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Observables of boundary RG flows from string field theory

Jaroslav Scheinpflug, Martin Schnabl, Jakub Vošmera

Abstract

We present simple explicit formulae for the change of the $g$-function, boundary state, boundary spectrum and structure constants between the endpoints of short boundary RG flows at next-to-leading order. The formulae are derived using open string field theory and tested on integrable RG flows between conformal boundary states in unitary Virasoro minimal models.

Observables of boundary RG flows from string field theory

Abstract

We present simple explicit formulae for the change of the -function, boundary state, boundary spectrum and structure constants between the endpoints of short boundary RG flows at next-to-leading order. The formulae are derived using open string field theory and tested on integrable RG flows between conformal boundary states in unitary Virasoro minimal models.

Paper Structure

This paper contains 38 sections, 349 equations.

Table of Contents

  1. Introduction and summary
  2. RG flow as tachyon condensation
  3. Witten's cubic open string field theory
  4. Perturbative solution for short RG flows
  5. Boundary degeneracy from on-shell action
  6. Anomalous dimensions from shifted BRST cohomology
  7. Boundary state from the Ellwood invariant
  8. Structure constants from on-shell string amplitudes
  9. Normalizing the IR cohomology
  10. Boundary 3-point coupling
  11. Bulk-boundary coupling
  12. Example: $(1,3)$-flows in diagonal minimal models with boundary
  13. Perturbed $g$-function
  14. Anomalous dimensions
  15. Boundary-state coefficients
  16. ...and 23 more sections