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We present evidence for renormalization group fixed points with dual magnetic descriptions in fourteen new classes of four-dimensional $N=1$ supersymmetric models. Nine of these classes are chiral and many involve two or three gauge groups.…

高能物理 - 理论 · 物理学 2009-10-28 K. Intriligator , R. G. Leigh , M. J. Strassler

The super-Weyl cocycle (effective action for supertrace anomaly) and corresponding invariant operator in nonminimal formulation of $d=4$,$N=1$ supergravity are obtained.

高能物理 - 理论 · 物理学 2009-10-28 R. P. Manvelyan

We perform a generalized dimensional reduction of six dimensional supergravity theories to five dimensions. We consider the minimal $(2,0)$ and the maximal $(4,4)$ theories. In each case the reduction allows us to obtain gauged…

高能物理 - 理论 · 物理学 2010-02-03 L. Andrianopoli , S. Ferrara , M. A. Lledo

This review provides a detailed introduction to chiral gauge theories, renormalization theory, and the application of dimensional regularization with the non-anticommuting BMHV scheme for $\gamma_5$. One goal is to show how chiral gauge…

We study supersymmetric $SU(N-4)$ gauge theories with a symmetric tensor and $N$ antifundamental representations. The theory with $W=0$ has a dual description in terms of a non-chiral $Spin(8)$ theory with one spinor and $N$ vectors. This…

高能物理 - 理论 · 物理学 2014-11-18 P. Pouliot , M. J. Strassler

We gauge the abelian hierarchy of tensor fields in 4D by a Lie algebra. The resulting non-abelian tensor hierarchy can be interpreted via an equivariant chain complex. We lift this structure to N=1 superspace by constructing superfield…

高能物理 - 理论 · 物理学 2016-06-27 Katrin Becker , Melanie Becker , William D. Linch , Daniel Robbins

The assumptions behind the recently conjectured relation between gauge theory and supergravity are elaborated on. It is pointed out that the scaling limit that preserves supergravity solutions, gives the entire DBI action on the gauge…

高能物理 - 理论 · 物理学 2009-10-31 S. P. de Alwis

Using a convolutive field theoretic product, it is shown here that the "square" of an Abelian $D=6$, $\mathcal{N}=(2,0)$ theory yields the free $D=6$, $\mathcal{N}=(4,0)$ theory constructed by Hull, together with its generalised…

高能物理 - 理论 · 物理学 2018-03-19 L. Borsten

We consider the general $\mathcal{N}{=}\,4,$ $d{=}\,3$ Galilean superalgebra with arbitrary central charges and study its dynamical realizations. Using the nonlinear realization techniques, we introduce a class of actions for…

高能物理 - 理论 · 物理学 2018-05-23 Sergey Fedoruk , Evgeny Ivanov , Jerzy Lukierski

The exact renormalization group equation for pure quantum gravity is derived for an arbitrary gauge parameter in the space-time dimension $d=4$. This equation is given by a non-linear functional differential equation for the effective…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Wataru Souma

We consider one of the well-known solutions in eleven-dimensional supergravity where the seven-dimensional Einstein space is given by a SO(3)-bundle over the CP^2. By reexaming the AdS_4 supergravity scalar potential, the holographic…

高能物理 - 理论 · 物理学 2009-02-12 Changhyun Ahn

The text is an essentially self-contained introduction to four-dimensional N=1 supergravity, including its couplings to super Yang-Mills and chiral matter multiplets, for readers with basic knowledge of standard gauge theories and general…

高能物理 - 理论 · 物理学 2015-06-26 Friedemann Brandt

We study flows on the scalar manifold of N=8 gauged supergravity in five dimensions which are dual to certain mass deformations of N=4 super Yang--Mills theory. In particular, we consider a perturbation of the gauge theory by a mass term…

高能物理 - 理论 · 物理学 2009-10-31 A. Brandhuber , K. Sfetsos

In the context of gauge/gravity duality, we try to understand better the proposed duality between the fractional D2-brane supergravity solutions of (Nucl. Phys. B 606 (2001) 18, hep-th/0101096) and a confining 2+1 dimensional gauge theory.…

高能物理 - 理论 · 物理学 2009-11-07 Christopher P. Herzog

We give the superalgebra of $N=2$ chiral (and antichiral) quantum superfields realized as a subalgebra of the quantum supergroup $\mathrm{SL}_q(4|2)$. The multiplication law in the quantum supergroup induces a coaction on the set of chiral…

量子代数 · 数学 2022-09-14 R. Fioresi , M. A. Lledo , J. Razzaq

Poincar\'e Gauge Theories are a class of Metric-Affine Gravity theories with a metric-compatible (i.e. Lorentz) connection and with an action quadratic in curvature and torsion. We perform an explicit one-loop calculation starting with a…

高能物理 - 理论 · 物理学 2023-07-06 Oleg Melichev , Roberto Percacci

The non-renormalization theorems of chiral vertex functions are derived on the basis of an algebraic analysis. The property, that the interaction vertex is a second supersymmetry variation of a lower dimensional field monomial, is used to…

高能物理 - 理论 · 物理学 2009-10-31 R. Flume , E. Kraus

As a preparation for the study of {\it arbitrary} extensions of $d=2$ gravity we present a detailed investigation of $SO(N)$ supergravity. By gauging a chiral, nilpotent subgroup of the $OSp(N|2)$ Wess-Zumino-Witten model we obtain an all…

高能物理 - 理论 · 物理学 2009-10-22 Alexander Sevrin , Kris Thielemans , Walter Troost

We show that the half-maximal SU(2) gauged supergravity with topological mass term admits coupling of an arbitrary number of n vector multiplets. The chiral circle reduction of the ungauged theory in the dual 2-form formulation gives…

高能物理 - 理论 · 物理学 2009-11-11 E. Bergshoeff , D. C. Jong , E. Sezgin

We discuss a new interaction for chiral models in four-dimensional ${\cal N}=1$ supergavity. It contains a new arbitrary function in addition to the K\"ahler potential and superpotential. Its features include linearly realized off-shell…

高能物理 - 理论 · 物理学 2018-07-04 Fotis Farakos , Alex Kehagias , Antonio Riotto