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For superconformal field theory, such as D=4 N=1 SYM, D=4 N=2 SYM, D=4 N=4 SYM, D=6 N=(1,0) SCFT, D=6 N=(2,0) SCFT:
Christopher Beem, Madalena Lemos, Pedro Liendo, Leonardo Rastelli, Balt C. van Rees, The superconformal bootstrap (arXiv:1412.7541)
Christopher Beem, Madalena Lemos, Leonardo Rastelli, Balt C. van Rees, The superconformal bootstrap (arXiv:1507.05637)
Christopher Beem, Leonardo Rastelli, Balt C. van Rees, More superconformal bootstrap (arXiv:1612.02363)
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Discussion of superconformal bootstrap in view of AdS/CFT, hence as a precise and detailed construction of large-N and asymptotically AdS string theory/M-theory:
string scattering amplitudes ;
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On the other hand, given our utter lack of a complete description of M-theory, the bulk is not terribly useful for determining finite aspects of the dual CFT. However, we can turn this problem around using the modern perspective of the conformal bootstrap, which gives an a priori independent formulation of the (local sector of the) CFT. This provides an independent tool for constructing M-theory at the non-perturbative level, a philosophy thatwe will substantiate in this work.
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Shai Chester, Walter Landry, Junyu Liu, David Poland, David Simmons-Duffin, Ning Su, Alessandro Vichi, Carving out OPE space and precise model critical exponents, JHEP 06 (2020) 142 (arXiv:1912.03324)
exposition in:
Slava Rychkov, Conformal bootstrap and the -point specific heat experimental anomaly, Journal Club for Condensed Matter Physics recommendation 2020 (pdf, doi:10.36471/JCCM_January_2020_02)
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