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Moduli spaces in CFT: bootstrap equation in a perturbative example
Published 2024-12-01“…Abstract Conformal field theories that exhibit spontaneous breaking of conformal symmetry (a moduli space of vacua) must satisfy a set of bootstrap constraints, involving the usual data (scaling dimensions and OPE coefficients) as well as new data such as the spectrum of asymptotic states in the broken vacuum and form factors. …”
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42
A note on defect stability in d = 4 − ε
Published 2024-12-01“…Examples are known of multiple stable line defect Conformal Field Theories (dCFTs) existing simultaneously, unlike the case of normal multiscalar field theories where a theorem by Michel guarantees that the stable fixed point is the unique global minimum of a so-called A-function. …”
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43
Conformal line defects at finite temperature
Published 2025-01-01“…We study conformal field theories at finite temperature in the presence of a temporal conformal line defect, wrapping the thermal circle, akin to a Polyakov loop in gauge theories. …”
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44
Unifying error-correcting code/Narain CFT correspondences via lattices over integers of cyclotomic fields
Published 2025-03-01“…We identify Narain conformal field theories (CFTs) that correspond to code lattices for quantum error-correcting codes (QECC) over integers of cyclotomic fields Q(ζp) (ζp=e2πip) for general prime p≥3. …”
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45
Krylov complexity in 2d CFTs with SL(2, ℝ) deformed Hamiltonians
Published 2025-02-01“…Abstract In this study, we analyze Krylov Complexity in two-dimensional conformal field theories subjected to deformed SL(2, ℝ) Hamiltonians. …”
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