publication . Other literature type . Article . Preprint . 2018

R-current three-point functions in 4d $\mathcal{N}=1$ superconformal theories

Alessandro Vichi; Andreas Stergiou; Andrea Manenti;
Open Access
  • Published: 18 Dec 2018
  • Publisher: Springer Science and Business Media LLC
  • Country: Switzerland
Abstract
Comment: 39 pages. Ancillary Mathematica file with summary of results included with submission. v2: Typos fixed, references added, minor corrections/additions
Subjects
arXiv: High Energy Physics::Theory
free text keywords: Nuclear and High Energy Physics, High Energy Physics - Theory, Conformal and W Symmetry, Superspaces, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798, hep-th, Particle Physics - Theory, R-symmetry, Lorentz transformation, symbols.namesake, symbols, Physics, Multiplet, Superspace, Correlation function, Mathematical physics, Supersymmetry, Tensor, Conformal field theory
26 references, page 1 of 2

3Schematically we have: Xij = Xi · Xj, Iij = SiSj, Ji,jk = SiXjXkSi/Xjk, Ki,jk = SjXiSkpXjk/(Xij Xik). In

addition, Xab is obtained contracting XM with the 6d gamma matrices. Finally J1 ≡ J1,23, J2 ≡ J2,13, J3 ≡ J3,12

and similarly for Ki. In CFTs4D the structures I, J, K are denoted Iˆ, Jˆ, Kˆ . [2] A. L. Fitzpatrick, J. Kaplan, D. Poland & D. Simmons-Duffin, “The Analytic Bootstrap and

AdS Superhorizon Locality”, JHEP 1312, 004 (2013), arXiv:1212.3616 [hep-th];

JHEP 1311, 140 (2013), arXiv:1212.4103 [hep-th]. [3] D. Poland & D. Simmons-Duffin, “The conformal bootstrap”, Nature Phys. 12, 535 (2016). [4] M. S. Costa, J. Penedones, D. Poland & S. Rychkov, “Spinning Conformal Blocks”,

JHEP 1111, 154 (2011), arXiv:1109.6321 [hep-th];

Conformal Blocks”, JHEP 1604, 074 (2016), arXiv:1511.01497 [hep-th]. [5] A. C. Echeverri, E. Elkhidir, D. Karateev & M. Serone, “Deconstructing Conformal Blocks

in 4D CFT”, JHEP 1508, 101 (2015), arXiv:1505.03750 [hep-th]. [6] A. Castedo Echeverri, E. Elkhidir, D. Karateev & M. Serone, “Seed Conformal Blocks in 4D

CFT”, JHEP 1602, 183 (2016), arXiv:1601.05325 [hep-th]. [7] P. Liendo, I. Ramirez & J. Seo, “Stress-tensor OPE in N = 2 superconformal theories”,

JHEP 1602, 019 (2016), arXiv:1509.00033 [hep-th]. [8] D. Poland & D. Simmons-Duffin, “Bounds on 4D Conformal and Superconformal Field Theo-

ries”, JHEP 1105, 017 (2011), arXiv:1009.2087 [hep-th];

A. Vichi, “Improved bounds for CFT's with global symmetries”, JHEP 1201, 162 (2012), [OpenAIRE]

arXiv:1106.4037 [hep-th]. [9] J.-F. Fortin, K. Intriligator & A. Stergiou, “Current OPEs in Superconformal Theories”,

JHEP 1109, 071 (2011), arXiv:1107.1721 [hep-th]. [12] D. Li, D. Meltzer & A. Stergiou, “Bootstrapping mixed correlators in 4D N = 1 SCFTs”,

JHEP 1707, 029 (2017), arXiv:1702.00404 [hep-th]. [13] S. Ferrara & B. Zumino,

26 references, page 1 of 2
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