# World sheet supersymmetry equations

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Sign up with your email address to be the first to know about new products, VIP offers, blog features & more. Sign up with your email address to be the first to know about new products, VIP offers, blog features & more. bosons built with an odd number of anticommuting world-sheet ﬁeldsacting, for instance, on a massless vector meson. A third virtue of theGSO projection:it leads to space-time supersymmetry. Besides the formal interest, the massless spin 3/2 particle should couple to a current whose conserved charge is spin 1/2, i.e., asupersymmetric charge. Author's Note: What is supersymmetry? These MIA superpartners are really starting to freak out some physicists. It would be a really big deal if we never saw them, because particle physics desperately needs testable theories.

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known that moduli ﬁelds appearing in the leading order equations will remain massless even if higher order corrections are taken into account [22,23]. In our case, such an analysis has not been performed yet from the spacetime point of view, though the question can be answered from the world-sheet approach recently developed in [18].

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We investigate space-time supersymmetry in the WZW-like open superstring field theory, whose complete action was recently constructed. Starting from a natural space-time supersymmetry transformation at the linearized level, we construct a nonlinear transformation so as to keep the complete action invariant. bosons built with an odd number of anticommuting world-sheet ﬁeldsacting, for instance, on a massless vector meson. A third virtue of theGSO projection:it leads to space-time supersymmetry. Besides the formal interest, the massless spin 3/2 particle should couple to a current whose conserved charge is spin 1/2, i.e., asupersymmetric charge. We investigate space-time supersymmetry in the WZW-like open superstring field theory, whose complete action was recently constructed. Starting from a natural space-time supersymmetry transformation at the linearized level, we construct a nonlinear transformation so as to keep the complete action invariant. supersymmetry if the target space is four-dimensional [8]. The extended supersymmetry can only occur on-shell or if the target space is 4d-dimensional with d>1 [9]. The explicit structure of on-shell N=(4,4) supersymmetry in four dimensions was investigated in a recent paper [10].

ble with space-time supersymmetry, and non-local world-sheet e ects have to be taken into account for resolving this issue consistently. Afterall, it is a well-known fact that symmetries not commuting with a given Killing vector eld are not manifest in the dual background of the e ective eld theory description.

It is shown that the classical action for a particle with a local world-line supersymmetry lead after quantization to the Dirac-like equation which is defined by operators vector-alpha and circumflex-beta fulfilling the same anticommutation relations as the corresponding Dirac matrices, except that these operators are not Hermitian. Author's Note: What is supersymmetry? These MIA superpartners are really starting to freak out some physicists. It would be a really big deal if we never saw them, because particle physics desperately needs testable theories. Supersymmetry ﬁrst appeared in the early seventies in the context of string theory where it was a symmetry of the two-dimensional world sheet theory. At this time it was more considered as a purely theoretical tool. Shortly after it was realised that supersymmetry could be a symmetry of four-dimensional quantum Four–dimensional string backgrounds with local realizations of N= 4 world– sheet supersymmetry have, in the presence of a rotational Killing symmetry, only one complex structure which is an SO(2) singlet, while the other two form an SO(2) doublet. Although N= 2 world–sheet supersymmetry is al-