Canonical description of the<i>D</i>= 10 superstring formulated in supertwistor space

Uvarov, D. V.

doi:10.1088/1751-8113/42/11/115204

Cited by 6 publications

(3 citation statements)

References 85 publications

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“…Unlike in four dimensions where the super-twistor variables transform linearly under d = 4 superconformal transformations, the d=10 super-twistor variables transform linearly only under d=10 super-Poincaré transformations. Note that d=4 super-twistor variables involving fermionic vectors have been discussed in [11], and d=10 super-twistor variables involving fermionic scalars have been discussed in [12].…”

Section: Introductionmentioning

confidence: 99%

Ten-dimensional super-twistors and Super-Yang-Mills

Berkovits

2010

J. High Energ. Phys.

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Four-dimensional super-twistors provide a compact covariant description of on-shell N = 4 d=4 super-Yang-Mills. In this paper, ten-dimensional super-twistors are introduced which similarly provide a compact covariant description of on-shell d=10 super-Yang-Mills.The super-twistor variables are Z = (λ α , µ α , Γ m ) where λ α and µ α are constrained bosonic d=10 spinors and Γ m is a constrained fermionic d=10 vector. The Penrose map relates the twistor superfield Φ(Z) with the d=10 super-Yang-Mills vertex operator λ α A α (x, θ) which appears in the pure spinor formalism of the superstring, and the cubic super-Yang-Mills amplitude is proportional to the super-twistor integral dZ Φ 1 Φ 2 Φ 3 .

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Section: Introductionmentioning

confidence: 99%

Ten-dimensional super-twistors and Super-Yang-Mills

Berkovits

2010

J. High Energ. Phys.

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“…See[51] for the discussion on twistor transform of tensionful superstrings in D=3,4,6,10 and[52] for related studies.…”

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confidence: 99%

Twistor/ambitwistor strings and null-superstrings in spacetime of D=4, 10 and 11 dimensions

Bandos

2014

J. High Energ. Phys.

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We show that, at the classical level, the recently proposed 'ambitwistor string' model is equivalent to the spinor moving frame formulation of null-supersting, which in its turn is equivalent to Siegel's formulation of closed twistor string or to its higher dimensional generalizations. Although the null-(super)string is usually considered as describing the tensionless limit of (super)string, we show that its action can be derived from the spinor moving frame formulation of superstring also in the infinite tension limit. This observation, supplemented by some indirect arguments, allows us to conjecture the absence of critical dimensions, i.e. that the (ambi)twistor string based technique(s) to calculate field theory amplitudes can be developed not only in D=10 or 26, but also in D=11 and other dimensions. The D=11 and D=10 twistor strings are described in some details.

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“…Analogous formulation exists for spinning particles [25,26], while it seems not possible to construct in the same way spinning membranes or higher dimensional branes [27]. 4 The GS and the NSR formulations are very well known, but there are also less conventional formulations of superbrane dynamics such as Lorentz-harmonic formulations [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] and, in particular cases of superparticles and superstrings, twistor formulations [47][48][49][50][51][52][53][54][55][56].…”

Section: Introductionmentioning

confidence: 99%

On superembedding approach to type IIB 7-branes

Bandos¹

2009

J. High Energy Phys.

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In search for a dynamical description of Q7-branes, which were known as solutions of supergravity equations and then conjectured to be dynamical objects of type IIB string theory, we study the superembedding description of 7-branes in curved type IIB supergravity superspace. With quite minimal and natural assumptions we have found that there is no place for Q7-branes as dynamical branes in superembedding approach. As Q7-brane was also considered as a bound state of two SD7-branes (this is to say of two 7-branes related to the D7-brane by different SL(2) transformation), our study might give implications for the old-standing problem of the covariant and supersymmetric description of multiple Dirichlet p-brane systems. SO(1,9) SO(1,7)×SO(2) moving frame variables (also called Lorentz harmonics) 34 Appendix D. Induced worldvolume superspace geometry for 7-branes 36Appendix E. Derivation of and complete form of some equations 38 1 STV is for Sorokin, Tkach and Volkov, the authors of the pioneer paper [22]. (See also [23,24] for related studies). Such actions are known for superparticles and superstrings in superspaces with up to 16 supersymmetries, including the heterotic string without heterotic fermions [25], as well as for lower dimensional supermembranes (see [26, 27] and [16] for review and further references), but are not known neither for D=10 type II superbranes nor for D=11 M-branes. The problem appears also for heterotic string, on the stage when one tries to include heterotic fermions (or heterotic bosons). A number of approaches to superfield description of heterotic fermions were proposed [28,29], but the most successful of them [29] is restricted to the case of SO(4) group, rather than SO(32) or E 8 ⊗ E 8 charactersitic for the anomaly free heterotic string theory.2 See [32] for an earlier approach to the action for heterotic string similar to the ones in [31,30]. 3 The same conclusion, and also an expression for the (bosonic) Wess-Zumino term in terms of gauge potentials and pull-backs of supergravity fields can be found in [2].

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Canonical description of theD= 10 superstring formulated in supertwistor space

Cited by 6 publications

References 85 publications

Ten-dimensional super-twistors and Super-Yang-Mills

Ten-dimensional super-twistors and Super-Yang-Mills

Twistor/ambitwistor strings and null-superstrings in spacetime of D=4, 10 and 11 dimensions

On superembedding approach to type IIB 7-branes

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