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Related papers: Complete N-Point Superstring Disk Amplitude II. Am…

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We calculate the chiral string amplitude in pure spinor formalism and take four point amplitude as an example. The method could be easily generalized to $N$ point amplitude by complicated calculations. By doing the usual calculations of…

High Energy Physics - Theory · Physics 2017-02-24 Yuqi Li , Warren Siegel

We describe the implementation and usage of `fermionic_amplitudes.m', a Mathematica package for the computation of tree amplitudes involving arbitrary numbers of gauge bosons and arbitrarily-charged massless fermions of (possibly) distinct…

High Energy Physics - Theory · Physics 2026-04-22 Jacob L. Bourjaily , Michael Plesser , Philip Velie

Two-dimensional Yang-Mills theory is a useful model of an exactly solvable gauge theory with a string theory dual at large $N$. We calculate entanglement entropy in the $1/N$ expansion by mapping the theory to a system of $N$ fermions…

High Energy Physics - Theory · Physics 2020-05-20 William Donnelly , Sydney Timmerman , Nicolás Valdés-Meller

At tree-level, scattering amplitudes involving only gluons or gravitons are unaffected by supersymmetry, allowing them to be efficiently encoded by and extracted from those of maximally supersymmetric (N=4,8) theories. This fails beyond…

High Energy Physics - Theory · Physics 2026-01-01 Jacob L. Bourjaily

Some time ago the general tree-level scattering amplitudes of N=4 Super Yang-Mills theory were expressed as certain Grassmannian contour integrals. These remarkable formulas allow to clearly expose the super-conformal, dual super-conformal,…

High Energy Physics - Theory · Physics 2015-06-22 Livia Ferro , Tomasz Lukowski , Matthias Staudacher

We identify a large class of one-loop amplitudes for massless particles that can be constructed via unitarity from tree amplitudes, without any ambiguities. One-loop amplitudes for massless supersymmetric gauge theories fall into this…

High Energy Physics - Phenomenology · Physics 2010-11-15 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields,…

High Energy Physics - Theory · Physics 2020-07-01 Oscar Fuentealba , Javier Matulich , Ricardo Troncoso

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

We outline a general geometric structure that underlies the N=1 superpotentials of a certain class of flux and brane configurations in type II string compactifications on Calabi-Yau threefolds. This ``holomorphic N=1 special geometry'' is…

High Energy Physics - Theory · Physics 2007-05-23 W. Lerche , P. Mayr , N. Warner

We calculate the partition function of the $SU(N)$ ( and $U(N)$) generalized $YM_2$ theory defined on an arbitrary Riemann surface. The result which is expressed as a sum over irreducible representations generalizes the Rusakov formula for…

High Energy Physics - Theory · Physics 2009-10-28 O. Ganor , J. Sonnenschein , S. Yankielowicz

We present a string theory that reproduces the large-$N$ expansion of two dimensional Yang-Mills gauge theory on arbitrary surfaces. First, a new class of topological sigma models is introduced, with path integrals localized to the moduli…

High Energy Physics - Theory · Physics 2009-10-28 Petr Horava

The recursive expansion of tree level multitrace Einstein-Yang-Mills (EYM) amplitudes induces a refined graphic expansion, by which any tree-level EYM amplitude can be expressed as a summation over all possible refined graphs. Each graph…

High Energy Physics - Theory · Physics 2021-05-05 Hongxiang Tian , Enze Gong , Chongsi Xie , Yi-Jian Du

We solve a generalization of ordinary N=1 super Yang-Mills theory with gauge group U(N) and an adjoint chiral multiplet X for which we turn on both an arbitrary tree-level superpotential term \int d^{2}\theta Tr W(X) and an arbitrary…

High Energy Physics - Theory · Physics 2009-04-03 Frank Ferrari

We derive general and complete expressions for N-point tree-level amplitudes in Type II string models with matter fields localised at D-brane intersections.

High Energy Physics - Theory · Physics 2015-06-26 S. A. Abel , A. W. Owen

In this paper, we explicitly construct string theory backgrounds that realise the so-called $\mathcal N=2^\star$ gauge theory. We prove the consistency of our models by calculating their partition function and obtaining the correct gauge…

High Energy Physics - Theory · Physics 2016-06-29 Ioannis Florakis , Ahmad Zein Assi

We introduce a formalism for describing four-dimensional scattering amplitudes for particles of any mass and spin. This naturally extends the familiar spinor-helicity formalism for massless particles to one where these variables carry an…

High Energy Physics - Theory · Physics 2021-11-02 Nima Arkani-Hamed , Tzu-Chen Huang , Yu-tin Huang

We revisit non-interacting string partition functions in Rindler space by summing over fields in the spectrum. In field theory, the total partition function splits in a natural way in a piece that does not contain surface terms and a piece…

High Energy Physics - Theory · Physics 2016-06-01 Thomas G. Mertens , Henri Verschelde , Valentin I. Zakharov

We construct a complete type II superstring field theory that includes all the NS-NS, R-NS, NS-R and R-R sectors. As in the open and heterotic superstring cases, the R-NS, NS-R and R-R string fields are constrained by using the…

High Energy Physics - Theory · Physics 2020-04-08 Hiroshi Kunitomo , Tatsuya Sugimoto

We report progress in computing and analyzing all tree amplitudes in ABJM theory. Inspired by the isomorphism between the orthogonal Grassmannian and the pure spinor geometries, we adopt a new gauge, called u-gauge, for evaluating the…

High Energy Physics - Theory · Physics 2016-01-20 Seungbeom Chin , Sangmin Lee , Youngbin Yun

The complete tree-level S-matrix of four dimensional ${\cal N}=4$ super Yang-Mills and ${\cal N} = 8$ supergravity has compact forms as integrals over the moduli space of certain rational maps. In this note we derive formulas for amplitudes…

High Energy Physics - Theory · Physics 2015-06-16 Freddy Cachazo , Song He , Ellis Ye Yuan