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Symmetry
Special Issues
Supersymmetry and Supersymmetric Field Theories
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Supersymmetry and Supersymmetric Field Theories

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: 31 December 2025 | Viewed by 3440

Special Issue Editor

Prof. Dr. Vladimir K. Dobrev

E-Mail Website
Guest Editor
Laboratory of Theory of Elementary Particles, Division of Theoretical and Mathematical Physics, Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigradsko Shaussee, 1784 Sofia, Bulgaria
Interests: general theoretical and mathematical physics; group-theoretical methods; conformal field theory; supersymmetry; quantum groups
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The Special issue “Supersymmetry and Supersymmetric Field Theories” will cover the whole combined field of Supersymmetry applied to Supersymmetric Field Theories in its widest sense. As this represents the interface between mathematics and physics, the Special Issue should serve as a meeting place for theoretical and mathematical physicists and mathematicians. Certainly, one important aspect will be Superstring Theory. Other possible areas will be representation theory of various supersymmetric objects, supergravity, superconformal field theories, supersymmetric objects, super integrable systems, AdS/CFT, relativistic and nonrelativistic holography, gauge super field theories, noncommutative quantum theories, supersymmetry in dynamical systems, and supersymmetry in condensed matter and statistical physics.

Prof. Dr. Vladimir K. Dobrev
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • supergravity
  • superconformal field theories
  • supersymmetric objects
  • super integrable systems
  • AdS/CFT
  • relativistic and nonrelativistic holography
  • gauge super field theories
  • noncommutative quantum theories
  • supersymmetry in dynamical systems
  • supersymmetry in condensed matter and statistical physics

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Published Papers (2 papers)

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Research

23 pages, 370 KiB  
Article
Background Independence and Gauge Invariance in General Relativity Part 2—Covariant Quantum Gravity
by Massimo Tessarotto and Claudio Cremaschini
Symmetry 2022, 14(11), 2229; https://doi.org/10.3390/sym14112229 - 24 Oct 2022
Cited by 2 | Viewed by 1097
Abstract
Background independence is often being claimed as the characteristic property of several current and past models of Quantum Gravity. In actual fact, such a notion has a wider connotation and must be rooted into the validity of the general covariance principle, demanding its [...] Read more.
Background independence is often being claimed as the characteristic property of several current and past models of Quantum Gravity. In actual fact, such a notion has a wider connotation and must be rooted into the validity of the general covariance principle, demanding its logical connection with the notions of manifest covariance and (quantum) gauge invariance. In fact, as we intend to show here, it involves (a) the existence of a well-defined, albeit arbitrary, classical background space-time; and (b) the suitable realization of a dynamical equation for the related background metric field tensor, referred to as quantum-modified Einstein tensor field equation, which actually determines it in a suitable functional setting. Remarkably, it is proved that in the context of the theory of Covariant Quantum Gravity (CQG-theory), recently developed by Cremaschini and Tessarotto (2015–2022), background independence implies that such an equation “emerges” rigorously from the same CQG-theory. This follows in terms of a stochastic quantum expectation value evaluated with respect to the corresponding characteristic quantum PDE. It is shown that an analogous emergence property applies also to the background metric field tensor in terms of stochastic fluctuations of the corresponding underlying quantum tensor of gravitational field. These results warrant the consistent validity of background independence for the prescription of the space-time metric tensor in CQG-theory. Full article
(This article belongs to the Special Issue Supersymmetry and Supersymmetric Field Theories)
28 pages, 405 KiB  
Article
Background Independence and Gauge Invariance in General Relativity Part 1—The Classical Theory
by Massimo Tessarotto and Claudio Cremaschini
Symmetry 2022, 14(10), 2083; https://doi.org/10.3390/sym14102083 - 6 Oct 2022
Cited by 2 | Viewed by 1316
Abstract
The implications of the principles of general and manifest covariance, together with those of the objectivity principle, are considered for the purpose of establishing a DeDonder–Weyl-type Hamiltonian variational formulation for classical general relativity. Based on the analysis of the Einstein–Hilbert variational principle, it [...] Read more.
The implications of the principles of general and manifest covariance, together with those of the objectivity principle, are considered for the purpose of establishing a DeDonder–Weyl-type Hamiltonian variational formulation for classical general relativity. Based on the analysis of the Einstein–Hilbert variational principle, it is shown that only synchronous variational principles permit the construction of fully 4−tensor Lagrangian and Hamiltonian theories of this type. In addition, the possible validity of an extended Hamiltonian formulation in which Lagrangian variables include also the Ricci tensor is investigated and shown to occur provided the classical cosmological constant is non-vanishing. Full article
(This article belongs to the Special Issue Supersymmetry and Supersymmetric Field Theories)
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