MG13 - Talk detail |
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Participant |
Fleig, Philipp | |||||||
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Institution |
Albert-Einstein Institute - Mühlenberg 1 - Potsdam - Brandenburg - Germany | |||||||
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Session |
ST2 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Eisenstein series for infinite-dimensional U-duality groups | |||||
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Abstract |
In this talk I will present recent progress made in the study of Eisenstein series, appearing as coefficients of curvature correction terms in the low energy-expansion of type II string theory. In particular I will show how these Eisenstein series can be defined in D=1 and 2 space-time dimensions, where they are invariant under the infinite-dimensional U-duality groups E9 and E10. Furthermore I will demonstrate that the particular curvature correction coefficients appearing in the expansion possess meaningful Fourier-like expansions, thereby continuing the mathematical pattern previously know from higher space-time dimensions. Finally I will discuss Eisenstein series as solutions to Laplace eigenvalue equations. |
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