scholarly journals Holographic DC conductivity for backreacted NLED in massive gravity

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Shihao Bi ◽  
Jun Tao
Keyword(s):  
Massive Gravity ◽  
Boundary Theory ◽  
Holographic Model ◽  
Zero Temperature ◽  
Dc Conductivities ◽  
Diffeomorphism Invariance ◽  
Maxwell Electrodynamics ◽  
Coupling Parameters ◽  
General Transport ◽  
Chern Simons

Abstract In this work a holographic model with the charge current dual to a general non-linear electrodynamics (NLED) is discussed in the framework of massive gravity. Massive graviton can break the diffeomorphism invariance in the bulk and generates momentum dissipation in the dual boundary theory. The expression of DC conductivities in a finite magnetic field are obtained, with the backreaction of NLED field on the background geometry. General transport properties in various limits are presented, and then we turn to the three of specific NLED models: the conventional Maxwell electrodynamics, the Maxwell-Chern-Simons electrodynamics, and the Born-Infeld electrodynamics, to study the parameter-dependence of in-plane resistivities. Two mechanisms leading to the Mott-insulating behaviors and negative magneto-resistivities are revealed at zero temperature, and the role played by the massive gravity coupling parameters are discussed.

scholarly journals Disk Instantons, Mirror Symmetry and the Duality Web

2002 ◽  
Vol 57 (9-10) ◽  
pp. 1-28 ◽  
Author(s):  
Mina Aganagic ◽  
Albrecht Klemm ◽  
Cumrun Vafa
Keyword(s):  
Quantum Theory ◽  
Mirror Symmetry ◽  
Lagrangian Submanifolds ◽  
Simons Theory ◽  
Boundary Theory ◽  
Large N ◽  
M Theory ◽  
Chern Simons ◽  
Chern Simons Theory ◽  
Flat Coordinates

AbstractWe apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of D-branes wrapped over Lagrangian cycles of non-compact Calabi-Yau 3-folds. Along the way we clarify the notion of “flat coordinates” for the boundary theory. We also discover an integer IR ambiguity needed to define the quantum theory of D-branes wrapped over non-compact Lagrangian submanifolds. In the large N dual Chern-Simons theory, this ambiguity is mapped to the UV choice of the framing of the knot. In a type IIB dual description involving (p; q) 5-branes, disk instantons of type IIA get mapped to (p; q) string instantons. The M-theory lift of these results lead to computation of superpotential terms generated by M2 brane instantons wrapped over 3-cycles of certain manifolds of G2 holonomy.

scholarly journals TORSION, CHERN–SIMONS TERM AND DIFFEOMORPHISM INVARIANCE

2011 ◽  
Vol 26 (06) ◽  
pp. 415-421 ◽  
Author(s):  
PRASANTA MAHATO ◽  
PARTHA BHATTACHARYA
Keyword(s):  
Scalar Field ◽  
Equivalence Principle ◽  
Bianchi Identity ◽  
Diffeomorphism Invariance ◽  
Chern Simons ◽  
Strong Equivalence Principle

In the torsion ⊗ curvature approach of gravity Chern–Simons modification has been considered here. It has been found that Chern–Simons contribution to the Bianchi identity cancels from that of the scalar field part. But "homogeneity and isotropy" consideration of present day cosmology is a consequence of the "strong equivalence principle" and vice versa.

scholarly journals UNAVOIDABLE CONFLICT BETWEEN MASSIVE GRAVITY MODELS AND MASSIVE TOPOLOGICAL TERMS

2004 ◽  
Vol 19 (11) ◽  
pp. 817-826 ◽  
Author(s):  
ANTONIO ACCIOLY ◽  
MARCO DIAS
Keyword(s):  
Three Dimensional ◽  
Massive Gravity ◽  
Ricci Scalar ◽  
Gravity Models ◽  
Tree Level ◽  
Common Belief ◽  
Higher Derivative ◽  
The Common ◽  
Chern Simons ◽  
Topological Term

Massive gravity models in (2+1) dimensions, such as those obtained by adding to Einstein's gravity the usual Fierz–Pauli, or the more complicated Ricci scalar squared (R2), terms, are tree level unitary. Interesting enough these seemingly harmless systems have their unitarity spoiled when they are augmented by a Chern–Simons term. Furthermore, if the massive topological term is added to [Formula: see text] gravity, or to [Formula: see text] gravity (higher-derivative gravity), which are nonunitary at the tree level, the resulting models remain nonunitary. Therefore, unlike the common belief, as well as the claims in the literature, the coexistence between three-dimensional massive gravity models and massive topological terms is conflicting.

scholarly journals Quantum chaos in topologically massive gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Yan Liu ◽  
Avinash Raju
Keyword(s):  
Shock Wave ◽  
Black Holes ◽  
High Temperature ◽  
Temperature Regime ◽  
Quantum Chaos ◽  
Massive Gravity ◽  
Partial Match ◽  
The Relationship ◽  
Chern Simons ◽  
Topologically Massive Gravity

Abstract We study quantum chaos of rotating BTZ black holes in Topologically Massive gravity (TMG). We discuss the relationship between chaos parameters including Lyapunov exponents and butterfly velocities from shock wave calculations of out-of-time-order correlators (OTOC) and from pole-skipping analysis. We find a partial match between pole-skipping and the OTOC results in the high temperature regime. We also find that the velocity bound puts a chaos constraint on the gravitational Chern-Simons coupling.

scholarly journals Partially massless theory in three dimensions and self-dual massive gravity

2018 ◽  
Vol 33 (12) ◽  
pp. 1850067 ◽  
Author(s):  
Daniel Galviz ◽  
Adel Khoudeir
Keyword(s):  
Scalar Field ◽  
Physical System ◽  
Higher Dimensions ◽  
Massive Gravity ◽  
Degree Of Freedom ◽  
The Self ◽  
Three Dimensions ◽  
Massless Theory ◽  
Chern Simons ◽  
Topologically Massive Gravity

Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on (A)dS background. This fact can be generalized to higher dimensions. This degree of freedom is altered when a triadic Chern–Simons is introduced, giving rise to the self-dual massive gravity on (A)dS background. We present another physical system with partially massless symmetry and its connection with topologically massive gravity is discussed.

Holographic Wilson Loops in the Confining Backgrounds at Zero Temperature

2019 ◽  
Vol 29 (3SI) ◽  
pp. 371
Author(s):  
Anastasia A. Golubtsova ◽  
Nguyen Hoang Vu
Keyword(s):  
Renormalization Group ◽  
Wilson Loop ◽  
Wilson Loops ◽  
Holographic Model ◽  
Zero Temperature ◽  
Running Coupling ◽  
Exact Renormalization Group

We study Wilson loops in the exact renormalization group ow at zero tempera- ture via the 5d holographic model that reproduces the behavior of the QCD running coupling. Calculating the time-like rectangular Wilson loop we show that the model includes a conning phase at T = 0 in the IR region.

scholarly journals Disk Instantons, Mirror Symmetry and the Duality Web

2002 ◽  
Vol 57 (1-2) ◽  
pp. 1-28 ◽  
Author(s):  
Mina Aganagic ◽  
Albrecht Klemm ◽  
Cumrun Vafa
Keyword(s):  
Quantum Theory ◽  
Mirror Symmetry ◽  
Lagrangian Submanifolds ◽  
Simons Theory ◽  
Boundary Theory ◽  
Large N ◽  
M Theory ◽  
Chern Simons ◽  
Chern Simons Theory ◽  
Flat Coordinates

We apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of D-branes wrapped over Lagrangian cycles of non-compact Calabi-Yau 3-folds. Along the way we clarify the notion of “flat coordinates” for the boundary theory. We also discover an integer IR ambiguity needed to define the quantum theory of D-branes wrapped over non-compact Lagrangian submanifolds. In the large N dual Chern-Simons theory, this ambiguity is mapped to the UV choice of the framing of the knot. In a type IIB dual description involving (p; q) 5-branes, disk instantons of type IIA get mapped to (p; q) string instantons. The M-theory lift of these results lead to computation of superpotential terms generated by M2 brane instantons wrapped over 3-cycles of certain manifolds of G2 holonomy

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