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Generating a dynamical M2 brane from super-gravitons in a pp-Wave Background

Communications in Theoretical Physics 2022年第1期74卷 16-24页

作者： Yi-Fei Chen J X Lu Nan Zhang Interdisciplinary Center for Theoretical Study University of Science and Technology of ChinaHefeiAnhui 230026China Peng Huanwu Center for Fundamental Theory HefeiAnhui 230026China

We present a detailed study of dynamically generating an M2 brane from super-gravitons(or DO branes)in a pp-Wave Background possessing maximal spacetime SUSY.We have three kinds of dynamical solutions depending on the excess energy which appears as an order parameter signalling a critical phenomenon about the solutions.As the excess energy is below a critical value,we have two branches of the solution,one can have its size zero while the other cannot for each given excess energy.However there can be an instanton tunnelling between the two.Once the excess energy is above the critical value,we have a single solution whose dynamical behavior is basically independent of the background chosen and whose size can be zero at some instant.A by product of this study is that the size of particles or extended objects can grow once there is a non-zero excess energy even without the presence of a background flux,therefore lending support to the spacetime uncertainty principle.

关键词： M2 brane super-gravitons pp-Wave Background spacetime uncertainty principle

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Nonabelian Dualization of Plane wave backgrounds

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Journal of Modern Physics 2012年第9期3卷 1088-1095页

作者： Ladislav Hlavaty Miroslav Turek Faculty of Nuclear Sciences and Physical Engineering Czech Technical University in PraguePragueCzech Republic

We investigate plane-parallel wave metrics from the point of view of their (Poisson-Lie) T-dualizability. For that purpose we reconstruct the metrics as backgrounds of nonlinear sigma models on Lie groups. For construction of dual backgrounds we use Drinfel’d doubles obtained from the isometry groups of the metrics. We find dilaton fields that enable to satisfy the vanishing beta equations for the duals of the homogenous plane-parallel wave metric. Torsion potentials or B-fields, invariant w.r.t. the isometry group of Lobachevski plane waves are obtained by the Drinfel’d double construction. We show that a certain kind of plurality, different from the (atomic) Poisson-Lie T-plurality, may exist in case that metrics admit several isometry subgroups having the dimension of the Riemannian manifold. An example of that are two different backgrounds dual to the homogenous plane-parallel wave metric.

关键词： Sigma Model String Duality pp-Wave Background

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