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Assume that $M$ is a compact Riemannian manifold of bounded geometry given by restrictions on its diameter, Ricci curvature and injectivity radius. Assume we are given, with some error, the first eigenvalues of the Laplacian $\Delta_g$ on…

Analysis of PDEs · Mathematics 2020-01-01 Roberta Bosi , Yaroslav Kurylev , Matti Lassas

Let $(X,\alpha)$ be a K\"ahler manifold of dimension n, and let $[\omega] \in H^{1,1}(X,\mathbb{R})$. We study the problem of specifying the Lagrangian phase of $\omega$ with respect to $\alpha$, which is described by the nonlinear elliptic…

Differential Geometry · Mathematics 2015-08-11 Tristan C. Collins , Adam Jacob , Shing-Tung Yau

We use holographic techniques to study SU(Nc) super Yang-Mills theory coupled to Nf << Nc flavours of fundamental matter at finite temperature and baryon density. We focus on four dimensions, for which the dual description consists of Nf…

High Energy Physics - Theory · Physics 2010-10-27 Shinpei Kobayashi , David Mateos , Shunji Matsuura , Robert C. Myers , Rowan M. Thomson

A number of N=2 gauge theories can be realized by brane configurations in Type IIA string theory. One way of solving them involves lifting the brane configuration to M-theory. In this paper we present an alternative way of analyzing a…

High Energy Physics - Theory · Physics 2009-10-31 Anton Kapustin

In the first part of the review article, we discuss the possibility of realizing "mu-split-like SUSY" scenario from a phenomenological model, which we show could be realizable locally as the large volume limit of a type IIB Swiss-Cheese…

High Energy Physics - Phenomenology · Physics 2014-09-05 Mansi Dhuria

In the first part of this paper, we obtain mirror formulas for twisted genus 0 two-point Gromov-Witten (GW) invariants of projective spaces and for the genus 0 two-point GW-invariants of Fano and Calabi-Yau complete intersections. This…

Algebraic Geometry · Mathematics 2013-02-27 Alexandra Popa , Aleksey Zinger

The M2-brane is studied from the perspective of superembeddings. We review the derivation of the M2-brane dynamics and the supergravity constraints from the standard superembedding constraint and we discuss explicitly the induced d=3, N=8…

High Energy Physics - Theory · Physics 2009-11-10 P. S. Howe , E. Sezgin

We study the dynamics of 5-dimensional gauge theory on $M_4\times S^1$ by compactifying type II/M theory on degenerate Calabi-Yau manifolds. We use the local mirror symmetry and shall show that the prepotential of the 5-dimensional SU(2)…

High Energy Physics - Theory · Physics 2010-11-19 Tohru Eguchi , Hiroaki Kanno

We present high-reflectivity substrate-transferred single-crystal GaAs/AlGaAs interference coatings at a center wavelength of 4.54 um with record-low excess optical loss below 10 parts per million. These high-performance mirrors are…

We study electric-magnetic duality in compactifications of M-theory on twisted connected sum (TCS) $G_2$ manifolds via duality with F-theory. Specifically, we study the physics of the D3-branes in F-theory compactified on a Calabi-Yau…

High Energy Physics - Theory · Physics 2023-05-10 James Halverson , Benjamin Sung , Jiahua Tian

Starting from mirror pairs consisting only of linear (framed A-type) quivers, we demonstrate that a wide class of three-dimensional quiver gauge theories with N=4 supersymmetry and their mirror duals can be obtained by suitably gauging…

High Energy Physics - Theory · Physics 2014-07-16 Anindya Dey , Amihay Hanany , Peter Koroteev , Noppadol Mekareeya

We investigate nonperturbative effects in M-theory compactifications arising from wrapped membranes. In particular, we show that in $d=4, \mathcal{N}=1$ compactifications along manifolds of $G_2$ holonomy, membranes wrapped on rigid…

High Energy Physics - Theory · Physics 2017-09-07 J. A. Harvey , G. Moore

In order to understand thermodynamical properties of N D-branes with chemical potentials associated with R-symmetry charges, we study a one dimensional large N gauge theory (bosonic BFSS type model) as a first step. This model is obtained…

High Energy Physics - Theory · Physics 2014-11-21 Takeshi Morita

Based on possible albeit tiny, admixtures of mirror matter in ordinary mesons we study the K_L \to \gamma\gamma transition. We find that this process can be described with a small SU(3) symmetry breaking of only 3%. We also determine the…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. Sanchez-Colon , A. Garcia

We consider two classes of backgrounds of Type IIB supergravity obtained by wrapping D5-branes on a two-cycle inside the conifold. The field theory dual exhibits confinement and, in addition, a region in which the dynamics is walking, at…

High Energy Physics - Theory · Physics 2014-03-05 Anton F. Faedo , Maurizio Piai , Daniel Schofield

This article gives details of our proposal to replace ordinary chiral $SU(3)_L\times SU(3)_R$ perturbation theory $\chi$PT$_3$ by 3-flavor chiral-scale perturbation theory $\chi$PT$_\sigma$. In $\chi$PT$_\sigma$, amplitudes are expanded at…

High Energy Physics - Phenomenology · Physics 2015-02-25 R. J. Crewther , Lewis C. Tunstall

We study the dynamics of probe D7 $\overline{\rm D7}$ flavor probe branes in the background of near extremal D5 branes. This model is a holographic dual to a gauge theory with spontaneous breaking of a $U(N_f)_L\times U(N_f)_R$ chiral…

High Energy Physics - Theory · Physics 2009-10-07 Benjamin A. Burrington , Jacob Sonnenschein

We present a detailed study of D-brane superpotentials depending on several open and closed-string deformations. The relative cohomology group associated with the brane defines a generalized hypergeometric GKZ system which determines the…

High Energy Physics - Theory · Physics 2011-06-28 Murad Alim , Michael Hecht , Hans Jockers , Peter Mayr , Adrian Mertens , Masoud Soroush

We analyze D-brane states and their central charges on the resolution of C^2/Z_n by using local mirror symmetry. There is a point in the moduli space where all n(n-1)/2 branches of the principal component of the discriminant locus coincide.…

High Energy Physics - Theory · Physics 2010-02-03 H. Skarke

We study a multi-species spin glass system where the density of each species is kept fixed at increasing volumes. The model reduces to the Sherrington-Kirkpatrick one for the single species case. The existence of the thermodynamic limit is…

Mathematical Physics · Physics 2014-04-14 Adriano Barra , Pierluigi Contucci , Emanuele Mingione , Daniele Tantari