Supertwistors and cubic string field theory for open <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math> strings

Lechtenfeld, Olaf; Popov, Alexander D.

doi:10.1016/j.physletb.2004.08.008

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Berkovits-siegel Covariant String Field Theory For Self-dual...1

Supertwistor Space1

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2009

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Cited by 21 publications

(2 citation statements)

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“…Berkovits and Siegel [17] have also generalized this action for the N = 4 Supersymmetric Yang-Mills theory. More recently Lechtenfeld and Popov [8] have given a covariant cubic string field theory action for the self-dual N = 4 Supersymmetric Yang-Mills theory in the supertwistor space.…”

Section: Berkovits-siegel Covariant String Field Theory For Self-dual...mentioning

confidence: 99%

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Self-Dual $\mathcal N$ = 8 Supergravity as a Closed String Field Theory in Twistor Space

Naik

2009

Preprint

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Section: Berkovits-siegel Covariant String Field Theory For Self-dual...mentioning

confidence: 99%

“…For the graded space {x α . α , θ αi }, one has a graded twistor space [18,8] as PS H which is R (2,2)|N × H 2 . The local coordinates on patches US ± are (ω A ± , λ α ± ) where ω A ± = [x α .…”

Section: Supertwistor Spacementioning

confidence: 99%

Self-Dual $\mathcal N$ = 8 Supergravity as a Closed String Field Theory in Twistor Space

Naik

2009

Preprint

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Rotating black hole, twistor-string and spinning particle

Burinskii

2005

Czech J Phys

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We discuss basic features of the model of spinning particle based on the Kerr solution. It contains a very nontrivial real stringy structure consisting of the Kerr circular string and an axial stringy system.We consider also the complex and twistorial structures of the Kerr geometry and show that there is a complex twistor-string built of the complex N=2 chiral string with a twistorial (x, θ) structure. By imbedding into the real Minkowski M 4 , the N=2 supersymmetry is partially broken and string acquires the open ends. Orientifolding this string, we identify the chiral and antichiral structures. Target space of this string is equivalent to the Witten's 'diagonal' of the CP 3 × CP * 3 .

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Hidden Symmetries and Integrable Hierarchy of the $${\mathcal{N}}$$ = 4 Supersymmetric Yang-Mills Equations

Popov

Wolf

2007

Commun. Math. Phys.

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We describe an infinite-dimensional algebra of hidden symmetries of N = 4 supersymmetric Yang-Mills (SYM) theory. Our derivation is based on a generalization of the supertwistor correspondence. Using the latter, we construct an infinite sequence of flows on the solution space of the N = 4 SYM equations. The dependence of the SYM fields on the parameters along the flows can be recovered by solving the equations of the hierarchy. We embed the N = 4 SYM equations in the infinite system of the hierarchy equations and show that this SYM hierarchy is associated with an infinite set of graded symmetries recursively generated from supertranslations. Presumably, the existence of such nonlocal symmetries underlies the observed integrable structures in quantum N = 4 SYM theory.

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Supertwistors and cubic string field theory for open N=2 strings

Cited by 21 publications

References 20 publications

Self-Dual $\mathcal N$ = 8 Supergravity as a Closed String Field Theory in Twistor Space

Self-Dual $\mathcal N$ = 8 Supergravity as a Closed String Field Theory in Twistor Space

Rotating black hole, twistor-string and spinning particle

Hidden Symmetries and Integrable Hierarchy of the $${\mathcal{N}}$$ = 4 Supersymmetric Yang-Mills Equations

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