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  • http://relativity.livingreviews.org/Images/Authors/persson.jpg
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  • Institut für Theoretische Physik, ETH Zürich, Wolfgang-Pauli-Str. 27, 8093 Zürich, Switzerland
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  • persson.daniel
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  • Persson
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  • Daniel
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  • My research so far has been related in various ways to the investigation of the underlying algebraic structures in supergravity and string theory. One point of entry into this topic is the analysis of gravitational theories close to a spacelike singularity (the "BKL-limit"), for which infinite-dimensional Kac-Moody algebras turn out to play an important role. More precisely, for many theories of interest, the dynamics in the vicinity of a spacelike singularity is controlled by hyperbolic Coxeter groups, corresponding to Weyl groups of hyperbolic Kac-Moody algebras. The BKL-limit therefore reveals a "hidden" arithmetic structure in theories coupled to gravity. Recently, I have investigated how this structure is modified when the spatial dimensions are described by compact manifolds of nontrivial topology. From another point of view, it is well known that similar arithmetic structures arise in string/M-theory in the form of discrete U-duality groups. Motivated by this, I am also studying the construction of arithmetic subgroups of Lie groups, and their relation with automorphic forms.
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