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Standard superspace Feynman diagram rules give one estimate of the onset of ultraviolet divergences in supergravity and super Yang-Mills theories. Newer techniques motivated by string theory but which also make essential use of unitarity…

High Energy Physics - Theory · Physics 2007-05-23 K. S. Stelle

As open N=2 or 4 strings describe self-dual N=4 super Yang-Mills in 2+2 dimensions, the corresponding closed (heterotic) strings describe self-dual ungauged (gauged) N=8 supergravity. These theories are conveniently formulated in a chiral…

High Energy Physics - Theory · Physics 2010-11-01 W. Siegel

We consider (2+1)-dimensional (N, M)-extended higher-spin anti-de Sitter supergravity and study its asymptotic symmetries. The theory is described by the Chern-Simons action based on a real, infinite-dimensional higher-spin superalgebra. We…

High Energy Physics - Theory · Physics 2015-06-04 Marc Henneaux , Gustavo Lucena Gómez , Jaesung Park , Soo-Jong Rey

We show that the string tension in N=1 two-dimensional super Yang-Mills theory vanishes independently of the representation of the quark anti-quark external source. We argue that this result persists in SQCD_2 and in two-dimensional gauge…

High Energy Physics - Theory · Physics 2009-10-31 A. Armoni , Y. Frishman , J. Sonnenschein

The well known N=2 string theory describes self-dual gravity, as was shown by Ooguri and Vafa sometime ago. In search of a variant of this theory which would describe self-dual supergravity in 2+2 dimensions, we have constructed two new N=2…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin

We investigate the asymptotic symmetry algebra of (2+1)-dimensional higher spin, anti-de Sitter gravity. We use the formulation of the theory as a Chern-Simons gauge theory based on the higher spin algebra hs(1,1). Expanding the gauge…

High Energy Physics - Theory · Physics 2010-12-09 Marc Henneaux , Soo-Jong Rey

In the large-$N$ and strong-coupling limit, maximally supersymmetric SU($N$) Yang--Mills theory in $(2 + 1)$ dimensions is conjectured to be dual to the decoupling limit of a stack of $N$ D$2$-branes, which may be described by IIA…

High Energy Physics - Theory · Physics 2020-11-11 Simon Catterall , Joel Giedt , Raghav G. Jha , David Schaich , Toby Wiseman

We show that $\N=1$ gauge theories with an adjoint chiral multiplet admit a wide class of large-N double-scaling limits where $N$ is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that…

High Energy Physics - Theory · Physics 2010-12-03 Gaetano Bertoldi , Timothy J. Hollowood , J. Luis Miramontes

Exploring the role of conformal theories of gravity in string theory, we show that the minimal (N=2) gauged supergravities in five dimensions induce the multiplets and transformations of N=1 four dimensional conformal supergravity on the…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Eric Gimon , Djordje Minic , Joachim Rahmfeld

A previous study of the Kawai, Lewellen and Tye (KLT) relations between gravity and gauge theories, imposed by the relationship of closed and open strings, are here extended in the light of general relativity and Yang-Mills theory as…

High Energy Physics - Theory · Physics 2014-11-18 N. E. J. Bjerrum-Bohr

We discuss string theory relations between gravity and gauge theory tree amplitudes. Together with $D$-dimensional unitarity, these relations can be used to perturbatively quantize gravity theories, i.e. they contain the necessary…

High Energy Physics - Theory · Physics 2007-05-23 Z. Bern

Safe theories are quantum field theories whose continuum limit is defined by a non-Gaussian ultraviolet fixed point when the ultraviolet cutoff is removed. They constitute an important set in the space of quantum field theories. Here we…

High Energy Physics - Theory · Physics 2020-01-24 Soo-Jong Rey , Francesco Sannino

In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to "heavy" string states, while the third vertex corresponds to…

High Energy Physics - Theory · Physics 2015-05-30 Plamen Bozhilov

In this article, the free field theory limit of operators dual to giant gravitons with open strings attached are studied. We introduce a graphical notation, which employs Young diagrams, for these operators. The computation of two point…

High Energy Physics - Theory · Physics 2010-10-27 Robert de Mello Koch , Jelena Smolic , Milena Smolic

Berenstein, Maldacena, and Nastase have proposed, as a limit of the strong form of the AdS/CFT correspondence, that string theory in a particular plane wave background is dual to a certain subset of operators in the N=4 super-Yang-Mills…

High Energy Physics - Theory · Physics 2009-11-07 David J. Gross , Andrei Mikhailov , Radu Roiban

The hierarchy of equations of motion for equal-time Green functions in temporal gauge SU(N) Yang-Mills theory is truncated using an expansion in terms of connected Green functions. A second hierarchy of constraint equations arises from…

High Energy Physics - Theory · Physics 2009-10-30 J. M. Hauser , W. Cassing , S. Leupold , M. H. Thoma

In four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$, we present a closed-form solution for a family of integrated four-point functions involving stress tensor multiplet composites of arbitrary R-charge.…

High Energy Physics - Theory · Physics 2023-03-24 Hynek Paul , Eric Perlmutter , Himanshu Raj

We exhibit the gauge-group independence (``universality'') of all normalized non-intersecting Wilson loop expectation values in the large N limit of two-dimensional Yang-Mills theory. This universality is most easily understood via the…

High Energy Physics - Theory · Physics 2016-09-06 M. Crescimanno , S. Naculich , H. J. Schnitzer

Three-dimensional Yang-Mills theory allows for a deformation quadratic in the field strengths which can not be integrated to a local action without auxiliary fields. Yet, its covariant divergence consistently vanishes after iterating the…

High Energy Physics - Theory · Physics 2022-07-22 Nihat Sadik Deger , Henning Samtleben

We expose simple and practical relations between the integrated four- and five-point one-loop amplitudes of N >= 4 supergravity and the corresponding (super-)Yang-Mills amplitudes. The link between the amplitudes is simply understood using…

High Energy Physics - Theory · Physics 2013-05-29 Z. Bern , C. Boucher-Veronneau , H. Johansson