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We derive from ambitwistor strings new formulae for two-loop scattering amplitudes in supergravity and super-Yang-Mills theory, with any number of particles. We start by constructing a formula for the type II ambitwistor string amplitudes…

High Energy Physics - Theory · Physics 2018-12-18 Yvonne Geyer , Ricardo Monteiro

A geometric algorithm is introduced for finding a symplectic basis of the first integral homology group of a compact Riemann surface, which is a $p$-cyclic covering of ${\mathbb C} P^1$ branched over 3 points. The algorithm yields a…

Algebraic Geometry · Mathematics 2014-12-12 Yuuki Tadokoro

The matrix model formulation of two dimensional string theory has been shown to admit time dependent classical solutions whose closed string duals are geodesically incomplete space-times with space-like boundaries. We investigate some…

High Energy Physics - Theory · Physics 2008-11-26 Sumit R. Das , Luiz H. Santos

We use an exactly solvable (0,2) supersymmetric conformal field theory with gauge group SO(10) to investigate the superpotential of the corresponding classical string vacuum. We provide evidence that the rational point lies in the…

High Energy Physics - Theory · Physics 2009-10-30 Ralph Blumenhagen , Andreas Wisskirchen

We determine the 1-form symmetry group for any 4d N = 2 class S theory constructed by compactifying a 6d N=(2,0) SCFT on a Riemann surface with arbitrary regular untwisted and twisted punctures. The 6d theory has a group of mutually…

High Energy Physics - Theory · Physics 2021-12-01 Lakshya Bhardwaj , Max Hubner , Sakura Schafer-Nameki

We derive the complete covariant action for the type IIA superstring in a simple D=10 background which represents a 7-brane with a magnetic Ramond-Ramond vector field (and is U-dual to the Kaluza-Klein Melvin solution). This curved…

High Energy Physics - Theory · Physics 2009-10-31 J. Russo , A. A. Tseytlin

We define intrinsic torsion in generalised geometry and use it to introduce a new notion of generalised special holonomy. We then consider generic warped supersymmetric flux compactifications of M theory and Type II of the form…

High Energy Physics - Theory · Physics 2016-07-07 André Coimbra , Charles Strickland-Constable , Daniel Waldram

The recent developments in superstring theory prompted the study of non-commutative structures in superspace. Considering bosonic and fermionic strings in a constant antisymmetric tensor background yields a non-vanishing commutator between…

High Energy Physics - Theory · Physics 2014-11-18 P. A. Grassi

In this paper we discuss some topics on the geometry of type II superstring backgrounds with D-branes, in particular on the geometrical meaning of the D-brane charge, the Ramond-Ramond fields and the Wess-Zumino action. We see that,…

High Energy Physics - Theory · Physics 2009-11-18 Fabio Ferrari Ruffino

Branched n-coverings of Riemann surfaces are described by a 2d lattice gauge theory of the symmetric group S(n) defined on a cell discretization of the surface. We study the theory in the large-n limit, and we find a rich phase diagram with…

High Energy Physics - Theory · Physics 2009-11-07 A. D'Adda , P. Provero

We define the notion of a complete N=2 supersymmetric theory in 4 dimensions as a UV complete theory for which all the BPS central charges can be arbitrarily varied as we vary its Coulomb branch parameters, masses, and coupling constants.…

High Energy Physics - Theory · Physics 2013-04-12 Sergio Cecotti , Cumrun Vafa

We develop a systematic method for classifying supersymmetric orbifold compactifications of M-theory. By restricting our attention to abelian orbifolds with low order, in the special cases where elements do not include coordinate shifts, we…

High Energy Physics - Theory · Physics 2010-11-19 Charles F. Doran , Michael Faux

Recently an alternative description of 2d supergravities in terms of graded Poisson-Sigma models (gPSM) has been given. As pointed out previously by the present authors a certain subset of gPSMs can be interpreted as "genuine" supergravity,…

High Energy Physics - Theory · Physics 2009-11-10 L. Bergamin , W. Kummer

In the previous paper, the authors pointed out correspondence of a supersymmetric double-well matrix model with two-dimensional type IIA superstring theory on a nontrivial Ramond-Ramond background from the viewpoint of symmetries and…

High Energy Physics - Theory · Physics 2015-06-16 Tsunehide Kuroki , Fumihiko Sugino

It has long been known that in principle, the genus g vacuum amplitude for bosonic strings or superstrings in 26 or 10 dimensions can be entirely determined from conditions of holomorphy. Moreover, this has been done in practice for bosonic…

High Energy Physics - Theory · Physics 2013-12-04 Edward Witten

We study the conditions to have supersymmetric D-branes on general {\cal N}=1 backgrounds with Ramond-Ramond fluxes. These conditions can be written in terms of the two pure spinors associated to the SU(3)\times SU(3) structure on T_M\oplus…

High Energy Physics - Theory · Physics 2009-11-11 Luca Martucci , Paul Smyth

We investigate the space of massive two-dimensional theories with a global U(N) symmetry and no bound states. Following S-matrix bootstrap principles, we establish rigorous bounds on the space of consistent $2 \rightarrow 2$ scattering…

High Energy Physics - Theory · Physics 2025-04-30 Lucía Cordova , Ricardo Rodrigues

In this dissertation, we study the generalized symmetries in supergravities and superconformal field theories from the string theory perspective. Part one is devoted to the study of string universality in high spacetime dimensions.…

High Energy Physics - Theory · Physics 2023-06-14 Hao Y. Zhang

We consider four-dimensional N=2 supersymmetric gauge theories with gauge group U(N) on R^3 x S^1, in the presence of a classical superpotential. The low-energy quantum superpotential is obtained by simply replacing the adjoint scalar…

High Energy Physics - Theory · Physics 2010-12-03 Rutger Boels , Jan de Boer , Robert Duivenvoorden , Jeroen Wijnhout

Generalizations of Redfield's master theorem and superposition theorem are proved by using decomposition of the tensor product of several induced monomial representations of the symmetric group $S_d$ into transitive constituents. As direct…

Representation Theory · Mathematics 2007-05-23 Valentin Vankov Iliev