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Conformal Theory of M2, D3, M5 and `D1+D5' Branes

P. Claus, R. Kallosh, J. Kumar, P. K. Townsend, A. Van Proeyen

Abstract

The bosonic actions for M2, D3 and M5 branes in their own d-dimensional near-horizon background are given in a manifestly SO(p+1,2) x SO(d-p-1) invariant form (p=2,3,5). These symmetries result from a breakdown of ISO(d,2) (with d=10 for D3 and d=11 for M2 and M5) symmetry by the Wess-Zumino term and constraints. The new brane actions, reduce after gauge-fixing and solving constraints to (p+1) dimensional interacting field theories with a non-linearly realized SO(p+1,2) conformal invariance. We also present an interacting two-dimensional conformal field theory on a D-string in the near-horizon geometry of a D1+D5 configuration.

Conformal Theory of M2, D3, M5 and `D1+D5' Branes

Abstract

The bosonic actions for M2, D3 and M5 branes in their own d-dimensional near-horizon background are given in a manifestly SO(p+1,2) x SO(d-p-1) invariant form (p=2,3,5). These symmetries result from a breakdown of ISO(d,2) (with d=10 for D3 and d=11 for M2 and M5) symmetry by the Wess-Zumino term and constraints. The new brane actions, reduce after gauge-fixing and solving constraints to (p+1) dimensional interacting field theories with a non-linearly realized SO(p+1,2) conformal invariance. We also present an interacting two-dimensional conformal field theory on a D-string in the near-horizon geometry of a D1+D5 configuration.

Paper Structure

This paper contains 12 sections, 98 equations, 2 figures, 1 table.

Table of Contents

  1. Introduction
  2. Conformal invariance 'on the brane'
  3. World-volume action
  4. Symmetries and gauge fixing
  5. M2, D3, M5 and D1+D5 conformal field theories
  6. M2 brane
  7. D3 brane
  8. M5 brane
  9. Discussion
  10. The brane at the end of the universe
  11. Near-horizon supersymmetry of D1+D5
  12. Small velocity expansion

Figures (2)

  • Figure 1: Carter Penrose diagram with global structure in parametisation $(\tau,r)$. Each point is a $p$-sphere. The shaded region is $adS_{p+2}$.
  • Figure 2: Carter Penrose diagram with global structure in horosperical coordinates. The shaded region is covered by horospherical coordinates for $\phi>0$.