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Scalar Absorption and the Breaking of the World Volume Conformal Invariance

Steven S. Gubser, Akikazu Hashimoto, Igor R. Klebanov, Michael Krasnitz

Abstract

We investigate a version of fixed scalars for non-dilatonic branes which correspond to dilatations of the brane world-volume. We obtain a cross-section whose world-volume interpretation falls out naturally from an investigation of the breaking of conformal invariance by the irrelevant Born-Infeld corrections to Yang-Mills theory. From the same irrelevant world-volume operator we obtain the leading correction to the cross-sections of minimal scalars. This correction can be obtained in supergravity via an improved matching of inner and outer solutions to the minimal wave equation.

Scalar Absorption and the Breaking of the World Volume Conformal Invariance

Abstract

We investigate a version of fixed scalars for non-dilatonic branes which correspond to dilatations of the brane world-volume. We obtain a cross-section whose world-volume interpretation falls out naturally from an investigation of the breaking of conformal invariance by the irrelevant Born-Infeld corrections to Yang-Mills theory. From the same irrelevant world-volume operator we obtain the leading correction to the cross-sections of minimal scalars. This correction can be obtained in supergravity via an improved matching of inner and outer solutions to the minimal wave equation.

Paper Structure

This paper contains 8 sections, 105 equations, 2 figures.

Figures (2)

  • Figure 1: The circled crosses ($\otimes$) denote an insertion of ${\cal O}_\phi$.
  • Figure 2: The three loop contributions to the two point function.