Interface Yang–Mills, supersymmetry, and Janus

By E. D’Hoker, John W. Estes, M. Gutperle. 2006

145 citations recorded by the source corpus.

Abstract We consider theories consisting of a planar interface with N = 4 super-Yang–Mills on either side and varying gauge coupling across the interface. The interface does not carry any independent degrees of freedom, but is allowed to support local gauge invariant operators, included with independent interface couplings. In general, both conformal symmetry and supersymmetry will be broken, but for special arrangements of the interface couplings, these symmetries may be restored. We provide a systematic classification of all allowed interface supersymmetries. We find new theories preserving eight and four Poincare supersymmetries, which get extended to sixteen and eight supersymmetries in the conformal limit, respectively with SU ( 2 ) × SU ( 2 ) , SO ( 2 ) × SU ( 2 ) internal symmetry. The Lagrangians for these theories are explicitly constructed. We also recover the theory with two Poincare supersymmetries and SU ( 3 ) internal symmetry proposed earlier as a candidate CFT dual to super-Janus. Since our new interface theories have only operators from the supergravity multiplet turned on, dual supergravity solutions are expected to exist. We speculate on the possible relation between the interface theory with maximal supersymmetry and the near-horizon limit of the D3–D5 system.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f572cf303b0e6ddf133a93fa61e9e25e91a5ed98

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Citations in the corpus

Janus configurations, Chern-Simons couplings, and The θ-Angle in $ \mathcal{N} = 4 $ super Yang-Mills theory (2008, background): “Originally, Janus solutions were found in supergravity, but counterparts, which we will call Janus configurations, also exist [2, 5 ] in weakly coupled field theory.”
Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus (2007, background): “In particular, it was shown in [ 7 ] that, while the conformal symmetry group SO(2,4) of the N = 4 theory is always reduced to the conformal group SO(2,3) of the planar interface, the 32 conformal supersymmetries of the bulk theory may be reduced to either 0, 4, 8, or 16 conformal supersymmetries, a”
Boundary conformal field theory and a boundary central charge (2017, background): “In N = 4 Super-Yang Mills theory in 3+1 dimensions, a 3 + 3 splitting of the scalars preserves a SO(3)×SO(3) ⊂ SO(6) subgroup of the R-symmetry and a OSp(4|4) subgroup of the PSU(4|4) superalgebra [62, 63].”
Gravity duals of half-BPS Wilson loops (2007, background): “These solutions are holographic duals of (generalized) interface SYM theories [ 14 , 15].”
The virtue of defects in 4D gauge theories and 2D CFTs (2010, background): “This is familiar from the N = 4 SYM Janus domain wall [47].”