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Filliman duality expresses (the characteristic measure of) a convex polytope P containing the origin as an alternating sum of simplices that share supporting hyperplanes with P. The terms in the alternating sum are given by a triangulation…

Metric Geometry · Mathematics 2019-09-16 Greg Kuperberg

The determination of the most straightforward evidence for the existence of the Superworld requires a guide for non-experts (especially experimental physicists) for them to make their own judgement on the value of such predictions. For this…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. Lopez , D. Nanopoulos , A. Zichichi

We argue that the following three statements cannot all be true: (i) our vacuum is a type IIB / F-theory vacuum at moderate-to-large $h^{1,1}$, (ii) the $\alpha'$-expansion is controlled via the supergravity approximation, \`a la the KKLT…

High Energy Physics - Theory · Physics 2020-07-15 Mirjam Cvetic , James Halverson , Ling Lin , Cody Long

New models have recently been proposed in which a second Higgs doublet couples only to the lepton doublets and right-handed neutrinos, yielding Dirac neutrino masses. The vacuum value of this second "nu-Higgs" doublet is made very small by…

High Energy Physics - Phenomenology · Physics 2010-03-19 Gardner Marshall , Mathew McCaskey , Marc Sher

There has been growing interest in generalization performance of large multilayer neural networks that can be trained to achieve zero training error, while generalizing well on test data. This regime is known as 'second descent' and it…

Machine Learning · Statistics 2022-09-30 Eng Hock Lee , Vladimir Cherkassky

We extend strong/weak coupling duality to string theories without spacetime supersymmetry, and focus on the case of the unique ten-dimensional, nonsupersymmetric, tachyon-free $SO(16)\times SO(16)$ heterotic string. We construct a…

High Energy Physics - Theory · Physics 2009-08-18 Julie D. Blum , Keith R. Dienes

We study the non-localization of extended worldsheet supersymmetry under T-duality, when the associated complex structure depends on the coordinate with respect to which duality is performed. First, the canonical transformation which…

High Energy Physics - Theory · Physics 2009-10-28 S. F. Hassan

In a predicative framework from basic logic, defined for a model of quantum parallelism by sequents, we characterize a class of first order domains, termed {\em virtual singletons}, which allows a generalization of the notion of duality,…

Logic · Mathematics 2015-06-15 Giulia Battilotti

If the standard electroweak gauge model is embedded in a larger theory which is supersymmetric and the latter breaks down to the former at some mass scale, then the reduced Higgs potential at the electroweak mass scale may differ from that…

High Energy Physics - Phenomenology · Physics 2009-10-22 Ernest Ma , Daniel Ng

The new phenomenon of symbiotic symmetries is described in the context of the Two-Higgs-Doublet Model (THDM). The quartic potential has two or more separate sectors with unequal symmetries, but these unequal symmetries persist even though…

High Energy Physics - Phenomenology · Physics 2010-01-07 Ernest Ma , Markos Maniatis

Relative smoothness and strong convexity have recently gained considerable attention in optimization. These notions are generalizations of the classical Euclidean notions of smoothness and strong convexity that are known to be dual to each…

Optimization and Control · Mathematics 2024-04-17 Emanuel Laude , Andreas Themelis , Panagiotis Patrinos

We study the symmetries of the soliton spectrum of a pair of T-dual integrable models, invariant under global $SL(2)_q\otimes U(1)$ transformations. They represent an integrable perturbation of the reduced Gepner parafermions, based on…

High Energy Physics - Theory · Physics 2009-11-10 J. F. Gomes , G. M. Sotkov , A. H. Zimerman

Models with a light, additional gauge boson are attractive extensions of the standard model. Often these models are only considered as effective low energy theory without any assumption about an UV completion. This leaves not only the…

High Energy Physics - Phenomenology · Physics 2017-09-06 Bin Zhu , Florian Staub , Ran Ding

We construct several examples where duality transformation commutes with the orbifolding procedure even when the orbifolding group does not act freely, and there are massless states from the twisted sector at a generic point in the moduli…

High Energy Physics - Theory · Physics 2009-09-15 Ashoke Sen

The prototype hybrid SUSY SU(5) inflation models, while well motivated from particle physics, and while allowing an acceptable inflationary phase with little or no fine tuning, are shown to have two fundamental phenomenological problems.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gia Dvali , Lawrence M. Krauss , Hong Liu

The Dualized Standard Model offers a natural explanation for Higgs fields and 3 generations of fermions plus a perturbative method for calculating SM parameters. By adjusting only 3 parameters, 14 quark and lepton masses and mixing…

High Energy Physics - Phenomenology · Physics 2011-04-15 HM Chan , J Bordes , ST Tsou

Suitable duals of multimodules are introduced and used to provide transposition contravariant right semi-adjunctions (and dualitites under reflexivity). Several additional notions on multimodules are discussed: generalized morphisms and…

Category Theory · Mathematics 2025-08-28 Paolo Bertozzini , Roberto Conti , Chatchai Puttirungroj

We reconsider a cosmological evolution of domain walls produced by spontaneous breaking of an approxime discrete symmetry. We show, that domain walls may never collapse even if the standard bound on the vacuum energy asymmetry is satisfied.…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. Dvali , Z. Tavartkiladze , J. Nanobashvili

The self-duality of the transverse-field Ising model is an archetype for dualities that, alongside symmetry and topology, are used as an organizing principle throughout modern physics. This duality, however, is not exact. The original and…

Strongly Correlated Electrons · Physics 2026-05-14 José Dupont , Jasper van Wezel

Superconformal sigma models with Calabi--Yau target spaces described as complete intersection subvarieties in toric varieties can be obtained as the low-energy limit of certain abelian gauge theories in two dimensions. We formulate mirror…

High Energy Physics - Theory · Physics 2011-10-11 David R. Morrison , M. Ronen Plesser