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In terms of Dirac matrices the self-dual and anti-self-dual decomposition of a conformal supergravity is given and a self-dual conformal supergravity theory is developed as a connection dynamic theory in which the basic dynamic variabes…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Guoying Chee , Yanhua Jia

We find an explicit supergravity background dual to the $\Omega$-deformation of a four-dimensional $\mathcal{N}=2$ SCFT on $\mathbb{R}^4$. The solution can be constructed in the five-dimensional ${\cal N}=4^+$ gauged supergravity and has a…

高能物理 - 理论 · 物理学 2019-08-01 Nikolay Bobev , Fridrik Freyr Gautason , Kiril Hristov

A non geometric sector of the duality group emerging in Kaluza-Klein reductions is realized as an effective symmetry in the low energy action of uncompactified type II theories. This is achieved by extending the so called $\beta$ symmetry…

高能物理 - 理论 · 物理学 2025-04-04 Walter H. Baron , Nahuel A. Yazbek

The electric or magnetic field of an ideal dipole is known to have a Dirac delta function at the origin. The usual textbook derivation of this delta function is rather ad hoc and cannot be used to calculate the delta-function structure for…

经典物理 · 物理学 2017-01-26 Edward Parker

We consider a four-dimensional N=2 gauged supergravity coupled to matter fields. The model is obtained by a U(1) gauging of a charged hypermultiplet and therefore it is suitable for the study of holographic superconductivity. The potential…

高能物理 - 理论 · 物理学 2015-06-05 Francesco Aprile

The (4,0) supermultiplet in 6 dimensions contains a 4th rank tensor gauge field with the symmetries of the Riemann tensor and is superconformal, with 32+32 supersymmetries. Dimensional reduction on a circle gives the 5D N=8 supergravity…

高能物理 - 理论 · 物理学 2022-09-26 Chris Hull

Recently, we have constructed the conformal gravity with metric and torsion, finding the gravitational field equations that give the conservation laws and trace condition; in the present paper we apply this theory to the case of the Dirac…

广义相对论与量子宇宙学 · 物理学 2014-04-11 Luca Fabbri

We study the spectrum and dynamics of a one-dimensional discrete Dirac operator in a random potential obtained by damping an i.i.d. environment with an envelope of type $n^{-\alpha}$ for $\alpha>0$. We recover all the spectral regimes…

数学物理 · 物理学 2020-06-24 Olivier Bourget , Gregorio R. Moreno Flores , Amal Taarabt

We find the bosonic sector of the gauged supergravities that are obtained from 11-dimensional supergravity by Scherk-Schwarz dimensional reduction with flux to any dimension D. We show that, if certain obstructions are absent, the…

高能物理 - 理论 · 物理学 2009-11-11 C. M. Hull , R. A. Reid-Edwards

Gravitational wave signals from extreme mass ratio inspirals are a key target for space-based gravitational wave detectors. These systems are typically modeled as a distributionally-forced Teukolsky equation, where the smaller black hole is…

广义相对论与量子宇宙学 · 物理学 2025-09-16 Manas Vishal , Scott E. Field , Katie Rink , Sigal Gottlieb , Gaurav Khanna

The definition of the locally covariant Dirac field is adapted such that it may be charged under a gauge group and in the presence of generic gauge and Yukawa background fields. We construct renormalized Wick powers and time-ordered…

数学物理 · 物理学 2014-01-16 Jochen Zahn

In a multidimensional Kaluza-Klein model with Ricci-flat internal space, we study the gravitational field in the weak-field limit. This field is created by two coupled sources. First, this is a point-like massive body which has a dust-like…

广义相对论与量子宇宙学 · 物理学 2017-11-03 Alexander Zhuk , Alexey Chopovsky , Seyed Hossein Fakhr , Valerii Shulga , Han Wei

Modified gravity theories include $f(\mathbf{R})-$gravity models that are usually constrained by the cosmological evolutionary scenario. However, it has been recently shown that they can also be constrained by the signatures of accretion…

广义相对论与量子宇宙学 · 物理学 2018-04-03 R. Kh. Karimov , R. N. Izmailov , A. A. Potapov , K. K. Nandi

We propose a universal description of dark energy and modified gravity that includes all single-field models. By extending a formalism previously applied to inflation, we consider the metric universally coupled to matter fields and we write…

高能物理 - 理论 · 物理学 2015-06-11 Giulia Gubitosi , Federico Piazza , Filippo Vernizzi

This paper deals with the variational analysis of topological singularities in two dimensions. We consider two canonical zero-temperature models: the core radius approach and the Ginzburg-Landau energy. Denoting by $\varepsilon$ the length…

偏微分方程分析 · 数学 2017-11-15 Lucia De Luca , Marcello Ponsiglione

Deviations from scale invariance resulting from small perturbations of a general two dimensional conformal field theory are studied. They are expressed in terms of beta functions for renormalization of general couplings under local change…

高能物理 - 理论 · 物理学 2009-10-22 A. Babichenko , S. Elitzur

We analyse quantum properties of ${\cal N}=2$ and ${\cal N}=4$ supersymmetric gauge theories formulated in terms of ${\cal N}=1$ superfields and investigate the conditions imposed on a renormalization prescription under which the…

高能物理 - 理论 · 物理学 2023-05-24 Sergei Aleshin , Konstantin Stepanyantz

Models with an extra dimension generally contain background scalar fields in a non-trivial configuration, whose stability must be ensured. With gravity present, the extra dimension is warped by the scalars, and the spin-0 degrees of freedom…

高能物理 - 理论 · 物理学 2011-10-07 Damien P. George

We consider the problem of recovering a linear combination of Dirac delta functions and derivatives from a finite number of Fourier samples corrupted by noise. This is a generalized version of the well-known spike recovery problem, which is…

数值分析 · 数学 2016-10-13 Dmitry Batenkov

We consider a general Kaluza-Klein reduction of a truncated Lovelock theory. We find necessary geometric conditions for the reduction to be consistent. The resulting lower-dimensional theory is a higher derivative scalar-tensor theory,…

高能物理 - 理论 · 物理学 2014-12-04 C. Charmousis , B. Goutéraux , E. Kiritsis