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New Fermionic Soft Theorems for Supergravity Amplitudes.

Wei-Ming Chen1, Yu-Tin Huang1,2, Congkao Wen3

  • 1Department of Physics and Astronomy, National Taiwan University, Taipei 10617, Taiwan, Republic of China.

Physical Review Letters
|July 25, 2015
PubMed
Summary
This summary is machine-generated.

This study extends universal double-soft behavior, previously seen in scalar theories, to fermions in 3 and 4 dimensions. These findings reveal new insights into supersymmetry algebras and supergravity theories.

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Area of Science:

  • High Energy Physics
  • Theoretical Physics
  • Quantum Field Theory

Background:

  • Soft limits of massless S-matrix elements reveal fundamental symmetries.
  • Double-soft limits of scalars in Goldstone boson theories expose coset structure.
  • Universal soft theorems are crucial for understanding quantum field theories.

Purpose of the Study:

  • To investigate universal double-soft behavior for fermions in 3 and 4 dimensions.
  • To demonstrate that this behavior extends beyond scalar particles.
  • To explore implications for supersymmetry algebras and supergravity theories.

Main Methods:

  • Analysis of the Akulov-Volkov theory.
  • Calculation of double-soft fermion limits in supergravity amplitudes.
  • Investigation of loop-level validity of new soft theorems.

Main Results:

  • The double-soft limit of Goldstinos reproduces the supersymmetry algebra.
  • Universal double-soft fermion behavior is observed in 4≤N≤8 supergravity theories (4D) and N=16 supergravity (3D).
  • These results extend beyond standard supersymmetry Ward identities.

Conclusions:

  • Universal double-soft behavior is a property of both scalars and fermions in specific dimensions.
  • The findings provide new constraints on counterterms in supergravity theories.
  • This work deepens the understanding of symmetries in quantum field theories.