Propagators for massive symmetric tensor and p-forms in AdS(d+1)

We construct propagators in Euclidean AdS(d+1) space-time for massive p-forms and massive symmetric tensors.Comment: 22 page

Some Aspects of the AdS/CFT Correspondence

This is a very brief review of some aspects of the AdS/CFT correspondence with an emphasis on the role of the topology of the boundary and the meaning of the sum over bulk geometries. To appear in the proceedings of the 73rd Meeting between Physicists and Mathematicians ``(A)dS/CFT correspondence,'' Strasbourg, September 11-13, 2003.Comment: LaTeX, 32 pages, 1 figure. To appear in the proceedings of the 73rd Meeting between Physicists and Mathematicians ``(A)dS/CFT correspondence,'' Strasbourg, September 11-13, 2003. v3: minor changes and references adde

Instabilities of the Small Black Hole: a view from N=4 SYM

We compute a one-loop effective action for the constant modes of the scalars and the Polyakov loop matrix of N=4 SYM on S^3 at finite temperature and weak 't Hooft coupling. Above a critical temperature, the effective potential develops new unstable directions accompanied by new saddle points which only preserve an SO(5) subgroup of the SO(6) global R-symmetry. We identify this phenomenon as the weak coupling version of the well known Gregory-Laflamme localization instability in the gravity dual of the strongly coupled field theory: The small AdS_5 black hole when viewed as a ten dimensional, asymptotically AdS_5 X S^5 solution smeared on the S^5 is unstable to localization on S^5. Our effective potential, in a specific Lorentzian continuation, can provide a qualitative holographic description of the decay of the "topological black hole'' into the AdS bubble of nothing.Comment: 39 pages, 6 figures, uses JHEP3.cls, references adde

A Non-Supersymmetric Large-N 3D CFT And Its Gravity Dual

We propose a three dimensional non-supersymmetric theory that is conformal in the large N limit. In a certain well defined bosonic sub-sector of gauge invariant operators, this theory is planar equivalent to the theory recently proposed by Aharony, Bergman, Jafferis and Maldacena as the theory on multiple M2 branes at an orbifold singularity. We discuss the realization of the theory on a brane configuration of type 0B string theory. Moreover, we propose an 11D gravity dual, obtained by a projection of M-theory on AdS4 x S7 / Z_k.Comment: 11 pages, LaTex. 2 eps figures. v2: minor changes, references added. v3: version to appear in JHE

N=4 SYM on S^3 with Near Critical Chemical Potentials

We study the N = 4 theory at weak coupling, on a three sphere in the grand canonical ensemble with R symmetry chemical potentials. We focus attention on near critical values for the chemical potentials, above which the classical theory has no ground state. By computing a one loop effective potential for the light degrees of freedom in this regime, we show the existence of flat directions of complex dimension N, 2N and 3N for one, two and three critical chemical potentials respectively; these correspond to one half, one quarter and one-eighth BPS states becoming light respectively at the critical values. At small finite temperature we show that the chemical potentials can be continued beyond their classical limiting values to yield a deconfined metastable phase with lifetime diverging in the large N limit. Our low temperaure analysis complements the high temperature metastability found by Yamada and Yaffe. The resulting phase diagram at weak coupling bears a striking resemblance to the strong coupling phase diagram for charged AdS black holes. Our analysis also reveals subtle qualitative differences between the two regimes.Comment: 34 pages, 4 figure

The propagator for a general form field in AdSd+1AdS_{d+1}

Using the known propagator equations for 0,1 and 2 forms in AdS_{d+1}, we find the p-form field propagator equations in dimensions where the forms are Poincare dual. Since the general equation obeyed by the propagators is linear in dimension, this gives us the equation obeyed by the propagators for any d. Furthermore, based on the Poincare duality formulas for 0,1,2 and 3 forms we conjecture the general form of the Poincare duality formulas, and check them against the previously found propagator equations. The whole structure is self-consistent. Once we have the equations, we can easily obtain all the p-form field propagators in AdS_{d+1}. The generalization to massive p-forms can also be easily done.Comment: Extra chapter added on massive p-forms. 10 pages, REVTE

Climate Changes and its Impact on the Agriculture Sector in Selected South Asian Countries

This study depicts an inclusive estimation of climate variation and its effects on agriculture sector in theselected South Asian countries (India, Bangladesh, Pakistan, Nepal, Bhutan and Sri-Lanka) over the period of 1990-2014. Agriculture sector plays vigorous role in the economy of selected South Asian states because more than 60%people work in this sector. The rapid growth of industrialization and weather variation causes the raise of thetemperature level by which reduce production of agriculture crops and the people face heavy losses. Therefore, mainobjective of this study is to detect the influence of the global weather variation in agriculture sector of selected SouthAsian countries. Agriculture sector is used as dependent variable. CO2 emission, gross capital formation, labor forceand temperature are used as explanatory variables. Auto regressive distributed lag model is employed to examine theinfluence of climate variation on the agricultural sector. For analysis panel data were collected from selected SouthAsian countries. The existence of the short and long term relationship between dependent and independent variables isalso assessed by this model. Thus, findings show the climate variation has significant effect on the agricultural sector.In a policy recommendation, government should use sector-wise policies and friendly environmental policies whichminimize the negative effect of climate change

Phase Transitions of Orientifold Gauge Theories at Large N in Finite Volume

In this paper we consider the phase structure of ``orientifold'' gauge theories--obtained from unitary supersymmetric gauge theories by replacing adjoint Majorana fermions by Dirac fermions in the symmetric or anti-symmetric representations--in finite volume S^3 x S^1. If the radius of the S^3 is small the calculations can be performed at weak coupling for any value of the S^1 radius. We demonstrate that there is a confinement/de-confining type of phase transition even when the fermions have periodic (non-thermal) boundary conditions around S^1. At small radius of S^1, the theory is in a phase where charge conjugation and large non-periodic gauge transformation are spontaneously broken. But for large radius of S^1 the phase preseves these symmetries just as in the related supersymmetric theory.Comment: 12 page