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Virasoro conjecture information


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. Tohru Eguchi, Kentaro Hori, and Chuan-Sheng Xiong (1997) proposed the Virasoro conjecture as a generalization of Witten's conjecture. Ezra Getzler (1999) gave a survey of the Virasoro conjecture.

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Virasoro conjecture

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an action of half of the Virasoro algebra. The Virasoro conjecture is named after theoretical physicist Miguel Ángel Virasoro. Tohru Eguchi, Kentaro Hori...

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Virasoro

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Argentina Virasoro algebra in mathematics and physics Virasoro conjecture in mathematics Virasoro element of a vertex operator algebra Virasoro minimal...

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List of conjectures

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conjecture Kelvin's conjecture Kouchnirenko's conjecture Mertens conjecture Pólya conjecture, 1919 (1958) Ragsdale conjecture Schoenflies conjecture (disproved...

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Lambda g conjecture

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curves with marked points. It was first found as a consequence of the Virasoro conjecture by E. Getzler and R. Pandharipande (1998). Later, it was proven by...

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List of unsolved problems in mathematics

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varieties and Galois representations on étale cohomology groups. Virasoro conjecture: a certain generating function encoding the Gromov–Witten invariants...

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Vertex operator algebra

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the Virasoro algebra, and satisfy a bounded-below property with respect to an energy operator. Motivated by this observation, they added the Virasoro action...

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Witten conjecture

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Zhang, A. Givental, C. Teleman and others. The Virasoro conjecture is a generalization of the Witten conjecture. Cornalba, Maurizio; Arbarello, Enrico; Griffiths...

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Monstrous moonshine

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Extremal CFTs, introduced by G. Höhn, are distinguished by a lack of Virasoro primary fields in low energy, and the moonshine module is one example....

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Super Virasoro algebra

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mathematical physics, a super Virasoro algebra is an extension of the Virasoro algebra (named after Miguel Ángel Virasoro) to a Lie superalgebra. There...

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Virasoro conformal block

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In two-dimensional conformal field theory, Virasoro conformal blocks (named after Miguel Ángel Virasoro) are special functions that serve as building blocks...

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Holographic principle

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that the asymptotic symmetry of 2+1 dimensional gravity gives rise to a Virasoro algebra, whose corresponding quantum theory is a 2-dimensional conformal...

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Lie algebra extension

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algebra one may construct a current algebra in two spacetime dimensions. The Virasoro algebra is the universal central extension of the Witt algebra. Central...

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Victor Kac

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found the Kac determinant formula for the Virasoro algebra. He is also known for the Kac–Weisfeiler conjectures with Boris Weisfeiler. Kac studied mathematics...

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Tachyon condensation

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total energy of the D-branes, and all other tests have confirmed Sen's conjecture as well. Tachyons therefore became an active area of interest in the early...

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String theory

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self-consistency condition, the lightest particle must be a tachyon. Miguel Virasoro and Joel Shapiro found a different amplitude now understood to be that...

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Ralph Kaufmann

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areas of mathematics and theoretical physics. After briefly working on the Virasoro algebra, he started to work on the quantum cohomology of a product and...

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List of Lie groups topics

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unification theory Supergroup Lie superalgebra Twistor theory Anyon Witt algebra Virasoro algebra Erlangen programme Homogeneous space Principal homogeneous space...

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History of string theory

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recognized as closed strings by Miguel Virasoro and Joel A. Shapiro (their approach was dubbed the Shapiro–Virasoro model). In 1969, the Chan–Paton rules...

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Topological recursion

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math-ph/arXiv:1412.3286 A. Alexandrov, A. Mironov, A. Morozov, Solving Virasoro Constraints in Matrix Models, Fortsch.Phys.53:512-521,2005, arXiv:hep-th/0412205...

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Brane

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compute area in two-dimensional examples. The homological mirror symmetry conjecture of Maxim Kontsevich states that the derived category of coherent sheaves...

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Black hole

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and angular momentum; the black hole is otherwise featureless. If the conjecture is true, any two black holes that share the same values for these properties...

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