Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2019)088
Keywords
Boundary Quantum Field Theory; Conformal Field Theory; Conformal and W Symmetry
Categories
Funding
- U.S. National Science Foundation [PHY-1620628]
- U.K. Science & Technology Facilities Council [ST/P000258/1]
- ERC [304806]
- Wolfson Fellowship from the Royal Society
- MIUR-SIR grant Quantum Field Theories at Strong Coupling: Exact Computations and Applications [RBSI1471GJ]
- INFN Iniziativa Specifica STFI
- STFC [ST/P000258/1] Funding Source: UKRI
- European Research Council (ERC) [304806] Funding Source: European Research Council (ERC)
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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 protected scaling dimension increment equal to the space-time dimension d of the conformal field theory, while with a boundary, as long as the operator dimension is protected, one can make up for the difference d - Delta by including a factor z (Delta -d) in the deformation where z is the distance from the boundary. This coordinate dependence does not lead to a reduction in the underlying SO(d, 1) global conformal symmetry group of the boundary conformal field theory. We show that such terms can arise from boundary flows in interacting field theories. Ultimately, we would like to be able to characterize what types of boundary conformal field theories live on the orbits of such deformations. As a first step, we consider a free scalar with a conformally invariant mass term z(-2)phi(2), and a fermion with a similar mass. We find a connection to double trace deformations in the AdS/CFT literature.
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