scholarly journals Resolved gravity duals of N = 4 $$ \mathcal{N}=4 $$ quiver field theories in 2 + 1 dimensions

2016 ◽  
Vol 2016 (10) ◽  
Author(s):  
William Cottrell ◽  
Akikazu Hashimoto
Keyword(s):  
Field Theories ◽  
Gravity Duals

scholarly journals Nonlocal field theories and their gravity duals

2002 ◽  
Vol 65 (6) ◽  
Author(s):  
Aaron Bergman ◽  
Keshav Dasgupta ◽  
Ori J. Ganor ◽  
Joanna L. Karczmarek ◽  
Govindan Rajesh
Keyword(s):  
Field Theories ◽  
Nonlocal Field ◽  
Gravity Duals

scholarly journals Gravity duals of quantum distances

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Run-Qiu Yang
Keyword(s):  
Field Theory ◽  
Ground State ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Trace Distance ◽  
Conformal Field ◽  
Holographic Approach ◽  
Rényi Relative Entropy ◽  
Bures Distance ◽  
Gravity Duals

Abstract This paper provides a holographic approach to compute some most-frequently used quantum distances and quasi-distances in strongly coupling systems and conformal field theories. By choosing modular ground state as the reference state, it finds that the trace distance, Fubini-Study distance, Bures distance and Rényi relative entropy, all have gravity duals. Their gravity duals have two equivalent descriptions: one is given by the integration of the area of a cosmic brane, the other one is given by the Euclidian on-shell action of dual theory and the area of the cosmic brane. It then applies these duals into the 2-dimensional conformal field theory as examples and finds the results match with the computations of field theory exactly.

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