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Summary
This summary is machine-generated.

This study presents 4D Lagrangian descriptions for compactified 6D conformal matter theories. These Lagrangians enable the construction of dualities for various compactifications, including arbitrary punctures and flux values.

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Area of Science:

  • High-energy physics
  • String theory
  • Quantum field theory

Background:

  • The study focuses on compactifications of 6-dimensional (D, D) minimal conformal matter theory.
  • Investigating dual descriptions across dimensions (IR duals) is crucial for understanding quantum field theories.

Purpose of the Study:

  • To develop 4D Lagrangian descriptions for specific compactifications of 6D conformal matter theory.
  • To construct across-dimensions duals for arbitrary compactifications with varying numbers and types of punctures and flux values.

Main Methods:

  • Formulating Lagrangians with a "star shaped quiver" structure.
  • Utilizing these Lagrangians to build dual descriptions for compactified theories.

Main Results:

  • The derived Lagrangian depends on the 6D theory, number, and type of punctures.
  • Successfully constructed duals for arbitrary compactifications, including genus, USp punctures, and flux.

Conclusions:

  • The 4D Lagrangian provides a versatile tool for studying dualities in compactified 6D conformal matter theories.
  • The approach allows for gauging symmetries manifest in the ultraviolet.