• Corpus ID: 238531472

Fermions in AdS and Gross-Neveu BCFT

  title={Fermions in AdS and Gross-Neveu BCFT},
  author={Simone Giombi and Elizabeth Helfenberger and Himanshu Khanchandani},
We study the boundary critical behavior of conformal field theories of interacting fermions in the Gross-Neveu universality class. By a Weyl transformation, the problem can be studied by placing the CFT in an anti de Sitter space background. After reviewing some aspects of free fermion theories in AdS, we use both large N methods and the epsilon expansion near 2 and 4 dimensions to study the conformal boundary conditions in the Gross-Neveu CFT. At large N and general dimension d, we find three… 

Figures and Tables from this paper


Conformal field theories in anti-de Sitter space
In this paper we discuss the dynamics of conformal field theories on anti-de Sitter space, focussing on the special case of the $ \mathcal{N} = 4 $ supersymmetric Yang-Mills theory on AdS4. We argue
A study of quantum field theories in AdS at finite coupling
A bstractWe study the O(N) and Gross-Neveu models at large N on AdSd+1 background. Thanks to the isometries of AdS, the observables in these theories are constrained by the SO(d, 2) conformal group
Yukawa CFTs and Emergent Supersymmetry
We study conformal field theories (CFTs) with Yukawa interactions in dimensions between 2 and 4; they provide UV completions of the Nambu–Jona-Lasinio and Gross–Neveu models which have four-fermion
Superconformal models for graphene and boundary central charges
A bstractIn the context of boundary conformal field theory, we investigate whether the boundary trace anomaly can depend on marginal directions in the presence of supersymmetry. Recently, it was
Supersymmetric multi-trace boundary conditions in AdS
Boundary conditions for massive fermions are investigated in AdSd for d ? 2. For fermion masses in the range 0 ? |m| < 1/2? with ? being the AdS length, the standard notion of normalizeability allows
Chern–Simons theory with vector fermion matter
We study three-dimensional conformal field theories described by U(N) Chern–Simons theory at level k coupled to massless fermions in the fundamental representation. By solving a Schwinger–Dyson
Defects in conformal field theory
A bstractWe discuss consequences of the breaking of conformal symmetry by a flat or spherical extended operator. We adapt the embedding formalism to the study of correlation functions of symmetric
On marginal operators in boundary conformal field theory
Abstract The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of
Half-BPS Wilson loop and AdS2/CFT1
Abstract We study correlation functions of local operator insertions on the 1/2-BPS Wilson line in N = 4 super Yang–Mills theory. These correlation functions are constrained by the 1d superconformal
Towards bootstrapping RG flows: sine-Gordon in AdS
Abstract The boundary correlation functions for a Quantum Field Theory (QFT) in an Anti-de Sitter (AdS) background can stay conformally covariant even if the bulk theory undergoes a renormalization