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Spinor and twistor formulations of tensionless bosonic strings in 4-dimensional Minkowski space are constructed. We begin with a first-order action that is equivalent to the Nambu-Goto action in the tensionful case and that leads to a…

High Energy Physics - Theory · Physics 2011-03-14 Shinichi Deguchi , Takeshi Egami , Jun-ichi Note

We initiate a novel formalism for computing correlation functions of trace operators in the planar N=4 SYM theory. The central object in our formalism is the spin vertex, which is the weak coupling analogy of the string vertex in string…

High Energy Physics - Theory · Physics 2015-12-09 Yunfeng Jiang , Ivan Kostov , Andrei Petrovskii , Didina Serban

Building on our proposal in arXiv:2405.06629, we present in detail the construction of the extended phase space for Yang-Mills at null infinity, containing the asymptotic symmetries and the charges responsible for sub$^n$-leading soft…

High Energy Physics - Theory · Physics 2024-11-01 Silvia Nagy , Javier Peraza , Giorgio Pizzolo

We study a consistent deformation of the cubic open bosonic string theory in such a way that the non-planar world sheet diagrams of the perturbative string theory are mapped onto their equivalent planar diagrams of the light-cone string…

High Energy Physics - Theory · Physics 2017-03-21 Taejin Lee

Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as $W$-algebras. Known examples include contractions of pairs of the Virasoro algebra, its $N=1$…

High Energy Physics - Theory · Physics 2018-03-14 Jorgen Rasmussen , Christopher Raymond

We describe a topological string theory which reproduces many aspects of the 1/N expansion of SU(N) Yang-Mills theory in two spacetime dimensions in the zero coupling (A=0) limit. The string theory is a modified version of topological…

High Energy Physics - Theory · Physics 2009-10-28 Stefan Cordes , Gregory Moore , Sanjaye Ramgoolam

In this letter, we consider a positive geometry conjectured to encode the loop integrand of four-point stress-energy correlators in planar $\mathcal{N}=4$ super Yang-Mills. Beginning with four lines in twistor space, we characterize a…

High Energy Physics - Theory · Physics 2024-10-03 Song He , Yu-tin Huang , Chia-Kai Kuo

We study the Dirac-Yang-Mills equations on closed spin manifolds with a focus on uncoupled solutions, i.e. solutions for which the connection form satisfies the Yang-Mills equation. Such solutions require the Dirac current, a quadratic form…

Differential Geometry · Mathematics 2026-02-02 Adam Lindström

An associative $*$-algebra is introduced (containing a $TTR$-algebra as a subalgebra) that implements the form factor axioms, and hence indirectly the Wightman axioms, in the following sense: Each $T$-invariant linear functional over the…

High Energy Physics - Theory · Physics 2009-10-28 M. R. Niedermaier

A method to construct the universal twist element using the constant quasiclassical unitary matrix solution of the Yang - Baxter equation is proposed. The method is applied to few known $R$ -matrices, corresponding to Lie (super) algebras…

Quantum Algebra · Mathematics 2007-05-23 A. A. Stolin , P. P. Kulish , E. V. Damaskinsky

We construct an open string theory whose single-trace part of the tree-level S-matrix reproduces the S-matrix of the ABJ(M) theory with a unitary gauge group. We also demonstrate that the multi-trace part of the string theory tree-level…

High Energy Physics - Theory · Physics 2014-01-27 Oluf Tang Engelund , Radu Roiban

We consider superstring theory on AdS_3 x S^3 x T^4 supported by a combination of RR and NSNS 3-form fluxes (with parameter of the NSNS 3-form q). This theory interpolates between the pure RR flux model (q=0) whose spectrum is expected to…

High Energy Physics - Theory · Physics 2018-04-09 B. Hoare , A. A. Tseytlin

We study correlation functions in topologically twisted $\mathcal{N}=2, d=4$ supersymmetric Yang-Mills theory for gauge groups of rank larger than one on compact four-manifolds $X$. We find that the topological invariance of the generator…

High Energy Physics - Theory · Physics 2017-09-07 Marcos Marino , Gregory Moore

We investigate the relation between 4d ambitwistor string theory and on-shell diagrams for planar N=4 super-Yang-Mills and N=8 supergravity, and deduce several new results about their scattering amplitudes at tree-level and 1-loop. In…

High Energy Physics - Theory · Physics 2017-09-13 Joseph A. Farrow , Arthur E. Lipstein

We study Witten's open string field theory in the presence of a constant B field. We construct the string field theory in the operator formalism and find that, compared to the ordinary theory with no B field, the vertices in the resulting…

High Energy Physics - Theory · Physics 2009-10-31 Teruhiko Kawano , Tomohiko Takahashi

Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twisted $\hat c$=3 N=2 generators are then constructed where the pure spinor BRST operator is the…

High Energy Physics - Theory · Physics 2009-11-11 Nathan Berkovits

We construct a twistor space action for N=4 super Yang-Mills theory and show that it is equivalent to its four dimensional spacetime counterpart at the level of perturbation theory. We compare our partition function to the original…

High Energy Physics - Theory · Physics 2010-10-27 Rutger Boels , Lionel Mason , David Skinner

A sum rule which relates a stress-energy tensor correlator to thermodynamic functions is examined within the context of a simple non-conformal gravity dual. Such a sum rule was previously derived using AdS/CFT for conformal $\mathcal{N} =…

High Energy Physics - Theory · Physics 2011-01-18 Todd Springer , Charles Gale , Sangyong Jeon , Su Houng Lee

We interpret the A and B model topological strings on CP^{3|4} as equivalent to open N=2 string theory on spacetime with signature (2,2), when covariantized with respect to SO(2,2) and supersymmetrized a la Siegel. We propose that…

High Energy Physics - Theory · Physics 2007-05-23 Andrew Neitzke , Cumrun Vafa

In this review we consider the Hamiltonian analysis of Yang-Mills theory and some variants of it in three spacetime dimensions using the Schr\"odinger representation. This representation, although technically more involved than the usual…

High Energy Physics - Theory · Physics 2023-08-29 V. P. Nair
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