We consider type IIB supergravity on a Z_{2} quotient of AdS_{5}×S^{5} as the holographic dual of strongly coupled 4D N=4 SYM on RP^{4} space with the gauging of charge conjugation. Using bootstrap techniques, we determine all two-point functions of 1/2-BPS operators of arbitrary weights at the leading order in the large central charge expansion.
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http://dx.doi.org/10.1103/PhysRevLett.133.201602 | DOI Listing |
Phys Rev Lett
November 2024
Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China and Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, China.
We consider type IIB supergravity on a Z_{2} quotient of AdS_{5}×S^{5} as the holographic dual of strongly coupled 4D N=4 SYM on RP^{4} space with the gauging of charge conjugation. Using bootstrap techniques, we determine all two-point functions of 1/2-BPS operators of arbitrary weights at the leading order in the large central charge expansion.
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April 2024
Institut für Mathematik und Physik, Humboldt-Universität zu Berlin, Zum großen Windkanal 2, 12489 Berlin, Germany.
We consider the correlator ⟨LKK[over ˜]⟩ of the Lagrange operator of N=4 super Yang-Mills theory and two conjugate two-excitation operators in an su(2) sector. We recover the planar one-loop anomalous dimension of the renormalized operators from this hexagon computation.
View Article and Find Full Text PDFPhys Rev Lett
March 2024
Centre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of London, London E1 4NS, United Kingdom.
We study integrated correlators of four superconformal primaries O_{p} with arbitrary charges p in N=4 super Yang-Mills theory. The ⟨O_{2}O_{2}O_{p}O_{p}⟩ integrated correlators can be computed by supersymmetric localization, whereas correlators with more general charges are currently not accessible from this method and, in general, contain complicated multiple zeta values. Nevertheless, we observe that, if one sums over the contributions from all different channels in a given correlator, then all the multiple zeta values (and products of ζ's) cancel, leaving only ζ(2ℓ+1) at ℓ loops.
View Article and Find Full Text PDFPhys Rev Lett
November 2022
Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
We consider correlation functions of single trace operators approaching the cusps of null polygons in a double-scaling limit where so-called cusp times t_{i}^{2}=g^{2}logx_{i-1,i}^{2}logx_{i,i+1}^{2} are held fixed and the 't Hooft coupling is small. With the help of stampedes, symbols, and educated guesses, we find that any such correlator can be uniquely fixed through a set of coupled lattice PDEs of Toda type with several intriguing novel features. These results hold for most conformal gauge theories with a large number of colors, including planar N=4 SYM.
View Article and Find Full Text PDFPhys Rev Lett
November 2022
Department of Particle Physics and Astrophysics, Weizmann Institute of Science, 7610001 Rehovot, Israel.
We consider graviton scattering in maximal supergravity on anti-de Sitter space (AdS) in d+1 dimensions for d=3, 4, and 6 with no extra compact spacetime factor. Holography suggests that this theory is dual to an exotic maximally supersymmetric conformal field theory (CFT) in d dimensions whose only light single trace operator is the stress tensor. This contrasts with more standard cases like type IIB string theory on AdS_{5}×S^{5} dual to N=4 super-Yang-Mills, where the CFT has light single trace operators for each Kaluza-Klein mode on S^{5}.
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