Recently it was suggested that a graviton in AdS5 × S5 with a large momentum along the sphere can blow up into a spherical D-brane in S5. In this paper we show that the same graviton can also blow up into a spherical D-brane in AdS5 with exactly the same quantum numbers (angular momentum and energy). These branes are BPS, preserving 16 of the 32 supersymmetries. We show that there is a BPS clas...

The encoding of cities into non-planar dual graphs reveals their complex structure. We investigate the statistics of the typical space syntax measures for the five different compact urban patterns. Universal statistical behavior of space syntax measures uncovers the universality of the city creation mechanism. 1 Paradigm of a city Although, nowadays the majority of people live in cities [1] the...

We introduce a family of subadditive functions called Generator Functions for mixed integer linear programs. These functions were previously defined for pure integer programs with non-negative entries by Klabjan [13]. They are feasible in the subadditive dual and we show that they are enough to achieve strong duality. Several properties of the functions are shown. We then use this class of func...

Let M be a von Neumann algebra (not necessarily semi-finite). We provide a generalization of the classical Kadec-Pe lczynski subsequence decomposition of bounded sequences in L[0, 1] to the case of the Haagerup L-spaces (1 ≤ p < ∞). In particular, we prove that if (φn)n is a bounded sequence in the predual M∗ of M, then there exist a subsequence (φnk)k of (φn)n, a decomposition φnk = yk + zk su...

Dantzig-Wolfe decomposition (or reformulation) is well-known to provide strong dual bounds for specially structured mixed integer programs (MIPs) in practice. However, the method is not implemented in any state-of-the-art MIP solver as it is considered to require structural problem knowledge and tailoring to this structure. We provide a computational proof-of-concept that the process can be aut...

Silvia Picozzi, Kunihiko Yamauchi, Ivan A. Sergienko, Cengiz Sen, Biplab Sanyal, Elbio Dagotto CNR-INFM, CASTI Regional Lab. c/o Dip. Fisica, Università degli Studi dell’Aquila, 67100 Coppito (L’Aquila),Italy 2 Materials Science & Technology Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, USA and Dept. of Physics, The University of Tennessee, Knoxville, TN 37996, USA 3 Theoretical...

In the present talk we present an investigation of nonabelian SU(N) gauge theories, describing a system of fields with non–dual g and dual g̃ charges and revealing the generalized dual symmetry. The Zwanziger type action is suggested. The renormalization group equations for pure nonabelian theories, in particular for pure SU(3) × S̃U(3) gauge theory (as an example) are analysed. We consider not o...

The dynamics of the large-scale structure of the universe enjoys at all scales, even in the highly non-linear regime, a Lifshitz symmetry during the matter-dominated period. In this paper we propose a general class of six-dimensional spacetimes which could be a gravity dual to the four-dimensional large-scale structure of the universe. In this set-up, the Lifshitz symmetry manifests itself as a...

We derive the duality relation for the Hilbert series H (d; z) of almost symmetric numerical semigroup S (d) combining it with its dual H ( d; z ) . On this basis we establish the bijection between the multiset of degrees of the syzygy terms and the multiset of the gaps Fj , generators di and their linear combinations. We present the relations for the sums of the Betti numbers of even and odd i...