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Related papers: Tree-level S-matrix of superstring field theory wi…

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We use insights from superstring field theory to prove the subleading soft graviton theorem for tree amplitudes of (compactified) heterotic and type II string theories for arbitrary number of finite energy NS (NSNS) sector external states…

High Energy Physics - Theory · Physics 2017-07-25 Ashoke Sen

We elaborate the two-fold simplex-like structures of tree amplitudes in planar maximally supersymmetric Yang-Mills (N=4 SYM), through its connection to a mathematical structure known as the positive Grassmannian. Exploiting the reduced…

High Energy Physics - Theory · Physics 2020-06-23 Junjie Rao

Four-particle tree-level scattering amplitudes in string theory are magically consistent with unitarity, reflected in the non-trivial fact that beneath the critical dimension, the residues of the amplitudes on massive poles can be expanded…

High Energy Physics - Theory · Physics 2022-03-14 Nima Arkani-Hamed , Lorenz Eberhardt , Yu-tin Huang , Sebastian Mizera

We reformulate twistor-string theory as a heterotic string based on a twisted (0,2) model. The path integral localizes on holomorphic maps, while the (0,2) moduli naturally correspond to the states of N=4 super Yang-Mills and conformal…

High Energy Physics - Theory · Physics 2008-11-26 Lionel Mason , David Skinner

We derive the exact S-matrix for the scattering of particular representations of the centrally-extended psu(1|1)^2 Lie superalgebra, conjectured to be related to the massive modes of the light-cone gauge string theory on AdS_2 x S^2 x T^6.…

High Energy Physics - Theory · Physics 2015-06-22 Ben Hoare , Antonio Pittelli , Alessandro Torrielli

Synopsis: (i) how superstring theories are unified by M-theory; (ii) how superstring and supermembrane properties follow from the D=10 and D=11 supersymmetry algebras; (iii) how D=10 and D=11 supergravity theories determine the strong…

High Energy Physics - Theory · Physics 2008-02-03 P. K. Townsend

We investigate the perturbative and non-perturbative correspondence of a class of four dimensional dual string constructions with N=4 and N=2 supersymmetry, obtained as Z_2 or Z_2 x Z_2 orbifolds of the type II, heterotic and type I string.…

High Energy Physics - Theory · Physics 2010-02-03 Andrea Gregori

Following a recent conjecture by Lapan, Simons and Strominger, we revisit and discuss an intrinsically heterotic class of conformal field theories, emphasizing their Lagrangian construction as asymmetrically gauged WZW models, which may be…

High Energy Physics - Theory · Physics 2007-08-05 Clifford V. Johnson

We study properties of differential graded (dg) operads modulo weak equivalences, that is, modulo the relation given by the existence of a chain of dg operad maps inducing a homology isomorphism. This approach, naturally arising in string…

High Energy Physics - Theory · Physics 2008-02-03 Martin Markl

We provide some additional evidence in favour of the strong - weak coupling duality between the SO(32) heterotic and type I superstring theories by comparing terms quartic in the gauge field strength in their low-energy effective actions.…

High Energy Physics - Theory · Physics 2009-09-17 A. A. Tseytlin

Much information about a graph can be obtained by studying its spanning trees. On the other hand, a graph can be regarded as a 1-dimensional cell complex, raising the question of developing a theory of trees in higher dimension. As observed…

Combinatorics · Mathematics 2015-06-24 Art M. Duval , Caroline J. Klivans , Jeremy L. Martin

The scattering amplitudes of gauge bosons in heterotic and open superstring theories are related by the single-valued projection which yields heterotic amplitudes by selecting a subset of multiple zeta value coefficients in the $\alpha'$…

High Energy Physics - Theory · Physics 2018-04-04 Wei Fan , A. Fotopoulos , S. Stieberger , T. R. Taylor

A novel Lie-superalgebraic description of the superstring in the super-Minkowskian background is extracted from the Cartan-Eilenberg super-1-gerbe geometrising the higher gauge field (the Green-Schwarz super-3-cocycle) that couples to the…

High Energy Physics - Theory · Physics 2021-02-17 Rafał R. Suszek

We consider the topological and geometric structures associated with cohomological and homological objects in M-theory. For the latter, we have M2-branes and M5-branes, the analysis of which requires the underlying spacetime to admit a…

Differential Geometry · Mathematics 2010-10-19 Hisham Sati

In these lectures, we review the main properties of the topological theory obtained by twisting the N=2 two-dimensional superconformal algebra, associated to supersymmetric string compactifications. In particular, we describe a set of…

High Energy Physics - Theory · Physics 2008-11-26 I. Antoniadis , S. Hohenegger

In this paper the $c=1$ string theory is studied from the point of view of topological field theories. Calculations are done for arbitrary genus. A change in the prescription is proposed, which reproduces the results of the $1/x^2$ deformed…

High Energy Physics - Theory · Physics 2009-10-28 Ulf H. Danielsson

Let G be a compact Lie group. By work of Chataur and Menichi, the homology of the space of free loops in the classifying space of G is known to be the value on the circle in a homological conformal field theory. This means in particular…

Algebraic Topology · Mathematics 2015-06-01 Richard Hepworth , Anssi Lahtinen

The first-order theory of finite and infinite trees has been studied since the eighties, especially by the logic programming community. Following Djelloul, Dao and Fr\"uhwirth, we consider an extension of this theory with an additional…

Logic in Computer Science · Computer Science 2020-08-10 Fabian Zaiser , C. -H. Luke Ong

We study the field theory localizing to holomorphic maps from a complex manifold of complex dimension 2 to a toric target (a generalization of A model). Fields are realized as maps to $(\mathbb{C}^*)^N$ where one includes special…

High Energy Physics - Theory · Physics 2022-01-05 Olga Chekeres , Andrey S. Losev , Pavel Mnev , Donald R. Youmans

We construct a model for the string group as an infinite-dimensional Lie group. In a second step we extend this model by a contractible Lie group to a Lie 2-group model. To this end we need to establish some facts on the homotopy theory of…

Algebraic Topology · Mathematics 2014-01-08 Thomas Nikolaus , Christoph Sachse , Christoph Wockel