10,451 research outputs found
A note on q-analogue of Boole polynomials
In this paper, we consider the q-extensions of Boole polynomials. From those
polynomials, we derive some new and interesting properties and identities
related to special polynomials.Comment: 11 page
Barnes-type Daehee polynomials
In this paper, we consider Barnes-type Daehee polynomials of the first kind
and of the second kind. From the properties of Sheffer sequences of these
polynomials arising from umbral calculus, we derive new and interesting
identities.Comment: 34 page
Thermoelectric Conductivities at Finite Magnetic Field and the Nernst Effect
We study the thermoelectric conductivities of a strongly correlated system in
the presence of a magnetic field by the gauge/gravity duality. We consider a
class of Einstein-Maxwell-Dilaton theories with axion fields imposing momentum
relaxation. General analytic formulas for the direct current(DC) conductivities
and the Nernst signal are derived in terms of the black hole horizon data. For
an explicit model study, we analyse in detail the dyonic black hole modified by
momentum relaxation. In this model, for small momentum relaxation, the Nernst
signal shows a bell-shaped dependence on the magnetic field, which is a feature
of the normal phase of cuprates. We compute all alternating current(AC)
electric, thermoelectric, and thermal conductivities by numerical analysis and
confirm that their zero frequency limits precisely reproduce our analytic DC
formulas, which is a non-trivial consistency check of our methods. We discuss
the momentum relaxation effects on the conductivities including cyclotron
resonance poles.Comment: v3: Minor chages, discussions clarified, version accepted in JHE
Gauge Invariance and Holographic Renormalization
We study the gauge invariance of physical observables in holographic theories
under the local diffeomorphism. We find that gauge invariance is intimately
related to the holographic renormalisation: the local counter terms defined in
the boundary cancel most of gauge dependences of the on-shell action as well as
the divergences. There is a mismatch in the degrees of freedom between the bulk
theory and the boundary one. We resolve this problem by noticing that there is
a residual gauge symmetry(RGS). By extending the RGS such that it satisfies
infalling boundary condition at the horizon, we can understand the problem in
the context of general holographic embedding of a global symmetry at the
boundary into the local gauge symmetry in the bulk.Comment: 14 pages, v2: minor changes, typos corrected, references adde
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