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Edge Modes on Stringy Horizons.

Atish Dabholkar1, Eleanor Harris1, Upamanyu Moitra2

  • 1The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy.

Physical Review Letters
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Summary
This summary is machine-generated.

Quantum fields in de Sitter spacetime have horizon edge modes contributing to their partition function. This extends to string theory, yielding a finite, modular invariant result interpretable via state counting.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • String Theory

Background:

  • De Sitter spacetime and its static patch present unique boundary conditions for quantum fields.
  • Horizon degrees of freedom, or edge modes, are crucial for understanding quantum field theory in curved spacetimes.
  • String theory offers a framework to unify quantum mechanics and general relativity, potentially resolving divergences.

Purpose of the Study:

  • To investigate the contribution of quantum field edge modes to the partition function in de Sitter spacetime.
  • To extend these findings to string theory near a Minkowski-Rindler horizon.
  • To derive a modular invariant and ultraviolet finite partition function.

Main Methods:

  • Calculating the Euclidean partition function for quantum fields of arbitrary mass and spin.
  • Utilizing the Harish-Chandra character of the de Sitter group for edge mode contributions.
  • Applying the flat limit and summing over string fields.
  • Employing the Kronecker limit formula.

Main Results:

  • Identified edge mode contributions to the partition function in de Sitter spacetime.
  • Derived the partition function for edge modes in string theory near the Minkowski-Rindler horizon.
  • Obtained a modular invariant one-loop partition function.
  • The result generalizes known contributions to an infinite tower in string theory.

Conclusions:

  • The derived partition function is naturally ultraviolet finite.
  • The result supports a state-counting interpretation for quantum fields in string theory.
  • This work provides a generalized framework for understanding quantum field behavior at horizons.