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Root-TT[over ¯] Deformations in Two-Dimensional Quantum Field Theories.

Christian Ferko1, Alessandro Sfondrini2, Liam Smith3

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Summary
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We introduce Root-TT[over ¯], a new deformation for 2D quantum field theories. This operator, related to ModMax theory, offers a novel way to study quantum field theory flows.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory

Background:

  • Two-dimensional quantum field theories (QFTs) are fundamental in physics.
  • The TT[over ¯] operator deforms conformal field theories (CFTs).

Purpose of the Study:

  • Introduce a novel one-parameter deformation of 2D QFTs.
  • Explore the properties and implications of this new deformation.

Main Methods:

  • Definition of the Root-TT[over ¯] operator.
  • Analysis of its classical properties and flow generation.
  • Comparison with existing theories like ModMax.

Main Results:

  • The Root-TT[over ¯] operator provides a one-parameter deformation for 2D QFTs.
  • For CFTs, it acts as the square root of the TT[over ¯] operator.
  • The generated flow commutes with the TT[over ¯] flow and relates to ModMax theory.

Conclusions:

  • The Root-TT[over ¯] operator offers a new tool for studying QFTs.
  • Its connection to ModMax theory suggests potential new research directions.