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Negative Weight Modular Forms and Black Hole Entropy: Logarithmic Corrections

Posted on January 14, 2021 by Editor JournalGazett

We present a method of finding logarithmic corrections, up to an arbitrary order, of different quantities, such as black hole entropy in extreme CFT, or the entropy of p-branes compactified on a Kaluza-Klein space-time, by way of an elementary observation on the equivalent formulation of a certain asymptoticity in terms of a Bessel equation. In the more general mathematical context of negative weight modular forms, we indicate how some of the known work of physicists can be interpreted. A few minor mistakes are corrected in the literature. A good description of the paper is given in the concluding remarks in section 5.

Author (s) Details

Floyd. L. Williams
Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA01003, United States.

View Book :- https://bp.bookpi.org/index.php/bpi/catalog/book/371

  • black hole
  • Dedekind eta function
  • Eisenstein series
  • extremal conformal field theory.
  • Kloosterman sums
  • Modular Forms
  • p-brane entropy
  • Riemann zeta function
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