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These are expanded notes for a short series of lectures, presented at the University of Luxembourg in 2017, giving an introduction to some of the ideas of supersymmetry and supergeometry. In particular, we start from some motivating facts…

微分几何 · 数学 2025-01-07 Andrew James Bruce

Beginning from a discussion of the known most fundamental dynamical structures of the Standard Model of physics, extended into the realms of mathematics and theory by the concept of "supersymmetry" or "SUSY," an introduction to efforts to…

数学物理 · 物理学 2020-12-18 Mathew Calkins , S. James Gates , Caroline Klivans

Talk presented at the conference on representation theory and harmonic analysis at Saclay, the talk presented the development in conformal field theory since 1968

高能物理 - 理论 · 物理学 2019-02-12 Gerhard Mack

It is commonly believed that a unitary supersymmetric quantum field theory (QFT) involving graviton and gravitino fields on fixed 4-dimensional de Sitter spacetime ($dS_{4}$) cannot exist due to known challenges associated with…

高能物理 - 理论 · 物理学 2025-11-10 Atsushi Higuchi , Vasileios A. Letsios

The paper addresses the question whether in four spacetime dimensions, besides standard supergravity theories, field theories exist whose symmetries include local spacetime translations and supersymmetries generated by transformations whose…

高能物理 - 理论 · 物理学 2023-10-10 Friedemann Brandt

The scalar fields of supersymmetric models are coordinates of a geometric space. We propose a formulation of supersymmetry that is covariant with respect to reparametrizations of this target space. Employing chiral multiplets as an example,…

高能物理 - 理论 · 物理学 2017-04-26 Daniel Z. Freedman , Diederik Roest , Antoine Van Proeyen

An overview is given of the application of twistor geometric ideas to supersymmetry with particular emphasis on the construction of superspaces associated with four-dimensional spacetime. Talk given at Leuven conference, July 1995.

高能物理 - 理论 · 物理学 2007-05-23 P. S. Howe

In this review, we give a pedagogical introduction to a systematic framework for constructing and analyzing supersymmetric field theories on curved spacetime manifolds. The framework is based on the use of off-shell supergravity background…

高能物理 - 理论 · 物理学 2017-10-25 Thomas T. Dumitrescu

It is commonly believed that a unitary supersymmetric quantum field theory (QFT) involving graviton and gravitino fields on fixed 4-dimensional de Sitter spacetime ($dS_4$) cannot exist due to known challenges associated with supersymmetry…

高能物理 - 理论 · 物理学 2025-11-20 Atsushi Higuchi , Vasileios A. Letsios

These are notes of a series of lectures on mirror symmetry and topological string theory given at the Mathematical Sciences Center at Tsinghua University. The N=2 superconformal algebra, its deformations and its chiral ring are reviewed. A…

高能物理 - 理论 · 物理学 2012-07-04 Murad Alim

The different aspects of superstring phenomenology before and after 1995 are briefly reviewed. (Contribution to the conference SUSY97)

高能物理 - 唯象学 · 物理学 2009-10-30 Fernando Quevedo

In [arXiv:0808.1677] 3 dimensional field theories are proposed to on-shell represent N=8 SUSY algebra and SO(7) or SO(4)xSO(4) subgroups of full SO(8) automorphism. They are theories of 8 scalar and 8 spinor matrix fields with Yukawa,…

高能物理 - 理论 · 物理学 2009-02-24 Mahdi Torabian

This lecture consists of two parts. The first is a (totally unsystematic) survey of some of the high points in the evolution of gravity and its successors, primarily in the course of the past century. The second summarizes some new work on…

高能物理 - 理论 · 物理学 2017-08-23 S. Deser

We develop classical globally supersymmetric theories. As much as possible, we treat various dimensions and various amounts of supersymmetry in a uniform manner. We discuss theories both in components and in superspace. Throughout we…

高能物理 - 理论 · 物理学 2007-05-23 Pierre Deligne , Daniel S. Freed

This paper is a collection of lecture notes on the superfield approach in three- and four-dimensional supersymmetric quantum field theory. Many examples of the applications of this approach to different superfield models are considered.

高能物理 - 理论 · 物理学 2021-03-02 A. Yu. Petrov

There exist many four dimensional integrable theories. They include self-dual gauge and gravity theories, all their extended supersymmetric generalisations, as well the full (non-self-dual) N=3 super Yang-Mills equations. We review the…

高能物理 - 理论 · 物理学 2015-06-26 Ch. Devchand , V. Ogievetsky

In these lectures we discuss the supersymmetry algebra and its irreducible representations. We construct the theories of rigid supersymmetry and gave their superspace formulations. The perturbative quantum properties of the extended…

高能物理 - 理论 · 物理学 2007-05-23 P. C. West

M. Takeuchi (1989) proposed a Hopf-algebraic approach to Picard-Vessiot (or PV) theory, giving a new definition of PV extensions by which such extensions become more smoothly connected, through Hopf-Galois extensions, to the associated…

代数几何 · 数学 2023-08-29 Akira Masuoka

This brief set of notes presents a modest introduction to the basic features entering the construction of supersymmetric quantum field theories in four-dimensional Minkowski spacetime, building a bridge from similar lectures presented at a…

高能物理 - 理论 · 物理学 2007-05-23 Jan Govaerts

This contribution follows the talk, given by F. Delduc at the conference SQS'2011 in Dubna, Russia (July 18-23, 2011). To a considerable extent it is a summary of known facts about the links between geometry and extended supersymmetry in…

高能物理 - 理论 · 物理学 2015-06-03 F. Delduc , E. Ivanov