Recently the paper "Schwinger Mechanism for Gluon Pair Production in thePresence of Arbitrary Time Dependent Chromo-Electric Field" by G. C. Nayak waspublished [Eur. Phys. J. C 59, 715 (2009); ]. Its aim is toobtain an exact expression for the probability

We describe wall-crossing for local, toric Calabi-Yau manifolds withoutcompact four-cycles, in terms of free fermions, vertex operators, and crystalmelting. Firstly, to each such manifold we associate two states in the freefermion Hilbert space. The overlap of these states reproduces the

We propose a generalization of the topological vertex, which we call the"non-commutative topological vertex". This gives open BPS invariants for atoric Calabi-Yau manifold without compact 4-cycles, where we haveD0/D2/D6-branes wrapping holomorphic 0/2/6-cycles, as well as D2-braneswrapping disks whose boundaries are

We propose an explicit non-linear realization of massive gravity which ismanifestly invariant under four-dimensional diffeomorphism. This model relieson the introduction of a spurious compact extra dimension, on which we imposehalf-Newmann and half-Dirichlet boundary conditions. At the linearized level,we recover the

Maximally supersymmetric theories can be described by a single scalarsuperfield in light-cone superspace. When they are also (super)conformallyinvariant, they are uniquely specified by the form of the dynamicalsupersymmetry. We present a simple algorithm of deriving the light-conesuperspace expression for the

The most general spherically symmetric solution with zero shift is found inthe non-projectable Horava-Lifshitz class of theories with general couplingconstants. It contains as special cases, spherically symmetric solutions foundby other authors earlier. It is found that the generic solution hasconventional

We analyze non-perturbative corrections to the superpotential of 7-branesgauge theories on type IIB and F-theory warped Calabi-Yau compactifications. Weshow in particular that such corrections modify the holomorphic Yukawacouplings by an exponentially suppressed contribution, generically solving theYukawa rank-one problem present in

It is well known that in the weak coupling regime, quantum field theories inde Sitter space do not have a unique vacuum, but a class of vacua parametrizedby a complex parameter $\alpha$, i.e., the so-called $\alpha$-vacua. In thisarticle, using gauge/gravity

In the case of SU(2), associated by the AGT relation to the 2d Liouvilletheory, the Seiberg-Witten prepotential is constructed from the Bohr-Zommerfeldperiods of 1d sine-Gordon model. If the same construction is literally appliedto monodromies of exact wave functions, the prepotential

Drummond had proposed four actions for Polchinski-Strominger effective stringtheories at order $R^{-6}$, where $2\pi R$ is the length of the (closed) string>. In thispaper we show, based on covariance arguments, that only two of themare independent. We analyse the spectral

The spectrum of a Polchinski-Strominger type effective string theory,extended to all orders, herein called an effective string theory of the\emph{Polyakov-Liouville Type} (for obvious reasons) is investigated to allorders in the small parameter $R^{-1}$. Here $R$ is the length of the\emph{closed}

The low momentum behavior of the Landau gauge Gribov-Zwanziger action isinvestigated using the respective Dyson-Schwinger equations. Due to the mixingof the gluon and the auxiliary fields four scenarios can be distinguished forthe infrared behavior. Two of them lead to inconsistencies

We study the effects of N=4 topological string amplitudes on the entropy ofblack holes. We analyse the leading contribution associated to six-derivativeterms and find one particular operator which can correct the entropy of N=4black holes. This operator is BPS-like and

A noteworthy feature of the S-matrix which has been proposed for AdS4/CFT3 isthat the scattering of an A-particle ("soliton") with a B-particle("antisoliton") is reflectionless. We argue, following Zamolodchikov, that theabsence of reflection is a result of the existence of certain

We develop a new method to obtain an universal form of the quantum correctionof black hole entropy, which always has a logarithmic term of leading order.This method is based on the property that entropy $S$ is a state function(i.e., $dS$

We consider the holographic anyons in the ABJM theory from three differentaspects of AdS/CFT correspondence. First, we identify the holographic anyons byusing the field equations of supergravity, including the Chern-Simons termscoupled to the probe branes. We find that the composite

In this paper we study the radiation measured by an accelerated detector,coupled to a scalar field, in the presence of a fundamental minimal length. Thelatter is implemented by means of a modified momentum space Green's function.After calibrating the detector, we

A constrained superfield formalism has been proposed recently to analyze thelow energy physics related to Goldstinos. We prove that this formalism can bereformulated in the language of standard realization of nonlinearsupersymmetry. New relations have been uncovered in the standard realization

We consider the dynamics of the supersymmetry-breaking scalar field and theproduction of dark matter gravitinos via its decay in a gauge-mediatedsupersymmetry breaking model with metastable vacuum. We find that the scalarfield amplitude and gravitino density are extremely sensitive to the

We use the holographic AdS/QCD soft-wall model to investigate the spectrum ofscalar glueballs in a finite temperature plasma. In this model, glueballs aredescribed by a massless scalar field in an AdS_5 black hole with a dilatonsoft-wall background. Using AdS/CFT prescriptions,