20 research outputs found
Magnetic response of holographic Lifshitz superconductors:Vortex and Droplet solutions
In this paper a holographic model of -wave superconductor with anisotropic
Lifshitz scaling has been considered. In the presence of an external magnetic
field our holographic model exhibits both vortex and droplet solutions. Based
on analytic methods we have shown that the anisotropy has no effect on the
vortex and droplet solutions whereas it may affect the condensation. Our vortex
solution closely resembles the Ginzburg-Landau theory and a relation between
the upper critical magnetic field and superconducting coherence length has been
speculated from this comparison. Using Sturm-Liouville method, the effect of
anisotropy on the critical parameters in insulator/superconductor phase
transitions has been analyzed.Comment: 11 pages, no figure, Accepted for publication in Phys. Lett.
Critical phenomena in higher curvature charged AdS black holes
In this paper we have studied the critical phenomena in higher curvature
charged black holes in the anti-de Sitter (AdS) space-time. As an example we
have considered the third order Lovelock-Born-Infeld black holes in AdS
space-time. We have analytically derived the thermodynamic quantities of the
system. Our analysis revealed the onset of a higher order phase transition in
the black hole leading to an infinite discontinuity in the specific heat at
constant charge at the critical points. Our entire analysis is based on the
canonical framework where we have fixed the charge of the black hole. In an
attempt to study the behavior of the thermodynamic quantities near the critical
points we have derived the critical exponents of the system explicitly.
Although the values of the critical points have been determined numerically,
the critical exponents are calculated analytically. Our results fit well with
the thermodynamic scaling laws. The scaling hypothesis is also seen to be
consistent with these scaling laws. We find that all types of AdS black holes,
studied so far, indeed belong to the same universality class. Moreover these
results are consistent with the mean field theory approximation. We have
derived the suggestive values of the other two critical exponents associated
with the correlation function and correlation length on the critical surface.Comment: LaTex, 29 pages, 14 figures, modified version, accepted for
publication in the Advances in High Energy Physic
On the Exchange Interactions in Holographic p-adic CFT
There is a renewed interest in conformal field theories (CFT) on ultrametric
spaces (p-adic field and its algebraic extensions) in view of their natural
adaptability in the holographic setting. We compute the contributions from the
exchange interactions to the four-point correlator of the CFT using Witten
diagrams with three-scalar interaction vertex. Together with the contributions
from the bulk four-point interaction, the contact term, these provide a
complete answer. We remark on the singularity structure in Mellin space, and
argue that all these models are analogues of adS_2/CFT_1.Comment: 1+12 pages, 7 figures (an error in the interpretation of the
spectrum, and typos, corrected; text modified accordingly, and
acknowledgement added
Holographic s-wave condensate with non-linear electrodynamics: A nontrivial boundary value problem
In this paper, considering the probe limit, we analytically study the onset
of holographic s-wave condensate in the planar Schwarzschild-AdS background.
Inspired by various low energy features of string theory, in the present work
we replace the conventional Maxwell action by a (non-linear) Born-Infeld (BI)
action which essentially corresponds to the higher derivative corrections of
the gauge fields. Based on a variational method, which is commonly known as the
Sturm-Liouville (SL) eigenvalue problem and considering a non-trivial
asymptotic solution for the scalar field, we compute the critical temperature
for the s-wave condensation. The results thus obtained analytically agree well
with the numerical findings\cite{hs19}. As a next step, we extend our
perturbative technique to compute the order parameter for the condensation.
Interestingly our analytic results are found to be of the same order as the
numerical values obtained earlier.Comment: Minor revision, accepted for publication in Phys. Rev.
Integrability and non-integrability for marginal deformations of 4d SCFTs
We study integrability and non-integrability for marginal deformations of 4d
SCFTs. We estimate various chaos indicators for the bulk theory
which clearly shows the onset of a chaotic string dynamics in the limit of
large deformations. On the other hand, for small values of the deformation
parameter, the resulting dynamics exhibits a non-chaotic motion and therefore
presumably an underlying integrable structure. Our analysis reveals that the
-deformation in the type-IIA theory could be interpreted as an
interpolation between a class of integrable SCFTs and a class
of non-integrable SCFTs at strong coupling. We also generalise
our results in the presence of the flavor branes.Comment: 1+19 pages; 17 Figs; v
Analytic (non)integrability of Arutyunov-Bassi-Lacroix model
We use the notion of the gauge/string duality and discuss the Liouvillian
(non) integrability criteria for string sigma models in the context of recently
proposed Arutyunov-Bassi-Lacroix (ABL) model [JHEP \textbf{03} (2021), 062].
Our analysis complements those previous results due to numerical analysis as
well as Lax pair formulation. We consider a winding string ansatz for the
deformed torus T^{\qty(\lambda_{1},\lambda_{2},\lambda)}_{k} which can be
interpreted as a system of coupled pendulums. Our analysis reveals the
Liouvillian nonintegrablity of the associated sigma model. We also obtain the
\emph{generalized} decoupling limit and confirm the analytic integrability for
the decoupled sector.Comment: 12 pages; One reference added; Accepted for publication in Physics
Letters B (PLB