Different lattice entanglement cuts at a (2+1)d O(3) quantum critical point realize distinct Rényi-defect universality classes, and the "extraordinary" cut undergoes an order-disorder transition as the Rényi index n is varied around n≈3–4.
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Analytic bootstrap plus perturbative RG yields universal constraints on conformal data, new boundary fixed points in d=4-ε, and first extraction of boundary data for the tricritical O(N) model in d=3-ε.
Exact infrared solutions for surface criticalities in the Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent structures linked to a defect version of the CFT distance conjecture.
A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.
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Criticality on R\'enyi defects at (2+1)$d$ O(3) quantum critical points
Different lattice entanglement cuts at a (2+1)d O(3) quantum critical point realize distinct Rényi-defect universality classes, and the "extraordinary" cut undergoes an order-disorder transition as the Rényi index n is varied around n≈3–4.
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Analytic Bootstrap for $O(N)$ Boundary Conformal Field Theories with Interacting Boundaries
Analytic bootstrap plus perturbative RG yields universal constraints on conformal data, new boundary fixed points in d=4-ε, and first extraction of boundary data for the tricritical O(N) model in d=3-ε.
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Extraordinary Surface Criticalities for Interacting Fermions
Exact infrared solutions for surface criticalities in the Gross-Neveu-Yukawa model encode fermionic anomalies in surface dynamics and reveal emergent structures linked to a defect version of the CFT distance conjecture.
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Universalities of Defects in Quantum Field Theories
A dissertation synthesizing universal aspects of defect dynamics in QFT through symmetry principles across defect RG flows, effective strings, and quantum gas impurities.