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The critical dimension of bosonic string theory in AdS space-time. (2001)
Journal Article
Davies, I., & Mansfield, P. The critical dimension of bosonic string theory in AdS space-time. Manuscript submitted for publication

The Polyakov bosonic string is quantised in Euclidean Anti-de Sitter space-time using functional methods. Regularisation of the functional determinants using both heat-kernel and zeta function techniques shows that the AdS_{D+1} string reduces to the... Read More about The critical dimension of bosonic string theory in AdS space-time..

Test of gauged N = 8 SUGRA/N = 1 SYM duality at sub-leading order (2001)
Journal Article
Mansfield, P., & Nolland, D. (2001). Test of gauged N = 8 SUGRA/N = 1 SYM duality at sub-leading order. Physics Letters B, 515(1-2), 192-196. https://doi.org/10.1016/s0370-2693%2801%2900826-7

An infra-red fixed point of N = 1 super-Yang–Mills theory is believed to be dual to a solution of five-dimensional gauged N = 8 supergravity. We test this conjecture at next to leading order in the large N expansion by computing bulk one-loop correct... Read More about Test of gauged N = 8 SUGRA/N = 1 SYM duality at sub-leading order.