a further twist
  14. Comparison to twisted type IIB supergravity
  15. Twisted holography for BFSS matrix quantum mechanics
  16. ...and 11 more sections

Theorems & Definitions (4)

  • Remark 2.1
  • Remark 2.2
  • Remark 3.1
  • Remark 3.2