Built on

A. D. Shapere and Y. Tachikawa, Central charges of N=2 superconformal field theories in four dimensions
Original
1957
Earlier work this paper cites.
V. Dobrev and V. Petkova, All Positive Energy Unitary Irreducible Representations of Extended Conformal Supersymmetry
1985
Earlier work this paper cites.
P. C. Argyres and M. R. Douglas, New phenomena in SU(3) supersymmetric gauge theory
1995
Earlier work this paper cites.
P. C. Argyres, M. R. Plesser, N. Seiberg, and E. Witten, New N=2 superconformal field theories in four-dimensions
1996
Earlier work this paper cites.
Y.-K. E. Cheung, O. J. Ganor, and M. Krogh, Correlators of the global symmetry currents of 4-D and 6-D superconformal theories
1998
Earlier work this paper cites.
O. Aharony, A. Fayyazuddin, and J. M. Maldacena, The Large N limit of N=2, N=1 field theories from three-branes in F theory
1998
Earlier work this paper cites.
F. Dolan and H. Osborn, On short and semi-short representations for four-dimensional superconformal symmetry
2003
Earlier work this paper cites.
F. Dolan and H. Osborn, Conformal partial waves and the operator product expansion
2004
Earlier work this paper cites.
F. A. Dolan, L. Gallot, and E. Sokatchev, On four-point functions of 1/2-BPS operators in general dimensions
2004
Earlier work this paper cites.
M. Nirschl and H. Osborn, Superconformal Ward identities and their solution
2005
Earlier work this paper cites.
P. C. Argyres and N. Seiberg, S-duality in N=2 supersymmetric gauge theories
Original
2007
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, Bounding scalar operator dimensions in 4D CFT
Original
2008
Earlier work this paper cites.
O. Aharony and Y. Tachikawa, A Holographic computation of the central charges of d=4, N=2 SCFTs
Original
2008
Earlier work this paper cites.
D. M. Hofman and J. Maldacena, Conformal collider physics: Energy and charge correlations
Original
2008
Earlier work this paper cites.
O. Chacaltana and J. Distler, Tinkertoys for Gaiotto Duality
Original
2010
Earlier work this paper cites.
R. Rattazzi, S. Rychkov, and A. Vichi, Central Charge Bounds in 4D Conformal Field Theory
Original
2011
Earlier work this paper cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, Solving the 3D Ising Model with the Conformal Bootstrap
Original
2012
Earlier work this paper cites.
D. Poland, D. Simmons-Duffin, and A. Vichi, Carving Out the Space of 4D CFTs
Original
2012
Earlier work this paper cites.
D. Gaiotto, N=2 dualities
Original
2012
Earlier work this paper cites.
W. D. Goldberger, W. Skiba, and M. Son, Superembedding Methods for 4d N=1 SCFTs
Original
2012
Earlier work this paper cites.
C. Beem, L. Rastelli, and B. C. van Rees, The N=4 Superconformal Bootstrap
Original
2013
Earlier work this paper cites.

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Then

A. L. Fitzpatrick, J. Kaplan, Z. U. Khandker, D. Li, D. Poland, and D. Simmons-Duffin, Covariant Approaches to Superconformal Blocks
Original
2014
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F. Caracciolo, A. C. Echeverri, B. von Harling, and M. Serone, Bounds on OPE Coefficients in 4D Conformal Field Theories
Original
2014
Later among the works it cites.
C. Behan, Conformal blocks for highly disparate scaling dimensions
Original
2014
Later among the works it cites.
A. L. Fitzpatrick, J. Kaplan, and M. T. Walters, Universality of Long-Distance AdS Physics from the CFT Bootstrap
Original
2014
Later among the works it cites.
D. Xie and K. Yonekura, The moduli space of vacua of 𝒩 = 2 \mathcal{N}=2 class 𝒮 \mathcal{S} theories

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2015

Bootstrapping ${\mathcal N}=2$ chiral correlators

Lemos, Madalena, Liendo, Pedro

Understand

We apply the numerical bootstrap program to chiral operators in four-dimensional ${\mathcal N}=2$ SCFTs.

In the first part of this work we study four-point functions in which all fields have the same conformal dimension.
We give special emphasis to bootstrapping a specific theory: the simplest Argyres-Douglas fixed point with no flavor symmetry.
In the second part we generalize our setup and consider correlators of fields with unequal dimension.

Built on

A. D. Shapere and Y. Tachikawa, Central charges of N=2 superconformal field theories in four dimensions
Original
1957
Earlier work this paper cites.
V. Dobrev and V. Petkova, All Positive Energy Unitary Irreducible Representations of Extended Conformal Supersymmetry
1985
Earlier work this paper cites.
P. C. Argyres and M. R. Douglas, New phenomena in SU(3) supersymmetric gauge theory
1995
Earlier work this paper cites.
P. C. Argyres, M. R. Plesser, N. Seiberg, and E. Witten, New N=2 superconformal field theories in four-dimensions
1996
Earlier work this paper cites.
Y.-K. E. Cheung, O. J. Ganor, and M. Krogh, Correlators of the global symmetry currents of 4-D and 6-D superconformal theories
1998
Earlier work this paper cites.
O. Aharony, A. Fayyazuddin, and J. M. Maldacena, The Large N limit of N=2, N=1 field theories from three-branes in F theory
1998
Earlier work this paper cites.
F. Dolan and H. Osborn, On short and semi-short representations for four-dimensional superconformal symmetry
2003
Earlier work this paper cites.
F. Dolan and H. Osborn, Conformal partial waves and the operator product expansion
2004
Earlier work this paper cites.
F. A. Dolan, L. Gallot, and E. Sokatchev, On four-point functions of 1/2-BPS operators in general dimensions
2004
Earlier work this paper cites.
M. Nirschl and H. Osborn, Superconformal Ward identities and their solution
2005
Earlier work this paper cites.
P. C. Argyres and N. Seiberg, S-duality in N=2 supersymmetric gauge theories
Original
2007
Earlier work this paper cites.
R. Rattazzi, V. S. Rychkov, E. Tonni, and A. Vichi, Bounding scalar operator dimensions in 4D CFT
Original
2008
Earlier work this paper cites.
O. Aharony and Y. Tachikawa, A Holographic computation of the central charges of d=4, N=2 SCFTs
Original
2008
Earlier work this paper cites.
D. M. Hofman and J. Maldacena, Conformal collider physics: Energy and charge correlations
Original
2008
Earlier work this paper cites.
O. Chacaltana and J. Distler, Tinkertoys for Gaiotto Duality
Original
2010
Earlier work this paper cites.
R. Rattazzi, S. Rychkov, and A. Vichi, Central Charge Bounds in 4D Conformal Field Theory
Original
2011
Earlier work this paper cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin, and A. Vichi, Solving the 3D Ising Model with the Conformal Bootstrap
Original
2012
Earlier work this paper cites.
D. Poland, D. Simmons-Duffin, and A. Vichi, Carving Out the Space of 4D CFTs
Original
2012
Earlier work this paper cites.
D. Gaiotto, N=2 dualities
Original
2012
Earlier work this paper cites.
W. D. Goldberger, W. Skiba, and M. Son, Superembedding Methods for 4d N=1 SCFTs
Original
2012
Earlier work this paper cites.
C. Beem, L. Rastelli, and B. C. van Rees, The N=4 Superconformal Bootstrap
Original
2013
Earlier work this paper cites.