Pallab Basu

Black hole/string transition for the small Schwarzschild black hole of AdS5× S5 and critical unitary matrix models

In this paper we discuss the black hole–string transition of the small Schwarzschild black hole of AdS5×S5 using the AdS/CFT correspondence at finite temperature. The finite temperature gauge theory effective action, at weak and strong coupling, can be expressed entirely in terms of constant Polyakov lines which are SU(N) matrices. In showing this we have taken into account that there are no Nambu–Goldstone modes associated with the fact that the 10-dimensional black hole solution sits at a point in S5. We show that the phase of the gauge theory in which the eigenvalue spectrum has a gap corresponds to supergravity saddle points in the bulk theory. We identify the third order N=∞ phase transition with the black hole–string transition. This singularity can be resolved using a double scaling limit in the transition region where the large N expansion is organized in terms of powers of N-2/3. The N=∞ transition now becomes a smooth crossover in terms of a renormalized string coupling constant, reflecting the physics of large but finite N. Multiply wound Polyakov lines condense in the crossover region. We also discuss the implications of our results for the resolution of the singularity of the lorenztian section of the small Schwarzschild black hole.

Quantum quench across a holographic critical point

A bstractWe study the problem of quantum quench across a critical point in a strongly coupled field theory using AdS/CFT techniques. The model involves a probe neutral scalar field with mass-squared m2 in the range −9/4 < m2< −3/2 in a AdS4 charged black brane background. For a given brane background there is a critical mass-squared,

Chaos rules out integrability of strings on AdS5×T1,1

m_c^2

R -charged AdS 5 black holes and large N unitary matrix models

such that for

Quantum quench across a zero temperature holographic superfluid transition

{m^2} < m_c^2

Analytic nonintegrability in string theory

the scalar field condenses. The theory is critical when

Chaos around holographic Regge trajectories

{m^2} = m_c^2

Integrability lost: Chaotic dynamics of classical strings on a confining holographic background

and the source for the dual operator vanishes. At the critical point, the radial operator for the bulk linearized problem has a zero mode. We study the dynamics of the order parameter with a time dependent source J (t), or a null-time dependent bulk mass m(u) across the critical point. We show that in the critical region the dynamics for an initially slow variation is dominated by the zero mode : this leads to an effective description in terms of a Landau-Ginsburg type dynamics with a linear time derivative. Starting with an adiabatic initial condition in the ordered phase, we find that the order parameter drops to zero at a time t⋆ which is later than the time when

Analytic Approaches to Anisotropic Holographic Superfluids

(m_c^2 - {m^2})

Towards A Holographic Model of Color Superconductivity

or J hits zero. In the critical region, t⋆, and the departure of the order parameter from its adiabatic value, scale with the rate of change, with exponents determined by static critical behavior. Numerical results for the order parameter are consistent with these expectations.