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Bootstrapping mixed...
Bootstrapping mixed correlators in N=4 super Yang-Mills
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- Bissi, Agnese (author)
- Uppsala universitet,Teoretisk fysik
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- Manenti, Andrea (author)
- Uppsala universitet,Institutionen för fysik och astronomi,Ecole Polytech Fed Lausanne, Inst Phys, Route Sorge, CH-1015 Lausanne, Switzerland.
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- Vichi, Alessandro (author)
- Ecole Polytech Fed Lausanne, Inst Phys, Route Sorge, CH-1015 Lausanne, Switzerland.;Pisa Univ, Dept Phys E Fermi, Largo B Pontecorvo 3, I-56127 Pisa, Italy.
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(creator_code:org_t)
- Springer Nature, 2021
- 2021
- English.
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In: Journal of High Energy Physics (JHEP). - : Springer Nature. - 1126-6708 .- 1029-8479. ; :5
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Abstract
Subject headings
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- We perform a numerical bootstrap study of the mixed correlator system containing the half-BPS operators of dimension two and three in N = 4 Super Yang-Mills. This setup improves on previous works in the literature that only considered single correlators of one or the other operator. We obtain upper bounds on the leading twist in a given representation of the R-symmetry by imposing gaps on the twist of all operators rather than the dimension of a single one. As a result we find a tension between the large N supergravity predictions and the numerical finite N results already at N similar to 100. A few possible solutions are discussed: the extremal spectrum suggests that at large but finite N, in addition to the double trace operators, there exists a second tower of states with smaller dimension. We also obtain new bounds on the dimension of operators which were not accessible with a single correlator setup. Finally we consider bounds on the OPE coefficients of various operators. The results obtained for the OPE coefficient of the lightest scalar singlet show evidences of a two dimensional conformal manifold.
Subject headings
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
- NATURVETENSKAP -- Fysik -- Annan fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Other Physics Topics (hsv//eng)
Keyword
- Conformal Field Theory
- 1
- N Expansion
- AdS-CFT Correspondence
- Extended Supersymmetry
Publication and Content Type
- ref (subject category)
- art (subject category)
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