Consistent Truncations of IIB Supergravity and a Holographic c-theorem for Higher Derivative Gravity.

High Energy Theoretical Physics;Type IIB Supergravity;Consistent Truncation;Holographic C-theorem;Physics;Science;Physics

Zhao, ZhichenQian, Jianming ;

University of Michigan

关键词: High Energy Theoretical Physics;    Type IIB Supergravity;    Consistent Truncation;    Holographic C-theorem;    Physics;    Science;    Physics;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/93960/zhichen_1.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

We discuss two aspects of AdS/CFT. The first is the compactification and consistent truncation of type IIB supergravity on a five-dimensional squashed Sasaki-Einstein manifold. The second is an extension of the holographic c-theorem in arbitrary even dimensions to the case of bulk actions built out of higher curvature terms. We first derive the full bosonic and fermionic spectrum of fields for IIB supergravity compactified on a five-dimensional squashed Sasaki-Einstein manifold. Under certain ansatz, we truncate the ten dimensional fields of IIB supergravity into five dimensional fields up to the second Kaluza-Klein tower. The consistency of the truncation is proved. We group the Kaluza-Klein modes up to the second level into super-conformal field theory multiplets, and discuss potential applications of such truncations for the AdS/condensed matter correspondence. On the c-theorem side, we extend the holographic c-theorem proof into arbitrary even-dimensional gravity built of Lovelock terms. We also explore additional conditions that holographic c-theorems hold for the gravity action built of arbitrary f(R) and f(R_abcd) higher derivative terms.