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Conserved quantities for integrable chiral equations in 2+1 dimensions. (1995)
Journal Article
Ioannidou, T., & Ward, R. (1995). Conserved quantities for integrable chiral equations in 2+1 dimensions. Physics Letters A, 208(3), 209-213. https://doi.org/10.1016/0375-9601%2895%2900781-w

The integrable (2+1)-dimensional chiral equations are related to the self-dual Yang-Mills equation. Previously known nonlocal conservation laws do not yield finite conserved charges, because the relevant spatial integrals diverge. We exhibit infinite... Read More about Conserved quantities for integrable chiral equations in 2+1 dimensions..

Bogomol'nyi Bounds for Two-Dimensional Lattice Systems. (1997)
Journal Article
Ward, R. (1997). Bogomol'nyi Bounds for Two-Dimensional Lattice Systems. Communications in Mathematical Physics, 184(2), 397-410. https://doi.org/10.1007/s002200050065

The O(3) sigma model and abelian Higgs model in two space dimensions admit topological (Bogomol'nyi) lower bounds on their energy. This paper proposes lattice versions of these systems which maintain the Bogomol'nyi bounds. One consequence is that in... Read More about Bogomol'nyi Bounds for Two-Dimensional Lattice Systems..

Hopf solitons from instanton holonomy. (2001)
Journal Article
Ward, R. (2001). Hopf solitons from instanton holonomy. Nonlinearity, 14(6), 1543-1554. https://doi.org/10.1088/0951-7715/14/6/307

The holonomy of an SU(2) N-instanton in the x4-direction gives a map from Bbb R3 into SU(2), which provides a good model of an N-Skyrmion. Combining this map with the standard Hopf map from SU(2)congS3 to S2 gives a configuration for a Hopf soliton o... Read More about Hopf solitons from instanton holonomy..

Plane waves: To infinity and beyond! (2002)
Journal Article
Marolf, D., & Ross, S. F. (2002). Plane waves: To infinity and beyond!. Classical and Quantum Gravity, 19, 6289-6302. https://doi.org/10.1088/0264-9381/19/24/302

We describe the asymptotic boundary of the general homogeneous plane wave spacetime, using a construction of the 'points at infinity' from the causal structure of the spacetime as introduced by Geroch, Kronheimer and Penrose. We show that this constr... Read More about Plane waves: To infinity and beyond!.

Supersymmetric conical defects: towards a string theoretic description of black hole formation (2001)
Journal Article
Balasubramanian, V., de Boer, J., Keski-Vakkuri, E., & Ross, S. F. (2001). Supersymmetric conical defects: towards a string theoretic description of black hole formation. Physical Review D, Particles and fields, 64(6), https://doi.org/10.1103/physrevd.64.064011

Conical defects, or point particles, in AdS3 are one of the simplest nontrivial gravitating systems, and are particularly interesting because black holes can form from their collision. We embed the BPS conical defects of three dimensions into the N=4... Read More about Supersymmetric conical defects: towards a string theoretic description of black hole formation.

Order 1/N2 test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly (2000)
Journal Article
Mansfield, P., & Nolland, D. (2000). Order 1/N2 test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly. Physics Letters B, 495(3-4), 435-439. https://doi.org/10.1016/s0370-2693%2800%2901247-8

We test the Maldacena conjecture for type IIB string theory / Yang–Mills by calculating the one-loop corrections in the bulk theory to the Weyl anomaly of the boundary CFT when the latter is coupled to a Ricci flat metric. The contributions cancel wi... Read More about Order 1/N2 test of the Maldacena conjecture: cancellation of the one-loop Weyl anomaly.

The vacuum functional at large distances (1995)
Journal Article
Mansfield, P. (1995). The vacuum functional at large distances. Physics Letters B, 358(3-4), 287-296. https://doi.org/10.1016/0370-2693%2895%2901007-d

For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional can be expanded as a sum of local functionals, however, this does not satisfy the obvious form of the Schrödinger equation. For ϕ4 theory we construc... Read More about The vacuum functional at large distances.

Non-perturbative Vevs from a local expansion. (1998)
Journal Article
Jaramillo, A., & Mansfield, P. (1998). Non-perturbative Vevs from a local expansion. Acta Physica Polonica B, 29(9), 2487-2492

We propose a method for the calculation of vacuum expectation values (VEVs) given a non-trivial, long-distance vacuum wave functional (VWF) of the kind that arises, for example, in variational calculations. The VEV is written in terms of a Schrödinge... Read More about Non-perturbative Vevs from a local expansion..