Dual string with U(1) colour symmetry

O(N)-extended superconformal field theory in superspace

“…For N = 2 the representation theory is well-understood [11,15,16]. String models based on N = 2 local superconformal invariance can consistently be formulated but have no dynamical content [17]. Recently global N = 2 superconformal symmetry has found beautiful applications in the study of the compactification 10 ---> 4 of N = 1 superstrings [15,18,19].…”

D=2,N=2, Supersymmetric theories on Non(anti)commutative Superspace

“…We begin establishing our notations [62,68]. The superspace coordinates are denoted by: τ, σ, θ i α [62].…”

“…The superspace coordinates are denoted by: τ, σ, θ i α [62]. Here, τ, σ are space-time labels and θ i α are N Majorana spinors which are odd elements of a Grassmann algebra i.e., θ i α θ i β = −θ i β θ i α [62].…”

“…and for spinor coordinates, one can invoke the chirality condition using γ 5 in two space-time dimensions [62]:…”

“…Also, the importance of N = 2 supersymmetric sigma model in the context of N = 2 strings is well known [62]- [65]. In the recent past, noncommutative N = 2 strings have also been discussed [66,67].…”