Abstract In this work we consider a spacial kind of spacetime called an anti-de Sitter accelerating black hole. This is a kind of black hole that contains a stringlike singularity along polar axes attached to the black hole that accelerates it. By using a string as a probe, we study the properties of the complexity growth of black holes following the complexity–action duality. We find that the growth in the Einstein–Hilbert action is independent of the acceleration but the string probe detects the effects of acceleration.

Japan

Koichi Nagasaki

Probe strings on anti-de Sitter accelerating black holes Do black holes destroy information? Complexity and Boost Symmetry Holographic Complexity in Charged Accelerating Black Holes Complexity of four-dimensional hairy Anti-de-Sitter black holes with a rotating string and shear viscosity in generalized scalar-tensor theories Complexity growth of massive black hole with a probe string

Abstract Our interest is in finding the difference in behavior between black holes with three different topologies. These black holes have spherical, hyperbolic and toroidal structures. We study in this paper the behavior of probe D5-branes in this nontrivial black hole spacetime. We would like to find the solution that describes the embedding of a probe D5-brane. This system realizes an “interface” solution, a kind of non-local operators, on the boundary gauge theories. These operators are important to deepen understanding of AdS/CFT correspondence.

D5-brane on topological black holes

Abstract We consider a defect solution in the anti-de Sitter (AdS) black hole spacetime. This is a generalization of the previous work [K. Nagasaki et al., J. High Energy Phys. 1201, 139 (2012)] to another spacetime. This system consists of D3- and D5-branes. The equation of motion for a sort of nonlocal operator, an “interface”, is given and its numerical solution is shown by the numerical calculation. We also consider a string extending between this interface and the boundary of the AdS spacetime. This corresponds to the quark–interface potential in the boundary theory of the bulk black hole spacetime. This result gives a new example of a holographic relation that includes the gauge flux in the probe D5-brane.

China

Interface in AdS black hole spacetime

A defect solution in the <math><mrow><msub><mrow><mi>AdS</mi></mrow><mrow><mn>5</mn></mrow></msub><mo>×</mo><msup><mi>S</mi><mn>5</mn></msup></mrow></math> black hole spacetime is given. This is a generalization of the previous work [, , and , J. High Eenergy Phys. 01 (2012) 139. ] to another spacetime which includes rotating black holes. The equation of motion for a sort of nonlocal operator, “an interface,” is given, and we solve it by the numerical calculation. This result gives a new example of nonequilibrium systems in the AdS/CFT including the gauge flux on the probe brane.

Interface in Kerr-AdS black hole spacetime

We study the effect of a probe string to black hole complexity according to the complexity equals action conjecture. Our system contains a particle moving on the boundary of black hole spacetime. In the dual description this corresponds to the insertion of a fundamental string on the bulk spacetime. The total action consists of the Einstein-Hilbert term and the Nambu-Goto term. The effect of this string is expressed by the Nambu-Goto term. Focusing on the Nambu-Goto term, we analyze the time development of this system. Our results show some interesting properties of complexity. This gives us a useful hint for defining complexity in quantum field theories.

Complexity growth of rotating black holes with a probe string

We consider charged rotating BTZ black holes in noncommutative space using a Chern–Simons theory formulation of -dimensional gravity. The noncommutativity between the radial and the angular variables is introduced through the Seiberg–Witten map for gauge fields, and the deformed geometry to the first order in the noncommutative parameter is derived. It is found that the deformation also induces nontrivial torsion, and Einstein–Cartan theory appears to be a suitable framework to investigate the equations of motion. Though the deformation is indeed nontrivial, the deformed and the original Einstein equations are found to be related by a rather simple coordinate transformation.

Taiwan

Shoichi Kawamoto

Wen-Yu Wen

Charged rotating BTZ black holes in noncommutative spaces and torsion gravity

By compactifying gauge theories on a lower dimensional manifold, we often find many interesting relationships between geometry and supersymmetric quantum field theories. In this paper we consider conformal field theories obtained from twisted compactification on a Riemann surface with a boundary. Various kinds of supersymmetric boundary conditions are exchanged under S-duality. To consider these transformations one need to take into account boundary degrees of freedom. So we study how these degrees of freedom can be added at the boundary of the Riemann surface. For these the boundary fields to be added it is convenient to rewrite the theory by means of superfields. Therefore, I show in this paper that the 4d SYM action can be surely expressed as 2d superfields.