The N=2$$ \mathcal{N}=2 $$ superconformal bootstrap
By Christopher Beem, Madalena Lemos, P. Liendo, L. Rastelli, B. C. Rees. 2014
136 citations recorded by the source corpus.
A bstractIn this work we initiate the conformal bootstrap program for N=2$$ \mathcal{N}=2 $$ super-conformal field theories in four dimensions. We promote an abstract operator-algebraic viewpoint in order to unify the description of Lagrangian and non-Lagrangian theories, and formulate various conjectures concerning the landscape of theories. We analyze in detail the four-point functions of flavor symmetry current multiplets and of N=2$$ \mathcal{N}=2 $$ chiral operators. For both correlation functions we review the solution of the superconformal Ward identities and describe their superconformal block decompositions. This provides the foundation for an extensive numerical analysis discussed in the second half of the paper. We find a large number of constraints for operator dimensions, OPE coefficients, and central charges that must hold for any N=2$$ \mathcal{N}=2 $$ superconformal field theory.
Subfields: Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/d6492adaf518da07742eff42e1fbb5a225598a94
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In Geometry and Topology
- David Simmons-Duffin
- A. Vichi
- David Poland
- Christopher Beem
- Shai M. Chester
- Junyu Liu
- Ning Su
- Walter Landry
In Nuclear and High Energy Physics
- David Simmons-Duffin
- David Poland
- S. Rychkov
- L. Rastelli
- B. C. Rees
- M. Paulos
- A. Vichi
- Shai M. Chester
Citations in the corpus
- Bootstrapping SCFTs with four supercharges (2015, methodology): “mensions [24]. These analytic results can then be used as input to perform a numerical bootstrap analysis and obtain bounds on the spectrum of unprotected operators in these highly symmetric theories [25, 24]. While theories with eight or more Poincare supercharges are quite rigid and possess deep m”
- Carving out OPE space and precise O(2) model critical exponents (2019, background): “See for instance [43–51] or [52–74] for supersymmetric studies.”
- The (2, 0) superconformal bootstrap (2015, background): “sed, an ever larger number of short operators that are not connected to the chiral algebra will appear in the OPE. This situation stands in contrast to analogous bootstrap problems in four dimensions [62,102], where the entirety of the short operator spectrum contributing to the desired four-point f”
- Geometric constraints on the space of N=2 SCFTs I: physical constraints on relevant deformations (2015, background): “t appear in the Bb 1 E r(0;0) OPE by R-spin conservation. Thus the only possible exactly marginal N= 2 operators are the fourth-level descendant of dimension-2 CB operators, Qe4E 2(0;0), as stated in [25]. 4 Physical deformations In this section we describe the constraints that N= 2 supersymmetry pu”