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This study describes the background and a methodological framework for using hypergraphs to represent metabolic networks and tensors to align the networks. A hypergraph is suitable for intuitively,

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In particular, the spinorial geometry method is outlined and adapted to nearly maximally supersymmetric backgrounds.We then demonstrate its effectiveness by classifying the maximally supersymmetric IIB G-backgrounds and by showing that N = 31 IIB solutions do not exist.

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In this thesis we consider supersymmetric probes in backgrounds sourced by an M5-brane which is wrapped on holomorphic 2-cycles in C(^2) and C(^3), respectively. For the first case, we use M2-brane probes to compute the BPS spectra of the corresponding N = 2 gauge theory, as well as M5-brane probes to calculate field theory parameters such as the gauge coupling, theta angle and complex.

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-background on S2 Supersymmetric backgrounds in 2d The allowed supersymmetric background are easily classiﬁed. [C.C., Cremonesi, 2014] For a closed orientable Riemann surface of genus g: I If g >1, we need to identify A (R) = 1 2!. Witten’s A-twist. I If g = 1, this is ﬂat space. I If g = 0, we have two possibilities, depending on 1 2ˇ.

Sharma, Manabendra Shahalam, M. Wu, Qiang and Wang, Anzhong 2018. Preinflationary dynamics in loop quantum cosmology: monodromy potential. Journal of Cosmology and Astroparticle Physics, Vol. 2018,

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We review how the classification of all supersymmetric backgrounds of IIB supergravity can be reduced to the evaluation of the Killing spinor equations and their integrability conditions, which contain the field equations, on five types of spinors. This is an extension of the work [hep-th/0503046] to.

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This is a report on the progress that has been made towards the classification of supersymmetric backgrounds of ten and eleven dimensional supergravities. The problem is presented for both type I and type II theories and the key developments are described. An outline of the geometries of all supersymmetric type I backgrounds is also given.

This study describes the background and a methodological framework for using hypergraphs to represent metabolic networks and tensors to align the networks. A hypergraph is suitable for intuitively,

Sharma, Manabendra Shahalam, M. Wu, Qiang and Wang, Anzhong 2018. Preinflationary dynamics in loop quantum cosmology: monodromy potential. Journal of Cosmology and Astroparticle Physics, Vol. 2018,

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We review the remarkable progress that has been made the last 15 years towards the classification of supersymmetric solutions with emphasis on the description of the bilinears and spinorial geometry methods. We describe in detail the geometry of backgrounds of key supergravity theories, which have applications in the context of black holes, string theory, M-theory and the AdS/CFT.

The use of Grassmannian (noncommutative) variables [38–41] is indispensable when dealing with supersymmetric theories because such theories involve fermionic fields; that is, this kind of variables is of extreme importance in a superspace formalism.

Now what are we to think of a scientist who seems competent inside the laboratory, but who, outside the laboratory, believes in a spirit world? We ask why, and the scientist says something along the.

The bosonic and supersymmetric cases in D=3 and D=9 are studied, and it is shown that the latter is, in a certain limit, related to the matrix model formulation of M theory. This correspondence gives rise to a conjecture concerning a background independent form of M theory in terms of which excitations of the background independent membrane field theory that correspond to strings and D0 branes are identified.

SLAC-PUB-9099 Nonlocal String Theories on AdS 3 x S3 and Stable Non-Supersymmetric Backgrounds Work supported by Department of Energy contract DE–AC03–76SF00515.

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