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In this note I review the role played by dualities in the Supermembrane Theory compactified on a torus. Supermembrane theory realize S, T, so U-duality, as exact symmetries of the theory. There are two well defined sectors: with and without…

高能物理 - 理论 · 物理学 2012-11-28 M. P. Garcia del Moral

The hybrid formalism is used to quantize the superstring compactified to two-dimensional target-space in a manifestly spacetime supersymmetric manner. A quantizable sigma model action is then constructed for the Type II superstring in…

高能物理 - 理论 · 物理学 2014-11-18 Nathan Berkovits , Sergei Gukov , Brenno Carlini Vallilo

We investigate S^3/Z_n partition function of 3d N = 2 supersymmetric field theories. In a gauge theory the partition function is the sum of the contributions of sectors specified by holonomies, and we should carefully choose the relative…

高能物理 - 理论 · 物理学 2014-04-23 Yosuke Imamura , Hiroki Matsuno , Daisuke Yokoyama

Duality relations for the 2D nonhomogeneous Ising model on the finite square lattice wrapped on the torus are obtained. The partition function of the model on the dual lattice with arbitrary combinations of the periodical and antiperiodical…

高能物理 - 理论 · 物理学 2007-05-23 Anatolij I. Bugrij , Vitalij N. Shadura

This talk is divided into two parts. The first part reviews some of the duality relationships between superstring theories. These relationships are interpreted as providing evidence for the existence of a unique underlying fundamental…

高能物理 - 理论 · 物理学 2009-10-28 John H. Schwarz

The most impressively prolific exploration of superstring models (aiming for our physical reality) has been focused on worldsheet-supersymmetric gauged linear sigma models and the closely associated complex-algebraic toric geometry. Mirror…

高能物理 - 理论 · 物理学 2026-05-11 Tristan Hübsch

We compute the partition functions of $\mathcal{N} = 1$ gauge theories on $S^2 \times \mathbb{R}^2_\varepsilon$ using supersymmetric localization. The path integral reduces to a sum over vortices at the poles of $S^2$ and at the origin of…

高能物理 - 理论 · 物理学 2021-07-02 Taro Kimura , Jun Nian , Peng Zhao

We study the resurgent structure of the refined topological string partition function on a non-compact Calabi-Yau threefold, at large orders in the string coupling constant $g_s$ and fixed refinement parameter $\mathsf{b}$. For…

高能物理 - 理论 · 物理学 2024-08-07 Sergey Alexandrov , Marcos Mariño , Boris Pioline

We define the $n$-point function for a vertex operator algebra on a genus two Riemann surface in two separate sewing schemes where either two tori are sewn together or a handle is sewn to one torus. We explicitly obtain closed formulas for…

量子代数 · 数学 2007-12-06 Geoffrey Mason , Michael P. Tuite

We study partition function of four-dimensional $\mathcal{N}=1$ supersymmetric field theory on $T^2 \times S^2$. By applying supersymmetry localization, we show that the $T^2 \times S^2$ partition function is given by elliptic genus of…

高能物理 - 理论 · 物理学 2015-04-17 Masazumi Honda , Yutaka Yoshida

In this paper we describe how representation theory of groups can be used to shorten the derivation of two loop partition functions in string theory, giving an intrinsic description of modular forms appearing in the results of D'Hoker and…

高能物理 - 理论 · 物理学 2008-11-26 Sergio Cacciatori , Francesco Dalla Piazza

We consider a wrapped supermembrane on $\R^9\times T^2$. We examine a double dimensional reduction to deduce a $(p,q)$-string in type IIB superstring theory from the wrapped supermembrane. In particular, directly from the wrapped…

高能物理 - 理论 · 物理学 2010-04-05 Hiroyuki Okagawa , Shozo Uehara , Satoshi Yamada

This is the 13th article in the collection of reviews "Exact results in N=2 supersymmetric gauge theories", ed. J. Teschner. It discusses the relation between the instanton partition functions and the partition function of the topological…

高能物理 - 理论 · 物理学 2014-12-23 Daniel Krefl , Johannes Walcher

We perform the calculation of the partition function of the Poisson-sigma model on the world sheet with the topology of a two-dimensional disc. Considering the special case of a linear Poisson structure we recover the partition function of…

高能物理 - 理论 · 物理学 2007-05-23 Allen C. Hirshfeld , Thomas Schwarzweller

We present a dual formulation of the construction of N=2 nonlinear sigma-model type conformal field theories with c=9 which are mainly used as internal sectors of Calabi-Yau heterotic string compactifications. The supercurrents and the…

高能物理 - 理论 · 物理学 2016-09-06 Ralph Blumenhagen , Andreas Wisskirchen

In this letter we describe how to string together the doubled field approach by Cremmer, Julia, Lu and Pope with Pasti-Sorokin-Tonin technique to construct the sigma-model-like action for type IIA supergravity. The relation of the results…

高能物理 - 理论 · 物理学 2009-11-10 Alexei J. Nurmagambetov

This article reviews the non-perturbative structure of certain higher derivative terms in the type II string theory effective action and their connection to one-loop effects in eleven-dimensional supergravity compactified on a torus. New…

高能物理 - 理论 · 物理学 2009-10-30 Michael B. Green

The purpose of this contribution is to initiate the study of integrable deformations for different superstring theory formalisms that manifest the property of (classical) integrability. In this paper we choose the hybrid formalism of the…

高能物理 - 理论 · 物理学 2016-10-28 David M. Schmidtt

We study the type II superstring theory on the background $\br^{d-1,1}\times X_n$, where $X_n$ is a Calabi-Yau $n$-fold ($2n+d=10$) with an isolated singularity, by making use of the holographically dual description proposed by…

高能物理 - 理论 · 物理学 2008-11-26 Tohru Eguchi , Yuji Sugawara

The dual of the four dimensional non-linear sigma model is constructed using techniques familiar to string theory. This construction necessitates the introduction of a rank two antisymmetric tensor field whose properties are examined. The…

高能物理 - 理论 · 物理学 2007-05-23 N. Mohammedi , R. T. Moss , R. D. Simmons