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We propose a novel string theory propagating in a non-commutative deformation of the four dimensional space T* T^2 whose scattering states correspond to superconformal theories in 5 dimensions and the scattering amplitudes compute…

高能物理 - 理论 · 物理学 2012-09-13 Cumrun Vafa

A close connection of reverse plane partitions with an integrable dynamical system called the discrete two-dimensional (2D) Toda molecule is clarified. It is shown that a multiplicative partition function for reverse plane partition of…

组合数学 · 数学 2017-01-25 Shuhei Kamioka

We prove that 3d superconformal index for general $\mathcal N=2$ U(N) gauge group with fundamentals and anti-fundmentals with/without Chern-Simons terms is factorized into vortex and anti-vortex partition function. We show that for simple…

高能物理 - 理论 · 物理学 2013-08-19 Chiung Hwang , Hee-Cheol Kim , Jaemo Park

The BV formalism is a well-established method for analyzing symmetries and quantization of field theories. In this paper we use the BV formalism to derive partition functions of gauge invariant operators up to equations of motions and their…

高能物理 - 理论 · 物理学 2025-06-25 Pietro Antonio Grassi , Ondrej Hulik

An unambiguous and slice-independent formula for the two-loop superstring measure on moduli space for even spin structure is constructed from first principles. The construction uses the super-period matrix as moduli invariant under…

高能物理 - 理论 · 物理学 2008-11-26 Eric D'Hoker , D. H. Phong

The IIB matrix model proposes a mechanism for dynamically generating four dimensional space--time in string theory by spontaneous breaking of the ten dimensional rotational symmetry $\textrm{SO}(10)$. Calculations using the Gaussian…

高能物理 - 格点 · 物理学 2015-03-17 Konstantinos N. Anagnostopoulos , Takehiro Azuma , Jun Nishimura

In this work we calculate the partition functions of $\mathcal{N}=1$ type 0A and 0B JT supergravity (SJT) on 2D surfaces of arbitrary genus with multiple finite cut-off boundaries, based on the $T\bar{T}$ deformed super-Schwarzian theories.…

高能物理 - 理论 · 物理学 2022-05-06 Song He , Hao Ouyang , Yuan Sun

Two different families of abelian chiral gauge theories on the torus are investigated: the aim is to test the consistency of two-dimensional anomalous gauge theories in the presence of global degrees of freedom for the gauge field. An…

高能物理 - 理论 · 物理学 2009-10-31 L. Griguolo , D. Seminara

We use the operator formalism to derive the bosonic contribution to the twisted open string partition function in toroidal compactifications. This amplitude describes, for instance, the planar interaction between g+1 magnetized or…

高能物理 - 理论 · 物理学 2009-11-13 Rodolfo Russo , Stefano Sciuto

We consider M-theory in the presence of M parallel M5-branes probing a transverse A_{N-1} singularity. This leads to a superconformal theory with (1,0) supersymmetry in six dimensions. We compute the supersymmetric partition function of…

高能物理 - 理论 · 物理学 2015-06-17 Babak Haghighat , Can Kozcaz , Guglielmo Lockhart , Cumrun Vafa

We use holomorphic factorization to find the partition functions of an abelian two-form chiral gauge-field on a flat six-torus. We prove that exactly one of these partition functions is modular invariant. It turns out to be the one that…

高能物理 - 理论 · 物理学 2009-10-31 Andreas Gustavsson

In this article we present bosonic T-dualization in double space of the type II superstring theory in pure spinor formulation. We use the action with constant background fields obtained from the general case under some physically and…

高能物理 - 理论 · 物理学 2019-10-08 B. Nikolić , B. Sazdović

We compute the ${\cal N}=2$ supersymmetric partition function of a gauge theory on a four-dimensional compact toric manifold via equivariant localization. The result is given by a piecewise constant function of the K\"ahler form with jumps…

In this note we prove an identity that equates the elliptic genus partition function of a supersymmetric sigma model on the N-fold symmetric product $M^N/S_N$ of a manifold M to the partition function of a second quantized string theory on…

高能物理 - 理论 · 物理学 2009-07-09 R. Dijkgraaf , G. Moore , E. Verlinde , H. Verlinde

We present a geometric formulation of type-IIA and -IIB superstring theories in which the Wess-Zumino term is second order in the supersymmetric currents. The currents are constructed using supergroup manifolds corresponding to…

高能物理 - 理论 · 物理学 2011-04-05 M. Sakaguchi

We provide a general formula for the partition function of three-dimensional $\mathcal{N}=2$ gauge theories placed on $S^2 \times S^1$ with a topological twist along $S^2$, which can be interpreted as an index for chiral states of the…

高能物理 - 理论 · 物理学 2015-10-29 Francesco Benini , Alberto Zaffaroni

The partition function of Ramond-Ramond p-form fields in Type IIA supergravity on a ten-manifold X contains subtle phase factors that are associated with T-duality, self-duality, and the relation of the RR fields to K-theory. The analogous…

高能物理 - 理论 · 物理学 2010-04-07 Duiliu-Emanuel Diaconescu , Gregory Moore , Edward Witten

We derive the T-duality transformations that transform a general d=10 solution of the type-IIA string with one isometry to a solution of the type-IIB string with one isometry and vice versa. In contrast to other superstring theories, the…

高能物理 - 理论 · 物理学 2009-10-28 E. Bergshoeff , C. M. Hull , T. Ortin

The goal of this paper is to exhibit a deep relation between the partition function of the Ising model on a planar trivalent graph and the generating series of the spin network evaluations on the same graph. We provide respectively a…

数学物理 · 物理学 2016-11-23 Valentin Bonzom , Francesco Costantino , Etera R. Livine

We construct integrated and unintegrated vertex operators for the type II superstring using the B-RNS-GSS formalism. The construction is done in flat spacetime background for both type II superstrings and type IIB superstring in a…

高能物理 - 理论 · 物理学 2025-09-12 Osvaldo Chandia