https://doi.org/10.1140/epjc/s10052-020-7704-5
Regular Article - Theoretical Physics
Holography of massive M2-brane theory with discrete torsion
1
Department of Physics, BK21 Physics Research Division, Autonomous Institute of Natural Science, Institute of Basic Science, Sungkyunkwan University, Suwon, 16419, Korea
2
University College, Sungkyunkwan University, Suwon, 16419, Korea
* e-mail: ddtolla@skku.edu
Received:
5
September
2019
Accepted:
2
February
2020
Published online:
9
March
2020
We investigate the gauge/gravity duality between the 
mass-deformed ABJ theory with 
gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(2,1) 
SO(4)/
SO(4)/
isometry and the discrete torsion l. For chiral primary operators with conformal dimensions 
, we obtain the exact vacuum expectation values using the holographic method in 11-dimensional supergravity and show that the results depend on the shapes of droplet pictures in LLM geometries. The 
contributions from the discrete torsion l for several simple droplet pictures in the large N limit are determined in holographic vacuum expectation values. We also explore the effects of the orbifolding and the asymptotic discrete torsion l, on the gauge/gravity duality dictionary and on the nature of the asymptotic limits of the LLM geometries.
© The Author(s), 2020
