A constrained supertwistor approach to the D0-brane is developed, related to the spinor moving frame method, and quantized to yield the spectrum of the massive counterpart of linearized type IIA supergravity.
On the absence of BPS preonic solutions in IIA and IIB supergravities
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abstract
We consider the present absence of 31 out of 32 supersymmetric solutions in supergravity i.e., of solutions describing BPS preons. A recent result indicates that (bosonic) BPS preonic solutions do not exist in type IIB supergravity. We reconsider this analysis by using the G-frame method, extend it to the IIA supergravity case, and show that there are no (bosonic) preonic solutions for type IIA either. For the classical D=11 supergravity no conclusion can be drawn yet, although the negative IIA results permit establishing the conditions that preonic solutions would have to satisfy. For supergravities with `stringy' corrections, the existence of BPS preonic solutions remains fully open.
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Twistor approach to classical and quantum D0-brane
A constrained supertwistor approach to the D0-brane is developed, related to the spinor moving frame method, and quantized to yield the spectrum of the massive counterpart of linearized type IIA supergravity.