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Signals of a new phase in N=2 gauge theory with a magnetic field on the three-sphere (2014)
Journal Article
Suphakorn, C., Peeters, K., Vanichchapongjaroen, P., & Zamaklar, M. (2014). Signals of a new phase in N=2 gauge theory with a magnetic field on the three-sphere. Journal of High Energy Physics, 2014(9), Article 58. https://doi.org/10.1007/jhep09%282014%29058

We study the effect of a magnetic field on N = 2 super-Yang-Mills on S 3 at strong coupling using the gauge/gravity correspondence. As in previous work that dealt with the theory in infinite volume, we find that increasing the magnetic field pushes t... Read More about Signals of a new phase in N=2 gauge theory with a magnetic field on the three-sphere.

Hexagonal Patterns in a Simplified Model for Block Copolymers (2014)
Journal Article
Bourne, D., Peletier, M., & Roper, S. (2014). Hexagonal Patterns in a Simplified Model for Block Copolymers. SIAM Journal on Applied Mathematics, 74(5), 1315-1337. https://doi.org/10.1137/130922732

In this paper we study a new model for patterns in two dimensions, inspired by diblock copolymer melts with a dominant phase. The model is simple enough to be amenable not only to numerics but also to analysis, yet sophisticated enough to reproduce h... Read More about Hexagonal Patterns in a Simplified Model for Block Copolymers.

Remarks on the Convergence of Pseudospectra (2014)
Journal Article
Boegli, S., & Siegl, P. (2014). Remarks on the Convergence of Pseudospectra. Integral Equations and Operator Theory, 80(3), 303-321. https://doi.org/10.1007/s00020-014-2178-1

We establish the convergence of pseudospectra in Hausdorff distance for closed operators acting in different Hilbert spaces and converging in the generalised norm resolvent sense. As an assumption, we exclude the case that the limiting operator has c... Read More about Remarks on the Convergence of Pseudospectra.

Multiboundary Wormholes and Holographic Entanglement (2014)
Journal Article
Balasubramanian, V., Hayden, P., Maloney, A., Marolf, D., & Ross, S. (2014). Multiboundary Wormholes and Holographic Entanglement. Classical and Quantum Gravity, 31(18), Article 185015. https://doi.org/10.1088/0264-9381/31/18/185015

The AdS/CFT correspondence relates quantum entanglement between boundary conformal field theories and geometric connections in the dual asymptotically anti-de Sitter spacetime. We consider entangled states in the $n$-fold tensor product of a 1 + 1 di... Read More about Multiboundary Wormholes and Holographic Entanglement.

Holographic Metals and Insulators with Helical Symmetry (2014)
Journal Article
Donos, A., Goutéraux, B., & Kiritsis, E. (2014). Holographic Metals and Insulators with Helical Symmetry. Journal of High Energy Physics, 2014(9), Article 038. https://doi.org/10.1007/jhep09%282014%29038

Homogeneous, zero temperature scaling solutions with Bianchi VII spatial geometry are constructed in Einstein-Maxwell-Dilaton theory. They correspond to quantum critical saddle points with helical symmetry at finite density. Assuming AdS 5 UV asympto... Read More about Holographic Metals and Insulators with Helical Symmetry.

Embedded Morse Theory and Relative Splitting of Cobordisms of Manifolds (2014)
Journal Article
Borodzik, M., & Powell, M. (2016). Embedded Morse Theory and Relative Splitting of Cobordisms of Manifolds. Journal of Geometric Analysis, 26(1), 57-87. https://doi.org/10.1007/s12220-014-9538-6

We prove that an embedded cobordism between manifolds with boundary can be split into a sequence of right product and left product cobordisms, if the codimension of the embedding is at least two. This is a topological counterpart of the algebraic spl... Read More about Embedded Morse Theory and Relative Splitting of Cobordisms of Manifolds.

Lattice Gerbe Theory (2014)
Journal Article
Lipstein, A. E., & Reid-Edwards, R. A. (2014). Lattice Gerbe Theory. Journal of High Energy Physics, 2014(09), Article 034. https://doi.org/10.1007/jhep09%282014%29034

We formulate the theory of a 2-form gauge field on a Euclidean spacetime lattice. In this approach, the fundamental degrees of freedom live on the faces of the lattice, and the action can be constructed from the sum over Wilson surfaces associated wi... Read More about Lattice Gerbe Theory.

Discontinuity waves as tipping points: Applications to biological & sociological systems (2014)
Journal Article
Bissell, J., & Straughan, S. (2014). Discontinuity waves as tipping points: Applications to biological & sociological systems. Discrete and Continuous Dynamical Systems - Series B, 19(7), 1911-1934. https://doi.org/10.3934/dcdsb.2014.19.1911

The `tipping point' phenomenon is discussed as a mathematical object, and related to the behaviour of non-linear discontinuity waves in the dynamics of topical sociological and biological problems. The theory of such waves is applied to two illustrat... Read More about Discontinuity waves as tipping points: Applications to biological & sociological systems.

Leapfrogging vortex rings in the Landau–Lifshitz equation (2014)
Journal Article
Niemi, A., & Sutcliffe, P. (2014). Leapfrogging vortex rings in the Landau–Lifshitz equation. Nonlinearity, 27(9), https://doi.org/10.1088/0951-7715/27/9/2095

Vortex rings are ubiquitous in fluids, with smoke rings being a familiar example. The interaction of multiple vortex rings produces complex dynamical behaviour, such as the leapfrogging motion first analysed by Helmholtz more than a century and a hal... Read More about Leapfrogging vortex rings in the Landau–Lifshitz equation.