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17,099
Chiral deformations of conformal field theories
 Nucl. Phys. B
, 1997
"... We study general perturbations of twodimensional conformal field theories by holomorphic fields. It is shown that the genus one partition function is controlled by a contact term (preLie) algebra given in terms of the operator product expansion. These models have applications to vertex operator al ..."
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Cited by 23 (3 self)
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algebras, twodimensional QCD, topological strings, holomorphic anomaly equations and modular properties of generalized characters of chiral algebras such as the W1+ ∞ algebra, that is treated in detail
Chiral rings and anomalies in supersymmetric gauge theory
 JHEP
, 2002
"... Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary superpotential. A certain generalization of the Konishi anomaly leads to an equation which is identical to the loo ..."
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Cited by 161 (7 self)
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are applicable to more general theories. For example, we determine the classical relations and quantum deformations of the chiral ring of N = 1 super YangMills theory with SU(N) gauge group, showing, as one consequence, that all supersymmetric vacua of this theory have a nonzero chiral condensate.
TOWARDS DEFORMED CHIRAL ALGEBRAS
, 1997
"... 1.1. In [1, 2, 3, 4, 5, 6] certain deformations of the Virasoro and W–algebras have been defined together with their free field realizations. While the ordinary W– algebras are symmetries of conformal field theories [7, 8], the deformed W–algebras appear to be the dynamical symmetries of the RSOS in ..."
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Cited by 13 (0 self)
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1.1. In [1, 2, 3, 4, 5, 6] certain deformations of the Virasoro and W–algebras have been defined together with their free field realizations. While the ordinary W– algebras are symmetries of conformal field theories [7, 8], the deformed W–algebras appear to be the dynamical symmetries of the RSOS
Chiral forms and their deformations
 Commun. Math. Phys
, 2001
"... We systematically study deformations of chiral forms with applications to string theory in mind. To first order in the coupling constant, this problem can be translated into the calculation of the local BRST cohomological group at ghost number zero. We completely solve this cohomology and present de ..."
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Cited by 8 (0 self)
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We systematically study deformations of chiral forms with applications to string theory in mind. To first order in the coupling constant, this problem can be translated into the calculation of the local BRST cohomological group at ghost number zero. We completely solve this cohomology and present
Deformations of Chiral Algebras
, 2003
"... We start studying chiral algebras (as defined by A. Beilinson and V. Drinfeld) from the point of view of deformation theory. First, we define the notion of deformation of a chiral algebra on a smooth curve X over a bundle of local artinian commutative algebras on X equipped with a flat connection (w ..."
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Cited by 1 (0 self)
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We start studying chiral algebras (as defined by A. Beilinson and V. Drinfeld) from the point of view of deformation theory. First, we define the notion of deformation of a chiral algebra on a smooth curve X over a bundle of local artinian commutative algebras on X equipped with a flat connection
On the deformation chirality of real cubic fourfolds
"... Abstract. According to our previous results, the conjugacy class of the involution induced by the complex conjugation in the homology of a real nonsingular cubic fourfold determines the fourfold up to projective equivalence and deformation. Here, we show how to eliminate the projective equivalence ..."
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Cited by 1 (1 self)
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and to obtain a pure deformation classification, that is how to respond to the chirality question: which cubics are not deformation equivalent to their image under a mirror reflection. We provide an arithmetical criterion of chirality, in terms of the eigensublattices of the complex conjugation involution
Molecular chirality and chiral parameters
, 1999
"... The fundamental issues of symmetry related to chirality are discussed and applied to simple situations relevant to liquid crystals. We show that any chiral measure of a geometric object is a pseudoscalar (invariant under proper rotations but changing sign under improper rotations) and must involve t ..."
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Cited by 5 (0 self)
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The fundamental issues of symmetry related to chirality are discussed and applied to simple situations relevant to liquid crystals. We show that any chiral measure of a geometric object is a pseudoscalar (invariant under proper rotations but changing sign under improper rotations) and must involve
Chiral gravity in three dimensions
 JHEP 0804 (2008) 082 [arXiv:0801.4566 [hepth
"... Three dimensional Einstein gravity with negative cosmological constant −1/ℓ 2 deformed by a gravitational ChernSimons action with coefficient 1/µ is studied in an asymptotically AdS3 spacetime. It is argued to violate unitary or positivity for generic µ due to negativeenergy massive gravitons. Howe ..."
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Cited by 53 (0 self)
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Three dimensional Einstein gravity with negative cosmological constant −1/ℓ 2 deformed by a gravitational ChernSimons action with coefficient 1/µ is studied in an asymptotically AdS3 spacetime. It is argued to violate unitary or positivity for generic µ due to negativeenergy massive gravitons
Results 1  10
of
17,099