期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP09(2022)053
关键词
Conformal and W Symmetry; Field Theories in Higher Dimensions
资金
- U.S. Department of Energy Office of Science [DE-SC0015845]
By studying d = 4 conformal field theories with a pure Einstein gravity dual, we have discovered interesting results about algebraic structures. Under certain conditions, a rescaled mode operator satisfies a Virasoro algebra, and the structure is enhanced to a Kac-Moody algebra when additional components are incorporated.
By applying the stress-tensor-scalar operator product expansion (OPE) twice, we search for algebraic structures in d = 4 conformal field theories (CFTs) with a pure Einstein gravity dual. We find that a resealed mode operator defined by an integral of the stress tensor T++ on a d = 2 plane satisfies a Virasoro-like algebra when the dimension of the scalar is large. The structure is enhanced to include a Kac-Moody-type algebra if we incorporate the T-- component. In our scheme, the central terms are finite. It remains challenging to directly compute the stress-tensor sector of d = 4 scalar four-point functions at large central charge, which, based on holography and bootstrap methods, were recently shown to have a Virasoro/W-algebra vacuum block-like structure.
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