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255
NonCritical Pure Spinor Superstrings
, 2006
"... We construct noncritical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spi ..."
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Cited by 15 (3 self)
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We construct noncritical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure
from noncritical string
, 1999
"... The correspondence of the noncritical string theory and the YangMills theory is examined according to the recent Polyakov’s proposal, and two possible solutions of the bulk equations are addressed near the fixed points of the pure YangMills theory: (i) One solution asymptotically approaches to th ..."
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The correspondence of the noncritical string theory and the YangMills theory is examined according to the recent Polyakov’s proposal, and two possible solutions of the bulk equations are addressed near the fixed points of the pure YangMills theory: (i) One solution asymptotically approaches
Character of pure spinors
"... The character of holomorphic functions on the space of pure spinors in ten, eleven and twelve dimensions is calculated. From this character formula, we derive in a manifestly covariant way various central charges which appear in the pure spinor formalism for the superstring. We also derive in a simp ..."
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Cited by 29 (2 self)
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The character of holomorphic functions on the space of pure spinors in ten, eleven and twelve dimensions is calculated. From this character formula, we derive in a manifestly covariant way various central charges which appear in the pure spinor formalism for the superstring. We also derive in a
Pure Spinors on Lie groups
, 2007
"... For any manifold M, the direct sum TM = TM ⊕T ∗ M carries a natural inner product given by the pairing of vectors and covectors. Differential forms on M may be viewed as spinors for the corresponding Clifford bundle, and in particular there is a notion of pure spinor. In this paper, we study pure ..."
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Cited by 4 (1 self)
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For any manifold M, the direct sum TM = TM ⊕T ∗ M carries a natural inner product given by the pairing of vectors and covectors. Differential forms on M may be viewed as spinors for the corresponding Clifford bundle, and in particular there is a notion of pure spinor. In this paper, we study pure
Pure Spinor Formalism as an N=2 Topological String
, 2005
"... Following suggestions of Nekrasov and Siegel, a nonminimal set of fields are added to the pure spinor formalism for the superstring. Twisted ĉ = 3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spinone generator, and the formalism is interpreted as a criti ..."
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Cited by 36 (7 self)
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Following suggestions of Nekrasov and Siegel, a nonminimal set of fields are added to the pure spinor formalism for the superstring. Twisted ĉ = 3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spinone generator, and the formalism is interpreted as a
PURE SYMPLECTIC SPINORS IN THE FOCK REPRESENTATION
"... We describe explicitly the space of smooth vectors and its antidual space of symplectic spinors for the Fock representation of a separable complex Hilbert space. Further, we show that a strongly positive polarization annihilates a complex line of pure symplectic spinors if and only if it satisfies a ..."
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We describe explicitly the space of smooth vectors and its antidual space of symplectic spinors for the Fock representation of a separable complex Hilbert space. Further, we show that a strongly positive polarization annihilates a complex line of pure symplectic spinors if and only if it satisfies
(Non)triviality of Pure Spinors and Exact Pure Spinor RNS Map
, 2008
"... All the BRSTinvariant operators in pure spinor formalism in d = 10 can be represented as BRST commutators, such as V = {Qbrst, θ+ λ+ V} where λ+ is the U(5) component of the pure spinor transforming as 1 5. Therefore, in order to secure nontriviality of BRST 2 cohomology in pure spinor string theo ..."
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All the BRSTinvariant operators in pure spinor formalism in d = 10 can be represented as BRST commutators, such as V = {Qbrst, θ+ λ+ V} where λ+ is the U(5) component of the pure spinor transforming as 1 5. Therefore, in order to secure nontriviality of BRST 2 cohomology in pure spinor string
Critical and NonCritical Avalanche Behavior in Networks of IntegrateandFire Neurons
"... Abstract. We study avalanches of spike activity in fully connected networks of integrateand re neurons which receive purely random input. In contrast to the selforganized critical avalanche behavior in sandpile models, critical and noncritical behavior is found depending on the interaction stren ..."
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Abstract. We study avalanches of spike activity in fully connected networks of integrateand re neurons which receive purely random input. In contrast to the selforganized critical avalanche behavior in sandpile models, critical and noncritical behavior is found depending on the interaction
PURE SPINORS AND THEIR POSSIBLE ROLE IN PHYSICS
, 2005
"... The É. Cartan’s equations defining “simple ” spinors (renamed “pure ” by C. Chevalley) are interpreted as equations of motion for fermions and for fermion’s multiplets in momentum spaces which, after the adoption of the Cartan’s conjecture on the non elementary nature of euclidean geometry, appear ..."
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The É. Cartan’s equations defining “simple ” spinors (renamed “pure ” by C. Chevalley) are interpreted as equations of motion for fermions and for fermion’s multiplets in momentum spaces which, after the adoption of the Cartan’s conjecture on the non elementary nature of euclidean geometry
Results 1  10
of
255