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Virasoro
Virasoro can refer to: People * Miguel Ángel Virasoro (philosopher) (1900–1966) * Miguel Ángel Virasoro (physicist) (1940–2021) Places * Gobernador Virasoro, a city in Argentina Science and mathematics * Virasoro algebra In mathematics, the Virasoro algebra is a complex Lie algebra and the unique nontrivial central extension of the Witt algebra. It is widely used in two-dimensional conformal field theory and in string theory. It is named after Miguel Ángel ... in mathematics and physics * Virasoro conjecture in mathematics * Virasoro element of a vertex operator algebra * Virasoro minimal model in physics {{disambiguation, surname ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Miguel Ángel Virasoro (physicist)
Miguel Ángel Virasoro (;9 May 1940 – 23 July 2021) was an Argentine (naturalized Italian) mathematician and theoretical physicist. Virasoro worked in Argentina, Israel, the United States, and France, but he spent most of his professional career in Italy at La Sapienza University of Rome. He shared a name with his father, the philosopher Miguel Ángel Virasoro. He was known for his foundational work in string theory, the study of spin glasses, and his research in other areas of mathematical and statistical physics. The Virasoro–Shapiro amplitude,Virasoro, M. (1969). "Alternative constructions of crossing-symmetric amplitudes with Regge behavior." ''Physical Review'', 177(5), 2309–2311. the Virasoro algebra, the super Virasoro algebra, the Virasoro vertex operator algebra, the Virasoro group, the Virasoro conjecture, the Virasoro conformal block, and the Virasoro minimal model are all named after him. Biography Early life in Argentina Miguel Ángel Virasoro was born i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Virasoro Algebra
In mathematics, the Virasoro algebra is a complex Lie algebra and the unique nontrivial central extension of the Witt algebra. It is widely used in two-dimensional conformal field theory and in string theory. It is named after Miguel Ángel Virasoro. Structure The Virasoro algebra is spanned by generators for and the central charge . These generators satisfy ,L_n0 and The factor of \frac is merely a matter of convention. For a derivation of the algebra as the unique central extension of the Witt algebra, see derivation of the Virasoro algebra or Schottenloher, Thm. 5.1, pp. 79. The Virasoro algebra has a presentation in terms of two generators (e.g. 3 and −2) and six relations. The generators L_ are called annihilation modes, while L_ are creation modes. A basis of creation generators of the Virasoro algebra's universal enveloping algebra is the set : \mathcal = \Big\_ For L\in \mathcal, let , L, = \sum_^k n_i, then _0,L= , L, L. Representation theory In ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Virasoro Element
In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string theory. In addition to physical applications, vertex operator algebras have proven useful in purely mathematical contexts such as monstrous moonshine and the geometric Langlands correspondence. The related notion of vertex algebra was introduced by Richard Borcherds in 1986, motivated by a construction of an infinite-dimensional Lie algebra due to Igor Frenkel. In the course of this construction, one employs a Fock space that admits an action of vertex operators attached to elements of a lattice. Borcherds formulated the notion of vertex algebra by axiomatizing the relations between the lattice vertex operators, producing an algebraic structure that allows one to construct new Lie algebras by following Frenkel's method. The notion of vertex operator algebra was introduced as a modification of the notion of vertex algebra, b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Miguel Ángel Virasoro (philosopher)
Miguel Ángel Virasoro (1900–1966) was an Argentine philosopher. Life Born in Santa Fe, Argentina, in 1900, Virasoro graduated with a law degree from the University of La Plata. In 1947 he took over the direction of the magazine ''Logos , Report'' which resulted in the same year which still remains the best version of Being and Nothingness Sartre into Castilian. In 1949, Virasoro participated in the first National Congress of Philosophy held in Mendoza with a presentation ''dialectical existentialism''. In 1952 he was appointed vice dean of the Faculty of Philosophy and also takes over the leadership of the Department of Philosophy. In 1954 he took over the Argentine Institute of Thought. In 1955 he was expelled for political reasons since 1960 began teaching at several universities in the interior, especially the de Cuyo, in an intense and fruitful activity until his death in 1966. His work earned lofty concepts both at home and abroad, of Benedetto Croce, Alejandro Kor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Virasoro Conjecture
In algebraic geometry, the Virasoro conjecture states that a certain generating function encoding Gromov–Witten invariants of a smooth projective variety is fixed by an action of half of the Virasoro algebra. The Virasoro conjecture is named after theoretical physicist Miguel Ángel Virasoro. proposed the Virasoro conjecture as a generalization of Witten's conjecture. gave a survey of the Virasoro conjecture. The proof of the genus 0 Virasoro conjecture for all smooth projective varieties (or more generally, compact symplectic manifolds) was first given by Xiaobo Liu and Gang Tian Tian Gang (; born November 24, 1958) is a Chinese mathematician. He is a professor of mathematics at Peking University and Higgins Professor Emeritus at Princeton University. He is known for contributions to the mathematical fields of Kähler g ... (1998). References * * * Algebraic geometry Conjectures Unsolved problems in geometry {{algebraic-geometry-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gobernador Virasoro
Gobernador Virasoro (formally ''Gobernador Ingeniero Valentín Virasoro'') is a city in the province of Corrientes in the Argentine Mesopotamia. It had about 30,000 inhabitants at the . The city lies in the north-east of the province, 64 km north from the city of Santo Tomé and 90 km from Posadas, Misiones, on National Route 14. The Iberá Wetlands are located 80 km to the west. Gobernador Virasoro as such was founded on 23 September 1926. The original settlement, called Villa Vuelta del Ombú since the time the Jesuit The Society of Jesus (; abbreviation: S.J. or SJ), also known as the Jesuit Order or the Jesuits ( ; ), is a religious order (Catholic), religious order of clerics regular of pontifical right for men in the Catholic Church headquartered in Rom ...s established a ranch there, was renamed in homage to Valentín Virasoro, a field engineer who measured terrains and studied the Iberá lagoon and wetlands working for the provincial government. Re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |