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We propose a new partially topological theory in three dimensions which couples Chern-Simons theory to matter. The 3-manifolds needed for this construction admit transverse holomorphic foliation (THF). The theory depends only on the choice…

High Energy Physics - Theory · Physics 2017-08-29 Mina Aganagic , Kevin Costello , Jacob McNamara , Cumrun Vafa

We consider the Gopakumar-Ooguri-Vafa correspondence, relating ${\rm U}(N)$ Chern-Simons theory at large $N$ to topological strings, in the context of spherical Seifert 3-manifolds. These are quotients $\mathbb{S}^{\Gamma} =…

High Energy Physics - Theory · Physics 2023-07-07 Gaetan Borot , Andrea Brini

Gopakumar, Ooguri and Vafa famously proposed the existence of a correspondence between a topological gauge theory on one hand ($U(N)$ Chern-Simons theory on the three-sphere) and a topological string theory on the other (the topological…

High Energy Physics - Theory · Physics 2017-11-22 Andrea Brini

It has recently pointed out that a four-dimensional analog of Chern-Simons theory provides an elegant framework for understanding integrable models with spectral parameters. The goal of this short note is to better understand the relation…

High Energy Physics - Theory · Physics 2020-01-13 Masahito Yamazaki

We review the relation between Chern-Simons gauge theory and topological string theory on noncompact Calabi-Yau spaces. This relation has made possible to give an exact solution of topological string theory on these spaces to all orders in…

High Energy Physics - Theory · Physics 2008-11-26 Marcos Marino

Large N duality conjecture between U(N) Chern-Simons gauge theory on $S^3$ and A-model topological string theory on the resolved conifold was verified at the level of partition function and Wilson loop observables. As a consequence, the…

High Energy Physics - Theory · Physics 2009-11-11 Pravina Borhade , P. Ramadevi

We study refined topological string theory in the presence of orientifolds by counting second-quantized BPS states in M-theory. This leads us to propose a new integrality condition for both refined and unrefined topological strings when…

High Energy Physics - Theory · Physics 2015-06-04 Mina Aganagic , Kevin Schaeffer

We consider aspects of Chern-Simons theory on L(p,q) lens spaces and its relation with matrix models and topological string theory on Calabi-Yau threefolds, searching for possible new large N dualities via geometric transition for non-SU(2)…

Mathematical Physics · Physics 2011-06-02 Andrea Brini , Luca Griguolo , Domenico Seminara , Alessandro Tanzini

In this note we present a brief overview of connections between Chern-Simons theory and topological strings. A prominent role in this link has been played by large N dualities and holography. We demystify this by explaining why the Kahler…

Algebraic Geometry · Mathematics 2025-05-16 Cumrun Vafa

We invoke universal Chern-Simons theory to analytically calculate the exact free energy of the refined topological string on the resolved conifold. In the unrefined limit we reproduce non-perturbative corrections for the resolved conifold…

High Energy Physics - Theory · Physics 2015-06-15 Daniel Krefl , Ruben L. Mkrtchyan

This is the second in a two-part paper devoted to studying entanglement entropy and edge modes in the A model topological string theory. This theory enjoys a gauge-string (Gopakumar-Vafa) duality which is a topological analogue of AdS/CFT.…

High Energy Physics - Theory · Physics 2021-11-17 Yikun Jiang , Manki Kim , Gabriel Wong

We consider an open string version of the topological twist previously proposed for sigma-models with G2 target spaces. We determine the cohomology of open strings states and relate these to geometric deformations of calibrated submanifolds…

High Energy Physics - Theory · Physics 2008-11-26 Jan de Boer , Paul de Medeiros , Sheer El-Showk , Annamaria Sinkovics

We investigate how topological entanglement of Chern-Simons theory is captured in a string theoretic realization. Our explorations are motivated by a desire to understand how quantum entanglement of low energy open string degrees of freedom…

High Energy Physics - Theory · Physics 2020-01-08 Veronika E. Hubeny , Roji Pius , Mukund Rangamani

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

We study the relations between two-dimensional Yang-Mills theory on the torus, topological string theory on a Calabi-Yau threefold whose local geometry is the sum of two line bundles over the torus, and Chern-Simons theory on torus bundles.…

High Energy Physics - Theory · Physics 2009-04-08 N. Caporaso , M. Cirafici , L. Griguolo , S. Pasquetti , D. Seminara , R. J. Szabo

Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given space-time…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We study a three-dimensional U(k) Yang-Mills Chern-Simons theory with adjoint matter preserving two supersymmetries. According to Acharya and Vafa, this theory describes the low-energy worldvolume dynamics of BPS domain walls in…

High Energy Physics - Theory · Physics 2015-05-13 Adi Armoni , Amit Giveon , Dan Israel , Vasilis Niarchos

The three dimensional N=2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with Lagrangian descriptions. These theories can be…

High Energy Physics - Theory · Physics 2011-05-05 Davide Gaiotto , Xi Yin

Sinha and Vafa had conjectured that the $SO$ Chern-Simons gauge theory on $S^3$ must be dual to the closed $A$-model topological string on the orientifold of a resolved conifold. Though the Chern-Simons free energy could be rewritten in…

High Energy Physics - Theory · Physics 2010-07-30 Chandrima Paul , Pravina Borhade , P. Ramadevi

We generalize the results of Polchinski and Strassler regarding the N=1-preserving mass deformation of N=4 SU(N) SYM theories and its string theory dual to SO(N) and USp(2N) gauge groups. The string theory duals involve 5-branes wrapped on…

High Energy Physics - Theory · Physics 2009-09-29 Ofer Aharony , Arvind Rajaraman
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