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Stringy Corrections to Heterotic SU(3)-Geometry.

Jock McOrist1, Sebastien Picard2

  • 1Department of Mathematics, School of Science and Technology, University of New England, Armidale, 2351 Australia.

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Summary
This summary is machine-generated.

This study examines alpha-prime (α') corrections to supersymmetry algebra in heterotic compactifications. The analysis reveals that the tangent bundle instanton condition does not persist beyond the first order of α'.

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Area of Science:

  • String Theory
  • High Energy Physics
  • Mathematical Physics

Background:

  • Supersymmetry algebra is crucial for understanding string theory compactifications.
  • Heterotic compactifications on SU(3) manifolds present complex geometric challenges.
  • Previous studies have explored supersymmetry in string theory, but higher-order corrections require further investigation.

Purpose of the Study:

  • To analyze alpha-prime (α ') corrections to the Bergshoeff-de Roo supersymmetry algebra.
  • To investigate these corrections in the context of heterotic compactifications on SU(3) manifolds.
  • To derive and analyze the resulting equations of motion and geometric properties.

Main Methods:

  • Analysis of supersymmetry constraints derived from complex and conformally balanced geometry.
  • Derivation of equations of motion, including the graviton equation.
  • Examination of the curvature of the tangent bundle connection and its components.

Main Results:

  • Alpha-prime (α ') corrections introduce an extraneous term in the graviton equation, resolvable via gauge fixing.
  • The tangent bundle connection's curvature acquires a non-zero (0, 2) component.
  • The tangent bundle instanton condition is shown to break down beyond the first order in α '.

Conclusions:

  • The study clarifies the behavior of supersymmetry algebra under α ' corrections in specific compactifications.
  • The findings indicate limitations in the persistence of geometric conditions like instanton equations at higher orders.
  • This research contributes to a deeper understanding of string theory compactifications and their associated mathematical structures.