Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 8, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP08(2015)142
Keywords
Supersymmetric gauge theory; Field Theories in Lower Dimensions; Conformal and W Symmetry
Categories
Funding
- KU Leuven [BOF/STG/14/032]
- COST Action [MP1210]
- European Science Foundation Holograv Network
- Perimeter Institute for Theoretical Physics
- Government of Canada through Industry Canada
- Province of Ontario through the Ministry of Research and Innovation
- Marie Curie Intra-European Fellowship of the European Community's 7th Framework Programme [PIEF-GA-2013-623606]
- US DOE-grant [DE-SC0010010]
- U.S. Department of Energy (DOE) [DE-SC0010010] Funding Source: U.S. Department of Energy (DOE)
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We study the constraints imposed by superconformal symmetry, crossing symmetry, and unitarity for theories with four supercharges in spacetime dimension 2 <= d <= 4. We show how superconformal algebras with four Poincare supercharges can be treated in a formalism applicable to any, in principle continuous, value of d and use this to construct the superconformal blocks for any d <= 4. We then use numerical bootstrap techniques to derive upper bounds on the conformal dimension of the first unprotected operator appearing in the OPE of a chiral and an anti-chiral superconformal primary. We obtain an intriguing structure of three distinct kinks. We argue that one of the kinks smoothly interpolates between the d = 2, IV = (2, 2) minimal model with central charge c = 1 and the theory of a free chiral multiplet in d = 4, passing through the critical Wess-Zumino model with cubic superpotential in intermediate dimensions.
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