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We briefly review some results in the theory of quantum $W_3$ gravity in the chiral gauge. We compare them with similar results in the analogous but simpler cases of $d=2$ induced gauge theories and $d=2$ induced gravity.

高能物理 - 理论 · 物理学 2007-05-23 Kareljan Schoutens , Alexander Sevrin , Peter van Nieuwenhuizen

We propose a direct correspondence between the classical evolution equations of 5-d supergravity and the renormalization group (RG) equations of the dual 4-d large $N$ gauge theory. Using standard Hamilton-Jacobi theory, we derive first…

高能物理 - 理论 · 物理学 2009-10-31 J. de Boer , E. Verlinde , H. Verlinde

We consider two-dimensional quantum gravity coupled to matter fields which are renormalizable, but not conformal invariant. Questions concerning the $\b$ function and the effective action are addressed, and the effective action and the…

高能物理 - 理论 · 物理学 2009-10-22 Jan Ambjorn , Kazuo Ghoroku

Chiral algebras in the cohomology of the $\overline{Q}_+$ supercharge of two-dimensional $\mathcal{N}=(0,2)$ theories on flat spacetime are discussed. Using the supercurrent multiplet, we show that the answer is renormalization group…

高能物理 - 理论 · 物理学 2018-01-23 Mykola Dedushenko

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…

高能物理 - 理论 · 物理学 2010-11-01 W. Siegel

We consider supergravity configuration of D5 branes wrapped on supersymmetric 2-cycles and use it to calculate one-point and two-point Green functions of some special operators in N=2 super Yang-Mills theory. We show that Green functions…

高能物理 - 理论 · 物理学 2009-11-07 Xiao-Jun Wang , Seng Hu

We study the SU(3)-invariant relevant deformation of D=4 N=4 SU(N) gauge theory at large N using the AdS/CFT correspondence. At low energies, we obtain a nonsupersymmetric gauge theory with three left-handed quarks in the adjoint of SU(N).…

高能物理 - 理论 · 物理学 2014-11-18 Jacques Distler , Frederic Zamora

We reduce the dual version of $D=10$, $N=1$ supergravity coupled to $n$ vector fields to four dimensions, and derive the $SL(2,R)\times O(6,6+n)$ transformations which leave the equations of motion invariant. For $n=0$ $SL(2,R)$ is also a…

高能物理 - 理论 · 物理学 2016-09-06 H. J. Boonstra , M. de Roo

We argue that four-dimensional quantum gravity may be essentially renormalizable if one relaxes the assumption of metricity of the theory. We work with Plebanski formulation of general relativity in which the metric (tetrad), the…

高能物理 - 理论 · 物理学 2007-05-23 Kirill Krasnov

We derive non-linear recursion relations for the leading chiral logarithms (LLs). These relations not only provide a very efficient method of computation of LLs (e.g. the 33-loop contribution is calculated in a dozen of seconds on a PC) but…

高能物理 - 唯象学 · 物理学 2010-04-21 N. Kivel , M. V. Polyakov , A. Vladimirov

We consider the chiral ring of the pure N=1 supersymmetric gauge theory with SU(N) gauge group and show that the classical relation S^{N^2}=0 is modified to the exact quantum relation (S^N-\Lambda^{3N})^N=0.

高能物理 - 理论 · 物理学 2009-11-10 Marco Matone , Luca Mazzucato

We give N=1 supersymmetric extension of D=4 dual gravity non-linear action proposed in arXiv:0806.2775. The dual supergravity action and symmetries of the model, but supersymmetry, are realized in a local way.

高能物理 - 理论 · 物理学 2008-07-24 A. J. Nurmagambetov

A new four-dimensional $N=1$ superfield model is suggested. The model is induced by supertrace anomaly of matter superfields in curved superspace and leads to effective theory of supergravity chiral compensator. A renormalization structure…

高能物理 - 理论 · 物理学 2009-10-28 I. L. Buchbinder , A. Yu. Petrov

It is argued that N=6 supergravity on $AdS_5$, with gauge group $SU(3)\times U(1)$ corresponds, at the classical level, to a subsector of the ``chiral'' primary operators of N=4 Yang-Mills theories. This projection involves a ``duality…

高能物理 - 理论 · 物理学 2007-05-23 S. Ferrara , M. Porrati , A. Zaffaroni

The IR divergences of supergravity amplitudes are less severe than those of planar SYM amplitudes, and are comparable to those subleading-color SYM amplitudes that are most subleading in the 1/N expansion, namely O(1/epsilon^L) for L-loop…

高能物理 - 理论 · 物理学 2015-06-03 Stephen G. Naculich , Horatiu Nastase , Howard J. Schnitzer

We construct supergravity theories in twelve and thirteen dimensions with the respective signatures (10,2) and (11,2) with some technical details. Starting with N=1 supergravity in 10+2 dimensions coupled to Green-Schwarz superstring, we…

高能物理 - 理论 · 物理学 2009-10-31 Hitoshi Nishino

An overview of matter-coupled ${\cal N}=2$ supergravity theories with 8 real supercharges, in 4,5 and 6 dimensions is given. The construction of the theories by superconformal methods is explained from basic principles. Special geometry is…

高能物理 - 理论 · 物理学 2020-04-27 Edoardo Lauria , Antoine Van Proeyen

In this article actions for N=4 SYM and N=8 supergravity are formulated in terms of a chiral superfield, which contains only the physical degrees of freedom of either theory. In these new actions, which originate from the lightcone…

高能物理 - 理论 · 物理学 2011-08-29 Johannes Broedel , Renata Kallosh

An effective action for $N=1$, 2d-induced supergravity in the chiral gauge is obtained on a compact super Riemann surface without boundary and of arbitrary genus.

高能物理 - 理论 · 物理学 2009-09-25 H. Kachkachi

A new $N=1$ superfield model in $D=4$ flat superspace is suggested. This model describes dynamics of chiral compensator and can be treated as a low-energy limit of $D=4$, $N=1$ quantum superfield supergravity. Renormalization structure of…

高能物理 - 理论 · 物理学 2009-10-30 I. L. Buchbinder , A. Yu. Petrov