期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 4, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP04(2016)184
关键词
Conformal and W Symmetry; Field Theories in Higher Dimensions
资金
- U.S. DOE grant [DE-SC0011632]
- WPI Initiative of MEXT
- JSPS KAKENHI [C-26400240, 15H05895]
- Simons Investigator Award
- Walter Burke Institute for Theoretical Physics
- Moore Center for Theoretical Cosmology and Physics at Caltech
- U.S. Department of Energy (DOE) [DE-SC0011632] Funding Source: U.S. Department of Energy (DOE)
We use modular invariance and crossing symmetry of conformal field theory to reveal approximate reflection symmetries in the spectral decompositions of the partition function in two dimensions in the limit of large central charge and of the four-point function in any dimension in the limit of large scaling dimensions Delta(0) of external operators. We use these symmetries to motivate universal upper bounds on the spectrum and the operator product expansion coefficients, which we then derive by independent techniques. Some of the bounds for four-point functions are valid for finite Delta(0) as well as for large Delta(0). We discuss a similar symmetry in a large spacetime dimension limit. Finally, we comment on the analogue of the Cardy formula and sparse light spectrum condition for the four-point function.
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