Rotating and Orbiting Strings in Dp-brane background

We probe the open fundamental strings in Dp-brane (p=1, 3, 5) backgrounds and find new classes of rotating and orbiting string solutions. We show that for various worldsheet embedding ansatz we get solutions of the string equations of motion that correspond to the well known giant magnon and single spikes, in addition to few new solutions corresponding to the orbiting strings. We make a systematic study of both rigidly rotating and orbiting strings in D1, D3 and D5-brane backgrounds.Comment: 27 page

Semiclassical Strings in Supergravity PFT

Puff Field Theory (PFT) is an example of a non-local field theory which arises from a novel embedding of D-branes in Melvin universe. We study several rotating and pulsating string solutions of the F-string equations of motion in the supergravity dual of the PFT. Further, we find a PP-wave geometry from this nonlocal spacetime by applying a Penrose limit and comment on its similarity with the maximally supersymmetric PP-wave background.Comment: 21 pages, added clarification

On multi-spin classical strings with NS-NS flux

We study multi spin semiclassical strings in $AdS_3\times S^3 \times T^4$ background supported by a mixture of Neveu-Schwarz-Neveu-Schwarz (NS-NS) and Ramond-Ramond (R-R) fluxes. This `mixed flux' background has been recently proved to be classically integrable. We start with a particular rigidly spinning fundamental string in $AdS_3\times S^1$ coupled to the NS-NS flux and classify the possible profiles. We also find out how the scaling relation among the energy and angular momenta of such a string changes due to presence of these fluxes. We emphasize on pure NS-NS flux case and discuss the fate of such solutions in that limit.Comment: 22 pages, 4 figure

On the Zariski-Lipman conjecture for normal algebraic surfaces

We consider the Zariski-Lipman Conjecture on free module of derivations for algebraic surfaces. Using the theory of non-complete algebraic surfaces, and some basic results about ruled surfaces, we will prove the conjecture for several classes of affine and projective surfaces.Comment: Final version; to appear in Jour. London Math. So

Pulsating strings in I-brane background

We study pulsating strings both on a single stack of NS5-branes and two orthogonal stacks of NS5-branes (the so called I-brane) by using the Polyakov form of the fundamental string action. For the I-brane background, by using a symmetry that decouples the two spheres from the flat geometry, we study pulsating solutions of the string when it pulsates on both the spheres independently and simultaneously. We finally derive the energy of pulsating strings as a function of adiabatic invariant oscillation number in these cases and studied some limiting cases in detail.Comment: 24 pages, 6 figure

A comparative study of clinical outcomes of post placental insertion versus interval insertion of Copper T 380A intrauterine device

Background: The objective of this study was to study the safety and efficacy of PPIUCD insertion and to compare it with interval insertion.Methods: A prospective study was conducted enrolling 100 women as study group (PPIUCD) and 100 as control group (interval CuT insertion). All women were followed up for 6 months and clinical outcomes were measured in terms of safety, efficacy, effect on menstrual cycles and continuation rates. Chi square test was used to detect differences in the rate of clinical outcomes, and P <0.05 was considered statistically significant.Results: Spontaneous expulsions were more in study group, but the difference was not significant. Number of women having missing thread was significantly higher in study group. Total number of CuT removals and incidence of pelvic infection were significantly higher in controls. Number of women complaining of menorrhagia were more in control group and continuation rate at 6 months was higher in study group, but this difference was not statistically significant. No case of pregnancy or perforation occurred in either group.Conclusions: PPIUCD is an effective, safe, convenient, low cost and long term method of post-partum contraception

N spike D-strings in AdS Space with mixed flux

We use Dirac-Born-Infeld action to study the spinning D-string in $AdS_3$ background in the presence of both NS-NS and RR fluxes. We compute the scaling relation between the energy (E) and spin (S) in the `long string limit'. The energy of these spiky string is found to be a function of spin with the leading logarithmic behaviour and the scaling relation appears to be independent of the amount of flux present. We further discuss folded D-string solutions in $AdS_3$ background with pure NS-NS and R-R fluxes.Comment: 27 pages, 12 figure

Evaluation of the incidence and outcome of gestational diabetes mellitus using the current international consensus guidelines for diagnosing hyperglycaemia in pregnancy

Background: GDM is defined as carbohydrate intolerance of variable severity with onset or first recognition during pregnancy. It may be appropriate to screen pregnant women belonging to high-risk populations during the first trimester of pregnancy in order to detect previously undiagnosed Diabetes Mellitus. Formal systematic testing for Gestational Diabetes is usually done between 24 to 28 weeks of gestation. Even though there are many diagnostic criteria and guidelines for management of GDM, there still exists lack of consensus regarding diagnosis and management of patients with GDM. After HAPO study, IADPSG has formulated a new consensus guideline for diagnosing hyperglycaemia in pregnancy which has formed the back bone for this particular study.Methods: This prospective observational study was carried out for a period of one year from July 2014 to Jun 2015 at AFMC, Pune in Dept. of Obstetrics & Gynaecology. To determine if gestational diabetes is present in pregnant women, a standard OGTT was performed with 75 g glucose. The incidence of GDM in antenatal population visiting AFMC, Pune was calculated. Maternal and neonatal outcome was observed and was compared with those of euglycaemic antenatal population.Results: The incidence of GDM in the antenatal population visiting AFMC, Pune was found to be 12.4%. Family history of Diabetes among first degree relatives is the commonest risk factor associated with GDM. It was found that, with adequate glycaemic control, most of the maternal as well as neonatal complications associated with GDM can be reduced to a level comparable with euglycaemic antenatal population.Conclusions: The new international consensus guideline in diagnosing GDM has shown an incidence of GDM comparable with other criteria for diagnosing GDM. Ensuring an adequate glycaemic control throughout the antenatal period alleviates most of the maternal and neonatal complications associated with GDM