The (2, 0) superconformal bootstrap
By Christopher Beem, Madalena Lemos, L. Rastelli, B. C. Rees. 2015
260 citations recorded by the source corpus.
In this long overdue second installment, we continue to develop the conformal bootstrap program for N = 4 superconformal field theories (SCFTs) in four dimensions via an analysis of the correlation function of four stress-tensor supermultiplets. We review analytic results for this correlator and make contact with the SCFT/chiral algebra correspondence of Beem et al. [Commun. Math. Phys. 336, 1359 (2015)]. We demonstrate that the constraints of unitarity and crossing symmetry require the central charge c to be greater than or equal to 3 / 4 in any interacting N = 4 SCFT. We apply numerical bootstrap methods to derive upper bounds on scaling dimensions and operator product expansion coefficients for several low-lying, unprotected operators as a function of the central charge. We interpret our bounds in the context of N = 4 super Yang-Mills theories, formulating a series of conjectures regarding the embedding of the conformal manifold—parametrized by the complexified gauge coupling—into the space of scaling dimensions and operator product expansion coefficients. Our conjectures assign a distinguished role to points on the conformal manifold that are self-dual under a subgroup of the S -duality group. This paper contains a more detailed exposition of a number of results previously reported in Beem et al. [Phys. Rev. Lett. 111, 071601 (2013)] in addition to new results.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/bc6adc0fc83375898bf678bf23ade225d344348d
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In Astronomy and Astrophysics
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- A. Vichi
- David Poland
- Zhong Tan
- Shai M. Chester
- Silviu S. Pufu
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In Nuclear and High Energy Physics
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Citations in the corpus
- The ϵ ?> -expansion from conformal field theory (2015, background): “Many other conformal theories, such as the O N ( ) model [21, 22], models with supersymmetry in various dimensions [23–32], as well as other less familiar or conjectural conformal theories [33–39] are being studied.”
- TASI Lectures on the Conformal Bootstrap (2016, background): “y. An example is the 6d N= (2;0) supersymmetric CFT describing the IR limit of a stack of M5 branes in M-theory. This theory has no known Lagrangian description, but is amenable to bootstrap analysis [15].d A beautiful and ambitious goal of the bootstrap program is to eventudAt large central charge,”
- Carving out OPE space and precise O(2) model critical exponents (2019, background): “See for instance [43–51] or [52–74] for supersymmetric studies.”
- A proof of the conformal collider bounds (2016, unknown): “[2–5, 61–72]).”
- Top down approach to 6D SCFTs (2018, methodology): “For example, using the conformal bootstrap it has become possible to extract some robust results on certain subsectors of (2, 0) theories [26, 27] and some (1, 0) theories [28].”