Super-self-duality as analyticity in harmonic superspace

Devchand, Chandrashekar; Ogievetsky, V.

doi:10.1007/bfb0104628

Cited by 8 publications

(13 citation statements)

References 21 publications

(21 reference statements)

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“…The twistor description of complexified self-dual N -extended SYM theory is known and based on the diagram (4.12) (see e.g., [29,30,32]) or (implicitly) on the diagram (4.6) (see e.g., [37,40]). Here, we consider self-dual N -extended SYM theory in the real setting based on the fibration (4.37).…”

Section: Holomorphic Bundles and Gauge Potentialsmentioning

confidence: 99%

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On supertwistors, the Penrose--Ward transform and $\CN=4$ super-Yang--Mills theory

Popov¹,

Saemann²

2005

Advances in Theoretical and Mathematical Physics

108

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It was recently shown by Witten that B-type open topological string theory with the supertwistor space CP 3|4 as a target space is equivalent to holomorphic Chern-Simons (hCS) theory on the same space. This hCS theory in turn is equivalent to self-dual N = 4 super-Yang-Mills (SYM) theory in four dimensions. We review the supertwistor description of self-dual and anti-self-dual N -extended SYM theory as the integrability of SYM fields on complex (2|N )-dimensional superplanes and demonstrate the equivalence of this description to Witten's formulation. The equivalence of the field equations of hCS theory on an open subset of CP 3|N to the field equations of self-dual N -extended SYM theory in four dimensions is made explicit. Furthermore, we extend the picture to the full N = 4 SYM theory and, by using the known supertwistor description of this case, we show that the corresponding constraint equations are (gauge) equivalent to the field equations of hCS theory on a quadric in CP 3|3 × CP 3|3 . e-print archive: http://lanl.arXiv.org/abs/arXiv:hep-th

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Section: Holomorphic Bundles and Gauge Potentialsmentioning

confidence: 99%

“…36 We use the subscript * to denote the dual supertwistor space, its subspaces and its preimages under projections π2. 37 Recall that we use the subscript * in CP 1 * for distinguishing this Riemann sphere with the coordinates ζ± from the Riemann sphere CP 1 with the coordinates λ±.…”

Section: Coordinatesmentioning

confidence: 99%

On supertwistors, the Penrose--Ward transform and $\CN=4$ super-Yang--Mills theory

Popov¹,

Saemann²

2005

Advances in Theoretical and Mathematical Physics

108

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“…The infinitely large multiplet of interacting massless higher spin fields is analogous to the N =∞ supersymmetric self-dual multiplet presented in [31]. In fact the multiplets described by the three consistent truncations of S ∞ , namely, S 2 , S 3 and S 5 , are remarkably reminiscent of the supersymmetric N =1, 2, 4 self-dual multiplets, respectively [29,30,21]. There appears to exist a correspondence between these pairs of theories.…”

Section: Discussionmentioning

confidence: 91%

Extended self-dual Yang-Mills from the N = 2 string

Devchand

Lechtenfeld

1998

Nuclear Physics B

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We show that the physical degrees of freedom of the critical open string with N =2 superconformal symmetry on the worldsheet are described by a self-dual Yang-Mills field on a hyperspace parametrised by the coordinates of the target space R 2,2 together with a commuting chiral spinor. A prepotential for the self-dual connection in the hyperspace generates the infinite tower of physical fields corresponding to the inequivalent pictures or spinor ghost vacua of this string. An action is presented for this tower, which describes consistent interactions amongst fields of arbitrarily high spin. An interesting truncation to a theory of five fields is seen to have no graphs of two or more loops. * supported in part by the 'Deutsche Forschungsgemeinschaft'; grant LE-838/5-1

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“…The connection one-form superfield φ is given by 12) where d is exterior derivative of superspace. The connection φ defines the curvature…”

Section: Review Of the N = 1 Super Adhm Constructionmentioning

confidence: 99%

Instantons in Script N = 1/2 super Yang-Mills theory via deformed super ADHM construction

Araki¹,

Takashima²,

Watamura³

2005

J. High Energy Phys.

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We study an extension of the ADHM construction to give deformed anti-self-dual (ASD) instantons in N = 1/2 super Yang-Mills theory with U(n) gauge group. First we extend the exterior algebra on superspace to non(anti)commutative superspace and show that the N = 1/2 super Yang-Mills theory can be reformulated in a geometrical way. By using this exterior algebra, we formulate a non(anti)commutative version of the super ADHM construction and show that the curvature two-form superfields obtained by our construction do satisfy the deformed ASD equations and thus we establish the deformed super ADHM construction. We also show that the known deformed U(2) one instanton solution is obtained by this construction.

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Super-self-duality as analyticity in harmonic superspace

Cited by 8 publications

References 21 publications

On supertwistors, the Penrose--Ward transform and $\CN=4$ super-Yang--Mills theory

On supertwistors, the Penrose--Ward transform and $\CN=4$ super-Yang--Mills theory

Extended self-dual Yang-Mills from the N = 2 string

Instantons in Script N = 1/2 super Yang-Mills theory via deformed super ADHM construction

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