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| Paper IPM / P / 18108 |
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We study null pp-branes, pp-branes with a Carrollian p+1p+1-dimensional worldvolume embedded in a generic DD-dimensional flat Minkowski target space. This theory has a generalized BMSp+1p+1â gauge symmetry. By fixing the light-cone gauge, the BMS symmetry is partly fixed, leaving pp``momentum constraints'' alongside pp-dimensional area-preserving diffeomorphisms. We quantize the theory in the light-cone gauge via canonical quantization and construct the physical Hilbert space by imposing the remaining constraints using sandwich conditions: the constraints must vanish when sandwiched between any two physical states. We show that solutions to the sandwich conditions are classified into p+1p+1 distinct classes, which we completely specify. In addition, we discuss special and interesting case of membranes in four dimensions and examine the physical implications of the quantized null pp-brane and its associated physical Hilbert space.
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