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A holographic perspective to study and characterize field spaces that arise in string compactifications is suggested. A concrete correspondence is developed by studying two-dimensional moduli spaces in supersymmetric string…

High Energy Physics - Theory · Physics 2021-12-21 Thomas W. Grimm

We review the theory and phenomenology of effective supergravity theories based on orbifold compactifications of the weakly-coupled heterotic string. In particular, we consider theories in which the four-dimensional theory displays target…

High Energy Physics - Theory · Physics 2010-10-27 Mary K. Gaillard , Brent D. Nelson

The standard formulation of gauge theories results from the Lagrangian (functional integral) quantization of classical gauge theories. A more intrinsic qunantum theoretical access in the spirit of Wigner's representation theory shows that…

Mathematical Physics · Physics 2011-09-08 Bert Schroer

We use the twistorial construction of D-instantons in Calabi-Yau compactifications of type II string theory to compute an explicit expression for the metric on the hypermultiplet moduli space affected by these non-perturbative corrections.…

High Energy Physics - Theory · Physics 2015-06-23 Sergei Alexandrov , Sibasish Banerjee

Using D3/D(-1) brane set-up in type IIB string theory we introduce gauge-stringy instantons in N=2 U(N) supersymmetry theories with one matter multiplet in symmetric representation. In addition to the gauge and stringy moduli there exist…

High Energy Physics - Theory · Physics 2015-06-16 Hossein Ghorbani

Local and global properties of the moduli space of Calabi--Yau type compactifications determine the low energy parameters of the string effective action. We show that the moduli space geometry is entirely encoded in the Picard--Fuchs…

High Energy Physics - Theory · Physics 2016-09-06 R. D'Auria , S. Ferrara

A defining feature of holographic dualities is that, along with the bulk equations of motion, boundary correlators at any given time t determine those of observables deep in the bulk. We argue that this property emerges from the bulk…

High Energy Physics - Theory · Physics 2015-06-16 Donald Marolf

A solution of the vortex type is given in a six-dimensional $SU(2)\times U(1)$ pure gauge theory coupled to Einstein gravity in a compactified background geometry. We construct the solution of an effective abelian Higgs model in terms of…

High Energy Physics - Theory · Physics 2019-05-02 Atsushi Nakamula , Satoru Hirenzaki , Kiyoshi Shiraishi

We consider the type II superstring compactified on Calabi-Yau threefolds at finite temperature. The latter is implemented at the string level by a free action on the Euclidean time circle. We show that all Kahler and complex structure…

High Energy Physics - Theory · Physics 2015-06-03 Lihui Liu , Herve Partouche

The Hamiltonian analysis of Polyakov action is reviewed putting emphasis in two topics: Dirac observables and gauge conditions. In the case of the closed string it is computed the change of its action induced by the gauge transformation…

High Energy Physics - Theory · Physics 2007-05-23 Merced Montesinos , Jose David Vergara

We describe a new kind of transition between topologically distinct $N=2$ type II Calabi--Yau vacua through points with enhanced non-abelian gauge symmetries together with fundamental charged matter hypermultiplets. We connect the…

High Energy Physics - Theory · Physics 2009-10-30 P. Berglund , S. Katz , A. Klemm , P. Mayr

We prove a theorem which asserts that the Lie algebra of all holomorphic vector fields on a compact K\"ahler manifold with a perturbed extremal metric has the structure similar to the case of an unperturbed extremal K\"ahler metric proved…

Differential Geometry · Mathematics 2007-05-23 Akito Futaki

A relativistic string is usually represented by the Nambu-Goto action in terms of the extremal area of a 2-dimensional timelike submanifold of Minkowski space. Alternatively, a family of classical solutions of the string equation of motion…

High Energy Physics - Theory · Physics 2009-10-22 A. Aurilia , A. Smailagic , E. Spallucci

In this paper, we study the local properties of the moduli space of a polarized Calabi-Yau manifold. Let $U$ be a neighborhood of the moduli space. Then we know the universal covering space $V$ of $U$ is a smooth manifold. Suppose $D$ is…

Differential Geometry · Mathematics 2007-05-23 Zhiqin Lu

We present ADHM-Nahm data for instantons on the Taub-NUT space and encode these data in terms of Bow Diagrams. We study the moduli spaces of the instantons and present these spaces as finite hyperkahler quotients. As an example, we find an…

High Energy Physics - Theory · Physics 2009-07-22 Sergey A. Cherkis

We establish the existence of complete K\"ahler metrics of semi-positive holomorphic sectional curvature with many zeroes in an interesting and natural geometric setting. Specifically, we use Calabi's Ansatz in the form due to Koiso-Sakane…

Differential Geometry · Mathematics 2023-08-25 Minzi Chen , Gordon Heier

We find charged, abelian, spherically symmetric solutions (in flat space-time) corresponding to the effective action of $D=4$ heterotic string theory with scale-dependent dilaton $\p$ and modulus $\vp$ fields. We take into account…

High Energy Physics - Theory · Physics 2009-09-17 M. Cvetic , A. A. Tseytlin

The hypermultiplet moduli space M_H in type II string theories compactified on a Calabi-Yau threefold X is largely constrained by supersymmetry (which demands quaternion-K\"ahlerity), S-duality (which requires an isometric action of SL(2,…

High Energy Physics - Theory · Physics 2015-03-30 Sergei Alexandrov , Jan Manschot , Daniel Persson , Boris Pioline

Many N=(2,2) two-dimensional nonlinear sigma models with Calabi-Yau target spaces admit ultraviolet descriptions as N=(2,2) gauge theories (gauged linear sigma models). We conjecture that the two-sphere partition function of such…

High Energy Physics - Theory · Physics 2014-01-03 Hans Jockers , Vijay Kumar , Joshua M. Lapan , David R. Morrison , Mauricio Romo

We consider an Abelian Gauge Theory in R4 equipped with the Minkowski metric. This theory leads to a system of equations, the Klein-Gordon- Maxwell equations, which provide models for the interaction between the electromagnetic field and…

Mathematical Physics · Physics 2009-03-20 Vieri Benci , Donato Fortunato