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This is a book on derived foliations, that are a generalisation of classical foliations in the context of derived geometry. The text starts with the basic definitions and constructions, then explore foliated cohomology (with crystal…

Algebraic Geometry · Mathematics 2025-07-31 Bertrand Toen , Gabriele Vezzosi

This is a brief review of my work on the correspondence between four-dimensional $\mathcal{N} = 1$ supersymmetric field theories realized by brane tilings and two-dimensional integrable lattice models. I explain how to construct integrable…

High Energy Physics - Theory · Physics 2017-01-09 Junya Yagi

This is a reference volume on polyfold and Fredholm theory.

Functional Analysis · Mathematics 2017-07-28 Helmut Hofer , Krzysztof Wysocki , Eduard Zehnder

In brane-worlds, our universe is assumed to be a submanifold, or brane, embedded in a higher-dimensional bulk spacetime. Focusing on scenarios with a curved five-dimensional bulk spacetime, I discuss their gravitational and cosmological…

General Relativity and Quantum Cosmology · Physics 2017-08-23 David Langlois

This work is a continuation of [1]. As in the previous article, here we will describe some interesting ideas and a lot of new theorems in plane geometry related to them.

History and Overview · Mathematics 2018-02-13 A. Skutin

In the early Universe matter was crushed to high densities, in a manner similar to that encountered in gravitational collapse to black holes. String theory suggests that the large entropy of black holes can be understood in terms of…

High Energy Physics - Theory · Physics 2008-11-26 Borun D. Chowdhury , Samir D. Mathur

Unified theories suggest that space is intrinsically 10 dimensional, even though everyday phenomena seem to take place in only 3 large dimensions. In ``Brane World'' models, matter and radiation are localized to a ``brane'' which has a…

Astrophysics · Physics 2009-11-06 Craig J. Hogan

A pedagogical introduction to aspects of string cosmology, including the landscape (BPBT) solution to the cosmological constant problem, brane-antibrane inflation, warped compactification, the KKLMMT model, the eta problem of SUGRA models,…

High Energy Physics - Theory · Physics 2016-09-22 James M. Cline

Homogeneous cosmology in the braneworld can be studied without solving bulk equations of motion explicitly. The reason is simply because the symmetry of the spacetime restricts possible corrections in the 4-dimensional effective equations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jiro Soda , Sugumi Kanno

This paper focuses on a new approach to plane geometry and develops important concepts that can allow researchers to unite and observe plane geometry from a new, meaningful perspective.

Metric Geometry · Mathematics 2021-06-10 Alexander Skutin

Recently, Pani, Sotiriou, and Vernieri explored a new theory of gravity by adding nondynamical fields, i.e., gravity with auxiliary fields [Phys. Rev. D 88, 121502(R) (2013)]. In this gravity theory, higher-order derivatives of matter…

High Energy Physics - Theory · Physics 2015-03-12 Bin Guo , Yu-Xiao Liu , Ke Yang

We study classical dynamics of a probe Dp-brane moving in a background sourced by a stack of Dp-branes. In this context the physics is similar to that of the effective action for open-string tachyon condensation, but with a power-law…

High Energy Physics - Theory · Physics 2009-11-10 Omid Saremi , Lev Kofman , Amanda W. Peet

The recent HST optical images, and the optical and ultraviolet spectra, of Magellanic planetary nebulae (PNe), together with the large data-base that has been collected in the past decade, allows unprecedented insight in the evolution of…

Astrophysics · Physics 2007-05-23 Letizia Stanghellini

We consider p-branes with one or more circular directions fibered over the transverse space. The fibration, in conjunction with the transverse space having a blown-up cycle, enables these p-brane solutions to be completely regular. Some…

High Energy Physics - Theory · Physics 2014-12-30 Justin F. Vazquez-Poritz , Zhibai Zhang

A simple model of the brane-world cosmology has been proposed, which is characterized by four parameters, the bulk cosmological constant, the spatial curvature of the universe, the radiation strength arising from bulk space-time and the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Daisuke Ida

Brane systems provide a large class of gauge theories that arise in string theory. This paper demonstrates how such brane systems fit with a somewhat exotic geometric object, called the affine Grassmannian. This gives a strong motivation to…

High Energy Physics - Theory · Physics 2021-04-07 Antoine Bourget , Julius F. Grimminger , Amihay Hanany , Marcus Sperling , Zhenghao Zhong

Contents: Some Fundamental definitions; Bremsstrahlung and black body; Beaming; Synchrotron emission and absorption; Compton scattering; Synchrotron Self-Compton; Pairs; Active Galactic Nuclei.

High Energy Astrophysical Phenomena · Physics 2015-06-04 Gabriele Ghisellini

Brane world cosmologies seem to provide an alternative explanation for the present accelerated stage of the Universe with no need to invoke either a cosmological constant or an exotic \emph{quintessence} component. In this paper we…

Astrophysics · Physics 2009-11-07 D. Jain , A. Dev , J. S. Alcaniz

This article studies the possible degenerations of plane Cremona transformations of some degree into maps of smaller degree.

Algebraic Geometry · Mathematics 2015-09-30 Jérémy Blanc , Alberto Calabri

1. Preliminaries. 2. Heterotic string and motivations for large volume compactifications; 2.1 Gauge coupling unification; 2.2 Supersymmetry breaking by compactification. 3. M-theory on S^1/Z_2 \times Calabi-Yau. 4. Type I/I' string theory…

High Energy Physics - Theory · Physics 2007-05-23 I. Antoniadis