The $ \mathcal{N}=2 $ superconformal bootstrap - INSPIRE

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The $\mathcal{N}=2$ superconformal bootstrap

Christopher Beem
(
- Princeton, Inst. Advanced Study
)
,
Madalena Lemos
(
- YITP, Stony Brook
)
,
Pedro Liendo
(
- Humboldt U., Berlin
)
,
Leonardo Rastelli
(
- YITP, Stony Brook
)
,
Balt C. van Rees
(
- CERN
)

Dec 23, 2014

92 pages

Published in:

JHEP 03 (2016) 183

Published: Mar 29, 2016

e-Print:

1412.7541 [hep-th]

DOI:

10.1007/JHEP03(2016)183

Report number:

HU-EP-14-61,
YITP-SB-14-54,
CERN-PH-TH-2014-269,
HU-EP-14/61

View in:

reference search205 citations

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Abstract: (Springer)

In this work we initiate the conformal bootstrap program for

\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

\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

\mathcal{N}=2

superconformal field theory.

Note:

92 pages (64 pages + 5 appendices), 27 figures; v2: minor improvements, results unchanged

Conformal and W Symmetry
Conformal Field Models in String Theory
Extended Supersymmetry
Supersymmetric gauge theory
field theory: conformal
bootstrap: conformal
Ward identity: conformal
operator: dimension
operator: chiral
symmetry: flavor

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Figures(35)

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