Testing Effective String Models of Black Holes with Fixed Scalars

Abstract

We solve the problem of mixing between the fixed scalar and metric fluctuations. First, we derive the decoupled fixed scalar equation for the four-dimensional black hole with two different charges. We proceed to the five-dimensional black hole with different electric (1-brane) and magnetic (5-brane) charges, and derive two decoupled equations satisfied by appropriate mixtures of the original fixed scalar fields. The resulting greybody factors are proportional to those that follow from coupling to dimension (2,2) operators on the effective string. In general, however, the string action also contains couplings to chiral operators of dimension (1,3) and (3,1), which cause disagreements with the semiclassical absorption cross-sections. Implications of this for the effective string models are discussed.

13 pages, harvmac; minor typos corrected

References in corpus (3)

• Black Hole Greybody Factors and Absorption of Scalars by Effective Strings
• D-branes and Near Extremal Black Holes at Low Energies
• Evolution of near extremal black holes

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