In mathematical physics, a super Virasoro algebra is an extension of the Virasoro algebra (named after Miguel Ángel Virasoro) to a Lie superalgebra. There are two extensions with particular importance in superstring theory: the Ramond algebra (named after Pierre Ramond)[1] and the Neveu–Schwarz algebra (named after André Neveu and John Henry Schwarz).[2] Both algebras have N = 1 supersymmetry and an even part given by the Virasoro algebra. They describe the symmetries of a superstring in two different sectors, called the Ramond sector and the Neveu–Schwarz sector.
^Ramond, P. (1971-05-15). "Dual Theory for Free Fermions". Physical Review D. 3 (10). American Physical Society (APS): 2415–2418. Bibcode:1971PhRvD...3.2415R. doi:10.1103/physrevd.3.2415. ISSN 0556-2821.
^Neveu, A.; Schwarz, J.H. (1971). "Tachyon-free dual model with a positive-intercept trajectory". Physics Letters B. 34 (6). Elsevier BV: 517–518. Bibcode:1971PhLB...34..517N. doi:10.1016/0370-2693(71)90669-1. ISSN 0370-2693.
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In mathematical physics, a superVirasoroalgebra is an extension of the Virasoroalgebra (named after Miguel Ángel Virasoro) to a Lie superalgebra. There...
the Virasoroalgebra (named after the physicist Miguel Ángel Virasoro) is a complex Lie algebra and the unique central extension of the Witt algebra. It...
module. They observed that many vertex algebras that appear 'in nature' carry an action of the Virasoroalgebra, and satisfy a bounded-below property with...
for instance the N = 2 superconformal algebra. Conformal symmetry SuperVirasoroalgebra Supersymmetry algebra West, P. C. (2002). "Introduction to Rigid...
level algebra. Infinite-dimensional (affine) Lie superalgebras are important symmetries in superstring theory. Specifically, the Virasoroalgebras with...
Kent, A.; Olive, D. (1986). "Unitary representations of the Virasoro and super-Virasoroalgebras". Comm. Math. Phys. 103 (1): 105–119. Bibcode:1986CMaPh.103...
Clifford algebra associated to the Lorentz group. Equivalently, the super Minkowski space can be understood as the quotient of the super Poincaré algebra modulo...
dimensions, superconformal field theories are invariant under superVirasoroalgebras, which include infinitely many fermionic operators. Superconformal...
The simplest supersymmetric extension of the Poincaré algebra is the Super-Poincaré algebra. Expressed in terms of two Weyl spinors, has the following...
holomorphic supercurrent together form a closed algebra known as the N = 1 {\displaystyle N=1} superVirasoroalgebra. Using a mode expansion where the stress...
to a superconformal algebra (the Ramond algebra, an example of a superVirasoroalgebra) including anticommuting operators also. In 1979, with Murray Gell-Mann...
mathematical structure called composition algebra. In the findings of abstract algebra there are just seven composition algebras over the field of real numbers....
unitary highest weight representations of the Virasoroalgebra, and he described the Virasoroalgebra's singular vectors. In addition, he investigated...
(SUSY) generators form together with the Poincaré algebra a superalgebra, called the super-Poincaré algebra, supersymmetry as a gauge theory makes gravity...
Witt algebra of infinitesimal conformal transformations has to be centrally extended. The quantum symmetry algebra is therefore the Virasoroalgebra, which...
Nambu-Goto action Bosonic string theory Kondo model (s-d model) Minimal model (Virasoro minimal model) String theory Conformal field theory Supersymmetry Topological...
supersymmetry algebras. Ramond Named for Pierre Ramond. Ramond algebra A supersymmetric extension of the Virasoroalgebra, similar to the Neveu–Schwarz algebra. Rarita–Schwinger...
has the structure of a super vertex algebra over Fp, and they broke up the problem into an easy step equating graded Brauer super-trace with the McKay-Thompson...
1016/0550-3213(82)90105-5. ISSN 0550-3213. Belitsky, A.V. (2012). "Conformal anomaly of super Wilson loop". Nuclear Physics B. 862 (2): 430–449. arXiv:1201.6073. Bibcode:2012NuPhB...
1016/0550-3213(87)90256-2. ISSN 0550-3213. Berkovits, Nathan (2000-04-15). "Super-Poincare covariant quantization of the superstring". Journal of High Energy...
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