Twistorial versus spacetime formulations: Unification of various string models

Abstract

We introduce the D = 4 twistorial tensionfull bosonic string by considering the canonical twistorial 2-form in two-twistor space. We demonstrate its equivalence to two bosonic string models: due to Siegel (with covariant worldsheet vectorial string momenta P m µ (τ, σ)) and the one with tensorial string momenta P [µν] (τ, σ). We show how to obtain in mixed space-time-twistor formulation the Soroka-Sorokin-Tkach-Volkov (SSTV) string model and subsequently by harmonic gauge fixing the Bandos-Zheltukhin (BZ) model, with constrained spinorial coordinates.

Supertwistor formulation for massless superparticle in AdS5 × S5 superspace

“…(Super)twistor formulation is known to combine manifest and linearly realized (super)conformal symmetry with the simple and irreducible realization of the gauge symmetries. These features provided strong motivation to study (super)twistor formulations also for massive (super)particles [10], [11], [12], [13], [14], null and tensile (super)strings [15], [16], [17], [18] and membranes [19] in 4-dimensional Minkowski (super)space and in higher string-theoretic dimensions [20], [21], [22], [23], [24], [25], [26] [27], [28]. 3 (Super)twistors also appear rather efficient in presenting scattering amplitudes of massless particles not limiting to 4-dimensional space-time (see, e.g.…”

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

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

Purely twistorial string with canonical twistor field quantization

“…It is known that the description of massive (super)particles requires in the Penrose framework the introduction of two-(super)twistor geometry (see [8,9,24]). Following [11], using twotwistor target space purely twistorial tensionful string action was given [25], which is classically equivalent to Nambu-Goto (NG) string action with composite spacetime string fields. Unfortunately, our twistorial action from [25] is fourlinear, what presents a serious difficulty in performing the quantization procedure.…”

“…Following [11], using twotwistor target space purely twistorial tensionful string action was given [25], which is classically equivalent to Nambu-Goto (NG) string action with composite spacetime string fields. Unfortunately, our twistorial action from [25] is fourlinear, what presents a serious difficulty in performing the quantization procedure. In this paper we resolve this difficulty.…”