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Related papers: Large N instantons from topological strings

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We study the effect of ZZ instantons in c = 1 string theory, and demonstrate that they give rise to non-perturbative corrections to scattering amplitudes that do not saturate unitarity within the closed string sector. Beyond the leading…

High Energy Physics - Theory · Physics 2019-12-17 Bruno Balthazar , Victor A. Rodriguez , Xi Yin

We show how topological open string theory amplitudes can be computed by using relative stable morphisms in the algebraic category. We achieve our goal by explicitly working through an example which has been previously considered by Ooguri…

High Energy Physics - Theory · Physics 2011-07-21 Jun Li , Yun S. Song

Recently, there has been renewed interest in studies of criticality in the spin quantum Hall effect, realized in the Altland-Zirnbauer symmetry class C of disordered, noninteracting fermions in two spatial dimensions. In our study, we…

Mesoscale and Nanoscale Physics · Physics 2025-03-03 Maksim Parfenov , Igor Burmistrov

We study the partition function of the orbifold ABJM theory on $S^3$, which is the $\mathcal{N}=4$ necklace quiver Chern-Simons-matter theory with alternating levels, in the Fermi gas formalism. We find that the grand potential of the…

High Energy Physics - Theory · Physics 2015-06-19 Masazumi Honda , Sanefumi Moriyama

We study the O(2N) model at criticality in three dimensions in the double scaling limit of large N and large charge. We show that the large-charge expansion is an asymptotic series, and we use resurgence techniques to study the…

High Energy Physics - Theory · Physics 2021-05-19 Nicola Dondi , Ioannis Kalogerakis , Domenico Orlando , Susanne Reffert

The non-perturbative dynamics of quantum field theories is studied using theoretical tools inspired by string formalism. Two main lines are developed: the analysis of stringy instantons in a class of four-dimensional N=2 gauge theories and…

High Energy Physics - Theory · Physics 2012-10-23 Daniele Musso

We show that refined Chern-Simons theory and large N duality can be used to study the refined topological string with and without branes. We derive the refined topological vertex of hep-th/0701156 and hep-th/0502061 from a link invariant of…

High Energy Physics - Theory · Physics 2012-10-11 Mina Aganagic , Shamil Shakirov

In arXiv:1911.08172 we have studied the single-particle free energy of a class of Little String Theories of A-type, which are engineered by $N$ parallel M5-branes on a circle. To leading instanton order (from the perspective of the low…

High Energy Physics - Theory · Physics 2021-05-19 Stefan Hohenegger

When $N$ five-branes of M-theory coincide the world-volume theory contains tensionless strings, according to Strominger's construction. This suggests a large $N$ limit of tensionless string theories. For the small $E_8$ instanton theories,…

High Energy Physics - Theory · Physics 2009-10-30 Ori J. Ganor

The 2-matrix model has been introduced to study Ising model on random surfaces. Since then, the link between matrix models and combinatorics of discrete surfaces has strongly tightened. This manuscript aims to investigate these deep links…

High Energy Physics - Theory · Physics 2007-09-20 N. Orantin

In this paper we present the results of numerical simulations intended to study the behavior of non-Abelian cosmic strings networks. In particular we are interested in discussing the variations in the asymptotic behavior of the system as we…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-17 G. Cella , M. Pieroni

We embed the large N Chern-Simons/topological string duality in ordinary superstrings. This corresponds to a large $N$ duality between generalized gauge systems with N=1 supersymmetry in 4 dimensions and superstrings propagating on…

High Energy Physics - Theory · Physics 2015-06-25 Cumrun Vafa

The one-plaquette Hamiltonian of large N lattice gauge theory offers a constructive model of a $1+1$-dimensional string theory with a stable ground state. The free energy is found to be equivalent to the partition function of a string where…

High Energy Physics - Theory · Physics 2010-11-01 S. Chaudhuri , H. Itoyama , T. Ooshita

In this paper, colorless bilocal fields are employed to study the large $N$ limit of both fermionic and bosonic vector models. The Jacobian associated with the change of variables from the original fields to the bilocals is computed…

High Energy Physics - Theory · Physics 2009-10-30 Robert de Mello Koch , João P. Rodrigues

We consider the spherical integral of real symmetric or Hermitian matrices when the rank of one matrix is one. We prove the existence of the full asymptotic expansions of these spherical integrals and derive the first and the second term in…

Probability · Mathematics 2014-12-16 Jiaoyang Huang

We prove the existence of a 1/N expansion to all orders in beta matrix models with a confining, off-critical potential corresponding to an equilibrium measure with a connected support. Thus, the coefficients of the expansion can be obtained…

Probability · Mathematics 2015-05-28 Gaëtan Borot , Alice Guionnet

We study the large-$N$ behavior of random matrix tuples $Y^N = (Y_1^N,\dots,Y_d^N)$ with joint density proportional to $e^{-N^2 V}$ for some convex function $V$ in non-commuting variables satisfying certain bounds on its second derivative.…

Probability · Mathematics 2026-04-06 David Jekel , Evangelos A. Nikitopoulos , Félix Parraud

A novel mechanism for the production of a cosmic network of fundamental superstrings based on a time-varying string tension has been recently proposed in the context of a kinating background driven by the volume modulus of string…

High Energy Physics - Theory · Physics 2025-03-17 Luca Brunelli , Michele Cicoli , Francisco G. Pedro

We express the infinite sum of D-fivebrane instanton corrections to ${\cal R}^2$ couplings in ${\cal N}=4$ type I string vacua, in terms of an elliptic index counting 1/2-BPS excitations in the effective $Sp(N)$ brane theory. We compute the…

High Energy Physics - Theory · Physics 2009-10-31 Amine B. Hammou , Jose F. Morales

Using the Coulomb Fluid method, this paper derives central limit theorems (CLTs) for linear spectral statistics of three "spiked" Hermitian random matrix ensembles. These include Johnstone's spiked model (i.e., central Wishart with spiked…

Statistics Theory · Mathematics 2015-06-18 Damien Passemier , Matthew R. Mckay , Yang Chen