Higher spin ANEC and the space of CFTs

被引：0
作者：
David Meltzer
机构：
[1] California Institute of Technology,Walter Burke Institute for Theoretical Physics
[2] Yale University,Department of Physics
来源：
Journal of High Energy Physics | / 2019卷
关键词：
AdS-CFT Correspondence; Conformal and W Symmetry; Conformal Field Theory; Higher Spin Symmetry;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the positivity properties of the leading Regge trajectory in higher-dimensional, unitary, conformal field theories (CFTs). These conditions correspond to higher spin generalizations of the averaged null energy condition (ANEC). By studying higher spin ANEC, we will derive new bounds on the dimensions of charged, spinning operators and prove that if the Hofman-Maldacena bounds are saturated, then the theory has a higher spin symmetry. We also derive new, general bounds on CFTs, with an emphasis on theories whose spectrum is close to that of a generalized free field theory. As an example, we consider the Ising CFT and show how the OPE structure of the leading Regge trajectory is constrained by causality. Finally, we use the analytic bootstrap to perform additional checks, in a large class of CFTs, that higher spin ANEC is obeyed at large and finite spin. In the process, we calculate corrections to large spin OPE coefficients to one-loop and higher in holographic CFTs.
引用
收藏
相关论文
共 198 条
[11]  
Leigh RG(2016)Conformal Collider Physics from the Lightcone Bootstrap JHEP 02 164-undefined
[12]  
Parrikar O(2018)The 3d Stress-Tensor Bootstrap JHEP 02 098-undefined
[13]  
Wang H(2019)Charting the space of 3D CFTs with a continuous global symmetry JHEP 05 214011-undefined
[14]  
Komargodski Z(2013)Constraining Conformal Field Theories with A Higher Spin Symmetry J. Phys. A 46 1350162-undefined
[15]  
Kulaxizi M(2013)On the uniqueness of higher-spin symmetries in AdS and CFT Int. J. Mod. Phys. A 28 044-undefined
[16]  
Parnachev A(2016)Constraining conformal field theories with a higher spin symmetry in d > 3 dimensions JHEP 03 2112-undefined
[17]  
Zhiboedov A(2012)Chern-Simons Theory with Vector Fermion Matter Eur. Phys. J. C 72 104003-undefined
[18]  
Hofman DM(2013)Constraining conformal field theories with a slightly broken higher spin symmetry Class. Quant. Grav. 30 166-undefined
[19]  
Li D(2018)The Analytic Bootstrap for Large N Chern-Simons Vector Models JHEP 08 034-undefined
[20]  
Meltzer D(2018)Veneziano Amplitude of Vasiliev Theory JHEP 10 085-undefined
12345678910