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TASI Lectures on Solitons - DAMTP

Preprint typeset in JHEP style - PAPER VERSION June 2005. TASI Lectures on Solitons Instantons, Monopoles, Vortices and Kinks David Tong Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, Wilberforce Road, Cambridge, CB3 OBA, UK. Abstract: These Lectures cover aspects of Solitons with focus on applications to the quantum dynamics of supersymmetric gauge theories and string theory. The Lectures consist of four sections, each dealing with a different soliton . We start with instantons and work down in co-dimension to monopoles, vortices and, eventually, domain walls. Emphasis is placed on the moduli space of Solitons and, in particular, on the web of connections that links Solitons of different types. The D-brane realization of the ADHM and Nahm construction for instantons and monopoles is reviewed, together with related constructions for vortices and domain walls.

Preprint typeset in JHEP style - PAPER VERSION June 2005 TASI Lectures on Solitons Instantons, Monopoles, Vortices and Kinks David Tong Department of Applied Mathematics and Theoretical Physics,

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