Vacuum states in supersymmetric Kaluza-Klein theory

Kowalski-Glikman, Jerzy

doi:10.1016/0370-2693(84)90669-5

Cited by 163 publications

(321 citation statements)

References 6 publications

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“…Following earlier work on maximally supersymmetric solutions of eleven-dimensional supergravity [1,2,3], a new maximally supersymmetric solution of Type IIB supergravity [4] was found. This paved the way for quantisation in light-cone gauge of superstring theory in a constant R-R flux [5].…”

Section: Introductionmentioning

confidence: 89%

pp-wave light-cone superstring field theory

Pankiewicz

Stefański²

2003

Nuclear Physics B

154

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We construct the cubic interaction vertex and dynamically generated supercharges in light-cone superstring field theory in the pp-wave background. We show that these satisfy the pp-wave superalgebra at first order in string coupling. The cubic interaction vertex and dynamical supercharges presented here differ from the expressions previously given in the literature. Using this vertex we compute various string theory three-point functions and comment on their relation to gauge theory in the BMN

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Section: Introductionmentioning

confidence: 89%

pp-wave light-cone superstring field theory

Pankiewicz

Stefański²

2003

Nuclear Physics B

154

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“…In addition to these three spaces there is another maximally supersymmetric solution discovered by Kowalski-Glikman [19]. This solution -which will be referred to as the KG space -arises as a special case of the more general pp-wave 1 solutions [20] of the form ds 2 = 2dx + dx − + H(x I , x + ) dx + 2 + dx I dx I ,…”

Section: Pp-waves In Supergravitymentioning

confidence: 99%

“…Consider a Lorentzian space-time and a null geodesic γ in it. According to [15,29] for a sufficiently well-behaved geodesic one can introduce local coordinates U, V and Y I such that the metric in the neighborhood of γ takes the form 19) where α, β I and C IJ are functions of the coordinates. The coordinate U is the affine parameter of γ and for γ to be well-behaved C must be invertible, otherwise the coordinate system breaks down.…”

Section: The Penrose-güven Limitmentioning

confidence: 99%

Strings in plane wave backgrounds

Pankiewicz

2003

Fortschritte der Physik

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I review aspects of string theory on plane wave backgrounds emphasising the connection to gauge theory given by the BMN correspondence. Topics covered include the Penrose limit and its role in deriving the BMN duality from AdS/CFT, light-cone string field theory in the maximally supersymmetric plane wave and extensions of the correspondence to less supersymmetric backgrounds.a Based on the author's PhD thesis,

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“…The field equations and boundary conditions are obtained by varying the action with respect to X i and X a . They take the form 6) with ✷ = −∂ 2 τ + ∂ 2 σ the 2-dimensional d'Alambertian, and…”

Section: Classical Action Field Equations and Momentamentioning

confidence: 99%

Quantization of the open string on plane-wave limits of and non-commutativity outside branes

Horcajada

Ruiz

2008

Nuclear Physics B

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The open string on the plane-wave limit of dS n × S n with constant B 2 and dilaton background fields is canonically quantized. This entails solving the classical equations of motion for the string, computing the symplectic form, and defining from its inverse the canonical commutation relations. Canonical quantization is proved to be perfectly suited for this task, since the symplectic form is unambiguously defined and non-singular. The string position and the string momentum operators are shown to satisfy equal-time canonical commutation relations. Noticeably the string position operators define non-commutative spaces for all values of the string worldsheet parameter σ, thus extending non-commutativity outside the branes on which the string endpoints may be assumed to move. The Minkowski spacetime limit is smooth and reproduces the results in the literature, in particular non-commutativity gets confined to the endpoints.

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Vacuum states in supersymmetric Kaluza-Klein theory

Cited by 163 publications

References 6 publications

pp-wave light-cone superstring field theory

pp-wave light-cone superstring field theory

Strings in plane wave backgrounds

Quantization of the open string on plane-wave limits of and non-commutativity outside branes

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