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We investigate the complex of differential forms in curved, six-dimensional, $N=(1,0)$ superspace. The superconformal group acts on this complex by super-Weyl transformations. An ambi-twistor-like representation of a second conformal group…

High Energy Physics - Theory · Physics 2014-02-21 Cesar Arias , William D. Linch , Alexander K. Ridgway

We analyze the recently proposed Spectral Quark Model in the light of Chiral Perturbation Theory in curved space-time. In particular, we calculate the chiral coefficients $L_1, ..., L_{10}$, as well as the coefficients $L_{11}$, $L_{12}$,…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo , W. Broniowski

Five supersymmetric scalar deformations of the AdS_5xS^5 geometry are investigated. By switching on condensates for the scalars in the N=4 multiplet with a form which preserves a subgroup of the original R-symmetry, disk and sphere…

High Energy Physics - Theory · Physics 2008-11-26 Jonathan P. Shock

A previously introduced relativistic energy density functional, successfully applied to ordinary nuclei, is extended to hypernuclei. The density-dependent mean field and the spin-orbit potential are consistently calculated for a $\Lambda$…

Nuclear Theory · Physics 2008-11-26 P. Finelli , N. Kaiser , D. Vretenar , W. Weise

Using a hybrid formalism, superstrings on AdS(3) x S(1) are studied in a manifestly supersymmetric manner. The world-sheet fields in this description including superspace coordinates are obtained through a field redefinition from the…

High Energy Physics - Theory · Physics 2009-11-10 Hiroshi Kunitomo

We present a theoretical study of CMB temperature peaks, including its effect over the polarization field, and allowing nonzero eccentricity. The formalism is developed in harmonic space and using the covariant derivative on the sphere,…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-25 A. Marcos-Caballero , R. Fernández-Cobos , E. Martínez-González , P. Vielva

For the most general off-shell N = 2 supersymmetric sigma model in projective superspace, we elaborate on its formulation in terms of N = 1 chiral superfields. A universal (model-independent) expression is obtained for the holomorphic…

High Energy Physics - Theory · Physics 2015-05-30 Sergei M. Kuzenko

In the spirit of noncommutative geometry we construct all inequivalent vector bundles over the $(2,2)$-dimensional supersphere $S^{2,2}$ by means of global projectors $p$ via equivariant maps. Each projector determines the projective module…

Mathematical Physics · Physics 2014-01-28 Giovanni Landi

We study the non-embddability property for a class of real hypersurfaces, called real hypersurfaces of involution type, into the sphere in the low codimensional case, by making use of property of a naturally related Gauss curvature. We also…

Complex Variables · Mathematics 2012-10-16 Xiaojun Huang , Shanyu Ji , Brandon Lee

We algebraically compute all possible sectional curvature values for canonical algebraic curvature tensors, and use this result to give a method for constructing general sectional curvature bounds. We use a well-known method to…

Differential Geometry · Mathematics 2020-07-15 Maxine Calle , Corey Dunn

Chiral rotation observed in $^{128}$Cs is studied using the newly developed microscopic triaxial projected shell model (TPSM) approach. The observed energy levels and the electromagnetic transition probabilities of the nearly degenerate…

Nuclear Theory · Physics 2015-06-03 G. H. Bhat , J. A. Sheikh , R. Palit

We study the isoperimetric, functional and concentration properties of $n$-dimensional weighted Riemannian manifolds satisfying the Curvature-Dimension condition, when the generalized dimension $N$ is negative, and more generally, is in the…

Differential Geometry · Mathematics 2016-12-20 Emanuel Milman

Bi-quadratic programming over unit spheres is a fundamental problem in quantum mechanics introduced by pioneer work of Einstein, Schr\"odinger, and others. It has been shown to be NP-hard; so it must be solve by efficient heuristic…

Numerical Analysis · Mathematics 2022-08-23 Shigui Li , Linzhang Lu , Xing Qiu , Zhen Chen , Delu Zeng

We construct brane configurations leading to chiral four dimensional N=1 supersymmetric gauge theories. The brane realizations consist of intersecting Neveu-Schwarz five-branes and Dirichlet four-branes in non-flat spacetime backgrounds. We…

High Energy Physics - Theory · Physics 2009-10-30 Joseph Lykken , Erich Poppitz , Sandip P. Trivedi

In this article, we introduce and investigate polynomial curvelets on spheres, which form a class of Parseval frames for $L^2(\mathbb{S}^{d-1})$, $d \geq 3$. The proposed construction offers a directionally sensitive multiscale…

Classical Analysis and ODEs · Mathematics 2026-03-16 Frederic Schoppert

We describe the general geometrical framework of brane world constructions in orientifolds of type IIA string theory with D6-branes wrapping 3-cycles in a Calabi-Yau 3-fold, and point out their immediate phenomenological relevance. These…

High Energy Physics - Theory · Physics 2007-05-23 Ralph Blumenhagen , Volker Braun , Boris Kors , Dieter Lust

In this work we construct a sequence of Riemannian metrics on the three-sphere with scalar curvature greater than or equal to $6$ and arbitrarily large widths. Our procedure is based on the connected sum construction of positive scalar…

Differential Geometry · Mathematics 2015-03-10 Rafael Montezuma

A reflection-asymmetric triaxial particle rotor model with three quasiparticles and a reflection-asymmetric triaxial rotor is developed, and applied to investigate the observed multiple chiral doublets (M\c{hi}D) candidates with octupole…

Nuclear Theory · Physics 2021-08-06 Y. P. Wang , Y. Y. Wang , J. Meng

We study the large N operator spectrum of the (1,0) superconformal chiral six-dimensional theory with E_8 global symmetry. This spectrum is dual to the Kaluza-Klein spectrum of supergravity on AdS_7 X S^4/Z_2 with a ten-dimensional E_8…

High Energy Physics - Theory · Physics 2010-02-03 Eric G. Gimon , Costin Popescu

Chiral symmetry restoration at nonzero temperature and quark densities are investigated in the framework of a linear sigma model with N_f=3 light quark flavors. After the derivation of the grand potential in mean-field approximation, the…

High Energy Physics - Phenomenology · Physics 2009-11-19 Bernd-Jochen Schaefer , Mathias Wagner