Super Geometry for Super Strings
A special issue of Universe (ISSN 2218-1997).
Deadline for manuscript submissions: closed (31 August 2018) | Viewed by 7712
Special Issue Editors
Interests: general relativity; black hole physics; quantum gravity; analogue gravity; string theory; branes and mirror symmetry; superstring amplitudes; mathematical aspects of string theory; M-theory; F-theory
Interests: string theory (compactification, 2D conformal field theory, cosmology, phenomenology, dualities, "geometric engineering", low energy effective description, strings at finite temperature); supergravity; supersymmetry; braneworlds; M-theory
Special Issue Information
Dear Colleagues,
In recent years, defining perturbative superstring theory at genus higher than two has gained a renewed interest. The success of the past twenty years, and efforts by D’Hoker and Phong (fom [1] to [2]) in computing the amplitudes for the case of genus two, based on the idea of parameterizing the supermoduli space of super Riemann surfaces in terms of a super period matrix, has given a boost to several researchers, both in theoretical physics and in algebraic geometry in exploring more deeply the subject. Indeed, naïve attempts in generalizing the genus two results to higher genus fail because the nontrivial geometrical properties of the supermoduli space, which at higher genus fails to be split ([3,4]).
The aim of this Special Issue is to collect, in a contained format, the general problem of formulating perturbative super string theory at any genus, the successes obtained up to now, both from the physical and the mathematical point of view, but also the numerous open problems and the strategies that are actually more or less adopted in order to attach a problem, which requires the efforts of both physicists and algebraic geometers [5].
Dr. Sergio Luigi Cacciatori
Dr. Hervé Partouche
Guest Editors
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References
[1]. D’Hoker, E.; Phong, D.H. The geometry of string perturbation theory. Rev. Mod. Phys. 1988, 60, 917–1065.[2]. D’Hoker, E.; Phong, D.H. Two-Loop Superstrings VII, Cohomology of Chiral Amplitudes. Nucl. Phys. B 2008, 804, 421–506.
[3]. Donagi, R.; Witten, E. Supermoduli Space Is Not Projected. 2013, arXiv:1304.7798.
[4]. Donagi, R.; Witten, E. Super Atiyah classes and obstructions to splitting of supermoduli space. 2014, arXiv:1404.6257.
[5]. Donagi, R.; Grushevsky, S.; Katz, S.; Witten, E. Supermoduli Workshop, New York, NY, USA, May 18–22, 2015.
