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A string action is considered in four spacetime dimensions which is obtained by dimensionally reducing the ten dimensional effective action. The equations of motion admit string like solutions. The symmetry properties of the four…

High Energy Physics - Theory · Physics 2009-10-28 Jnanadeva Maharana

In this paper, we present a semi-proximal alternating direction method of multipliers (ADMM) for solving $3$-block separable convex minimization problems with the second block in the objective being a strongly convex function and one…

Optimization and Control · Mathematics 2015-06-24 Min Li , Defeng Sun , Kim-Chuan Toh

In this paper, we propose and analyze an inexact version of the symmetric proximal alternating direction method of multipliers (ADMM) for solving linearly constrained optimization problems. Basically, the method allows its first subproblem…

Optimization and Control · Mathematics 2020-06-05 Vando A. Adona , Max L. N. Gonçalves

We compute a family of scalar loop diagrams in $AdS$. We use the spectral representation to derive various bulk vertex/propagator identities, and these identities enable to reduce certain loop bubble diagrams to lower loop diagrams, and…

High Energy Physics - Theory · Physics 2021-05-31 Dean Carmi

The massive non-relativistic free particle in d-1 space dimensions has an action with a surprizing non-linearly realized SO(d,2) symmetry. This is the simplest example of a host of diverse one-time-physics systems with hidden SO(d,2)…

High Energy Physics - Theory · Physics 2016-08-25 Itzhak Bars

In this addendum note we fill in the gap left in \cite{ls} in the description of 2D homogeneous solutions to the stationary Euler system with the help of the results of \cite{sd}. This gives a complete classification of all solutions. The…

Analysis of PDEs · Mathematics 2016-08-02 Xue Luo , Roman Shvydkoy

In this paper, we present two novel analytic AdS black hole solutions in a two-dimensional dilaton gravity theory with two scalar fields non-minimally coupled to gravity. Our solutions contain two arbitrary integration constants in the…

High Energy Physics - Theory · Physics 2026-03-26 Uriel Noriega-Cornelio , Alfredo Herrera-Aguilar , Cupatitzio Ramírez-Romero

We develop a systematic approach to evaluating AdS loop amplitudes based on the spectral (or "split") representation of bulk-to-bulk propagators, which re-expresses loop diagrams in terms of spectral integrals and higher-point tree…

High Energy Physics - Theory · Physics 2018-08-03 Simone Giombi , Charlotte Sleight , Massimo Taronna

According to the Alday-Maldacena program the strong coupling limit of Super Yang-Mills scattering amplitudes is given by minimal area surfaces in AdS spacetime with a boundary consisting of a momentum space polygon. The string equations in…

High Energy Physics - Theory · Physics 2010-03-19 Antal Jevicki , Kewang Jin

We construct infinite new classes of $AdS_4\times S^1\times S^5$ solutions of type IIB string theory which have non-trivial $SL(2,\mathbb{Z})$ monodromy along the $S^1$ direction. The solutions are supersymmetric and holographically dual,…

High Energy Physics - Theory · Physics 2023-01-11 Igal Arav , K. C. Matthew Cheung , Jerome P. Gauntlett , Matthew M. Roberts , Christopher Rosen

It was recently shown that IIB supergravity on AdS$_5\times$S$^5$ enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two…

High Energy Physics - Theory · Physics 2022-03-30 Theresa Abl , Paul Heslop , Arthur E. Lipstein

In this thesis we study embedding formalisms for $\mathcal{N}$-extended anti-de Sitter (AdS) superspaces in four and five dimensions. Specifically, building on earlier work in the four-dimensional case, we develop bi-supertwistor…

High Energy Physics - Theory · Physics 2026-05-28 Nowar E. Koning

AdS/QCD is an extra-dimensional approach to modeling hadronic physics, motivated by the AdS/CFT correspondence in string theory. AdS/QCD models are often more accurate than would have been expected at energies below a few GeV. We address…

High Energy Physics - Phenomenology · Physics 2010-02-16 Joshua Erlich

We derive a gravitational block formula for the supersymmetric action for a general class of supersymmetric AdS solutions, described by GK geometry. Extremal points of this action describe supersymmetric AdS$_3$ solutions of type IIB…

High Energy Physics - Theory · Physics 2023-08-03 Andrea Boido , Jerome P. Gauntlett , Dario Martelli , James Sparks

To search for inequivalent group invariant solutions, a general and systematic approach is established to construct two-dimensional optimal systems, which is based on commutator relations, adjoint matrix and the invariants. The details of…

Group Theory · Mathematics 2014-11-17 Xiaorui Hu , Yuqi Li , Yong Chen

We present a new infinite family of Type IIB supergravity solutions preserving eight supercharges. The structure of the space is $\text{AdS}_2\times\text{S}^2\times \text{CY}_2\times \text{S}^1$ fibered over an interval. These solutions can…

High Energy Physics - Theory · Physics 2021-04-28 Yolanda Lozano , Carlos Nunez , Anayeli Ramirez

In this paper we investigate the properties of the putative 5d fixed point theory that should be dual, through the holographic correspondence, to the new supersymmetric AdS(6) solution constructed in Lozano et al. This solution is the…

High Energy Physics - Theory · Physics 2015-06-17 Yolanda Lozano , Eoin O Colgain , Diego Rodriguez-Gomez

A detailed perturbative construction of globally regular, asymptotically anti-de Sitter (AdS) time-periodic solutions of Einstein's equations with a negative cosmological constant (AdS geons) is presented. Starting with the most general…

General Relativity and Quantum Cosmology · Physics 2017-10-25 Gyula Fodor , Péter Forgács

We propose doubly supersymmetric actions in terms of n=2(D-2) worldline superfields for N=2 superparticles in D=3,4 and Type IIA D=6 superspaces. These actions are obtained by dimensional reduction of superfield actions for N=1…

High Energy Physics - Theory · Physics 2009-10-30 Igor Bandos , Alexey Maznytsia , Dmitri Sorokin

For an effective AdS theory, we present a simple prescription to compute the renormalization of its dual boundary field theory. In particular, we define anomalous dimension holographically as the dependence of the wave-function…

High Energy Physics - Theory · Physics 2015-05-28 JiJi Fan