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Defect Conformal Field Theory from Sachdev-Ye-Kitaev Interactions.

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We introduce new defect conformal field theories (CFTs) by coupling Majorana chains with SYK interactions. Our findings reveal a novel marginal defect and surprising deviations in entanglement properties.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory

Background:

  • Defect conformal field theory (CFT) arises from coupling defects to critical degrees of freedom.
  • Understanding these theories is crucial for exploring novel quantum phenomena.

Purpose of the Study:

  • To introduce a new family of boundary and interface CFTs.
  • To investigate the properties of these novel defect CFTs, particularly concerning entanglement and transmission coefficients.

Main Methods:

  • Coupling N Majorana chains with SYK_{q} interactions at the defect.
  • Utilizing a saddle-point method for calculating entanglement characterizations (g function, effective central charge).
  • Employing CFT techniques to analytically evaluate the transmission coefficient.

Main Results:

  • The SYK_{q} interaction with q=2 is identified as a new marginal defect.
  • Unique entanglement characterizations, including the g function and effective central charge, were computed.
  • The transmission coefficient was analytically evaluated, showing a surprising deviation from universal relations in the large N limit.

Conclusions:

  • The novel defect CFTs extend beyond known examples of Gaussian defect CFTs.
  • The observed deviation suggests new physics in the interplay between entanglement and transport across defects.
  • This work opens new avenues for studying strongly correlated quantum systems with defects.