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Scattering amplitudes in three-dimensional N=6 Chern-Simons theory are shown to be non-invariant with respect to the free representation of the osp(6|4) symmetry generators. At tree and one-loop level these "anomalous" terms occur only for…

High Energy Physics - Theory · Physics 2012-11-06 Till Bargheer , Niklas Beisert , Florian Loebbert , Tristan McLoughlin

The two-loop anomalous dimension of the chiral matter superfields is calculated for a general ${\cal N}=1$ supersymmetric gauge theory regularized by higher covariant derivatives. We obtain both the anomalous dimension defined in terms of…

High Energy Physics - Theory · Physics 2020-07-15 Alexander Kazantsev , Konstantin Stepanyantz

From a multiple scale analysis, we find an analytic solution of spherical and cylindrical Poisson-Boltzmann theory for both a 1:2 (monovalent co-ions, divalent counter-ions) and a 2:1 (reversed situation) electrolyte. Our approach consists…

Soft Condensed Matter · Physics 2007-05-23 Gabriel Tellez , Emmanuel Trizac

In AdS/CFT, the holographic Weyl anomaly computation relates the a-anomaly coefficient to the properties of the bulk action at the UV fixed point. This universal behavior suggests the possibility of a holographic c-theorem for the a-anomaly…

High Energy Physics - Theory · Physics 2013-05-30 James T. Liu , Wafic Sabra , Zhichen Zhao

Classically supersymmetric Wilson loop on a null polygonal contour possesses all symmetries required to match it onto non-MHV amplitudes in maximally supersymmetric Yang-Mills theory. However, to define it quantum mechanically, one is…

High Energy Physics - Theory · Physics 2015-06-04 A. V. Belitsky

Using the harmonic superspace approach, we perform a comprehensive study of the structure of divergences in the higher-derivative $6D$, ${\cal N}=(1,0)$ supersymmetric Yang--Mills theory coupled to the hypermultiplet in the adjoint…

High Energy Physics - Theory · Physics 2025-04-01 I. L. Buchbinder , A. S. Budekhina , E. A. Ivanov , K. V. Stepanyantz

We calculate the conformal anomaly from 5d Weyl gravity (with broken conformal symmetry) which is conjectured to be supergravity dual to ${\cal N}=2$ superconformal field theory via AdS/CFT correspondence. Its comparison with ${\cal N}=2$…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

We compute the supersymmetric Renyi entropy across an entangling three-sphere for five-dimensional superconformal field theories using localization. For a class of USp(2N) gauge theories we construct a holographic dual 1/2 BPS black hole…

High Energy Physics - Theory · Physics 2015-06-23 Luis F. Alday , Paul Richmond , James Sparks

We compute the holographic entanglement entropy contribution from planar two-dimensional defects in six-dimensional $\mathcal{N}=(2,0)$ superconformal field theory, holographically dual to probe M2- and M5-branes in $AdS_7 \times S^4$. In…

High Energy Physics - Theory · Physics 2019-03-27 Ronnie Rodgers

We study the six-dimensional $\cal{N}=(1,0)$ supersymmetric hypermultiplet model with arbitrary self-coupling. The model is considered in the external classical gauge superfield background. Using the harmonic superspace formulation we study…

High Energy Physics - Theory · Physics 2021-12-01 A. S. Budekhina , B. S. Merzlikin

We derive a new class of one-loop non-renormalization theorems that strongly constrain the running of higher dimension operators in a general four-dimensional quantum field theory. Our logic follows from unitarity: cuts of one-loop…

High Energy Physics - Phenomenology · Physics 2015-08-19 Clifford Cheung , Chia-Hsien Shen

We make an exact field theoretical computation of the conformal anomaly for two-dimensional submanifold observables. By including a scalar field in the definition for the Wilson surface, as appropriate for a spontaneously broken A_1 theory,…

High Energy Physics - Theory · Physics 2009-11-10 Andreas Gustavsson

We study a set of asymmetric deformations of non-critical superstring theories in various dimensions. The deformations arise as Kaehler and complex structure deformations of an orthogonal two-torus comprising of a parallel and a transverse…

High Energy Physics - Theory · Physics 2008-11-26 Troels Harmark , Vasilis Niarchos , Niels A. Obers

We find the local form of all non-closed Lorentzian Weyl manifolds $(M,c,\nabla)$ with recurrent curvature tensor.If the dimension of the manifold is greater than 3, then the conformal structure is flat, and the recurrent Weyl structure is…

Differential Geometry · Mathematics 2024-08-15 Andrei Dikarev , Anton S. Galaev , Eivind Schneider

We study the constraints on five-dimensional N=1 heterotic M-theory imposed by a consistent anomaly-free coupling of bulk and boundary theory. This requires analyzing the cancellation of triangle gauge anomalies on the four-dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Andre Lukas , K. S. Stelle

We compute the one-loop expectation value of light-like polygonal Wilson loops in N=4 super-Yang-Mills theory in full superspace. When projecting to chiral superspace we recover the known results for tree-level…

High Energy Physics - Theory · Physics 2012-06-18 Niklas Beisert , Song He , Burkhard U. W. Schwab , Cristian Vergu

We study maximal supergravity in two dimensions, obtained from reduction of IIA supergravity on an $S^8$ sphere. The theory captures the low-lying fluctuations around the non-conformal D0-brane near-horizon geometry, dual to operators in…

High Energy Physics - Theory · Physics 2025-06-03 Alfred Bovon , Henning Samtleben , Dimitrios Tsimpis

A quick review on the analytical aspects of holographic superconductors (HSC) with Weyl corrections has been presented. Mainly we focus on matching method and variations approaches. Different types of such HSC have been investigated,…

High Energy Physics - Theory · Physics 2018-10-09 Davood Momeni , Muhammad Raza , Ratbay Myrzakulov

We show how one-loop corrections to scattering amplitudes of scalars and gauge bosons can be obtained from tree amplitudes in one higher dimension. Starting with a complete tree-level scattering amplitude of n+2 particles in five…

High Energy Physics - Theory · Physics 2016-08-24 Freddy Cachazo , Song He , Ellis Ye Yuan

Using a six-orientifold on top of a NS-fivebrane we construct a chiral N=1 supersymmetric gauge theory in four dimensions with gauge group SU(N_c) and matter in the symmetric, antisymmetric and (anti)fundamental representations. Anomaly…

High Energy Physics - Theory · Physics 2009-10-31 Karl Landsteiner , Esperanza Lopez , David A. Lowe
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