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We found a new mechanism for interesting interface conformal manifolds in (1+1)d CFTs without symmetry or supersymmetry. This mechanism relies on breaking an enhanced, noninvertible symmetry in the folded theory.

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Area of Science:

  • Condensed matter theory
  • Quantum field theory
  • String theory

Background:

  • Conformal Field Theories (CFTs) in (1+1) dimensions are crucial for understanding critical phenomena.
  • Interface conformal manifolds are important for studying defects and boundaries in quantum systems.
  • Symmetry and supersymmetry often play key roles in simplifying CFT analysis.

Purpose of the Study:

  • To explore a general mechanism for generating interesting interface conformal manifolds in (1+1)d CFTs.
  • To investigate these phenomena in the absence of continuous internal symmetry or supersymmetry.
  • To demonstrate the utility of a symmetry-based approach for analyzing defect conformal manifolds.

Main Methods:

  • Analyzing (1+1)d CFTs with a focus on folded theories.
  • Identifying and studying enhanced, generically noninvertible symmetries.
  • Utilizing symmetry breaking mechanisms to generate interface conformal manifolds.
  • Computing the evolution of the reflection coefficient along the defect conformal manifold.

Main Results:

  • A general mechanism enabling interesting interface conformal manifolds in (1+1)d CFTs without continuous symmetry or supersymmetry has been identified.
  • The breaking of an enhanced, noninvertible symmetry in the folded theory is key to this mechanism.
  • The symmetry-based approach allows for the computation of the reflection coefficient's evolution.

Conclusions:

  • The study provides a novel mechanism for constructing interface conformal manifolds in CFTs.
  • The findings highlight the importance of noninvertible symmetries in quantum field theory.
  • The approach is extendable to higher dimensions and offers insights into no-go theorems.