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Gravity as Gauge Theory Squared: A Ghost Story.

A Anastasiou1, L Borsten2, M J Duff3,4,5

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This study derives gravity-two-form-dilaton system equations using Yang-Mills theories and Becchi-Rouet-Stora-Tyutin (BRST) transformations. Ghost fields aid in separating gravitons and dilatons, ensuring BRST and anti-BRST charge anticommutation.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • String Theory

Background:

  • The Becchi-Rouet-Stora-Tyutin (BRST) formalism is crucial for quantizing gauge theories.
  • Understanding gravity-dilaton systems is important for cosmology and fundamental physics.

Purpose of the Study:

  • To derive the equations of motion for a gravity-two-form-dilaton system.
  • To formulate these dynamics within a BRST covariant framework.
  • To explore the relationship between Yang-Mills theories and gravity.

Main Methods:

  • Derivation from the product of two Yang-Mills theories.
  • Application of BRST transformations and covariant quantization.
  • Inclusion of ghost fields for particle separation.
  • Analysis to linear approximation.

Main Results:

  • The gravity-two-form-dilaton system is derived in a BRST covariant form.
  • Ghost fields enable the separation of the graviton and dilaton.
  • The gravitational gauge fixing term is uniquely determined by the Yang-Mills factors.
  • The resulting Lagrangian exhibits anti-BRST invariance, with anticommuting BRST and anti-BRST charges.

Conclusions:

  • The formalism provides a consistent BRST covariant description of the gravity-two-form-dilaton system.
  • This approach offers insights into the interplay between gauge theories and gravity.
  • The unique determination of the gauge fixing term highlights the predictive power of the method.