D-branes in Field Theory - D-Branes in Field Theory David...

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Unformatted text preview: D-Branes in Field Theory David Tong hep-th/0512192, JHEP 02 (2006) 030 ¡ Objective ¢ To study D-brane like objects in field theories, removed from the complexities of gravity ¡ Motivations ¢ To understand the relationship between string and gauge theories for semi-classical, magnetic strings. ¢ To develop a new perspective on soliton scattering in field theory. The Plan Soliton Scattering Field Theory String Theory Open String Description Closed String Description D. Davies and K. Thorne S. Jensen J. Moore and E.P. Shellard Open-Closed String Duality ¡ Tree level closed string = one-loop open string ¡ Sum over all modes to see equivalence ¡ In certain regimes, can restrict attention to lowest mode ¡ Both strings and branes D-Branes in Field Theory ¡ The string can end on the brane ¡ When branes approach, the dynamics is governed by light, stretched strings exist as solitons D-Branes in Nature ¡ D-Branes in He 3 ¡ D-Branes in Fluid Dynamics B-Phase A-Phase ¡ D-Branes in Wyoming ut they only satisfy the first 2 criteria D-Branes in Field Theory There are 3 field theories that admit D-branes with all properties super Yang-Mills in d=3+1: The domain wall is a D-brane for the QCD flux tube. N = 1 super QCD in d=3+1: The domain wall is a D-brane for the magnetic vortex string. N = 2 super Yang-Mills in d=5+1: The monopole 2-brane is a D-brane for the instanton string. N = 2 ¡ ¡ ¡ Witten; Acharya and Vafa Hanany and Witten The Lagrangian: L = 1 4 e 2 F μν F μν + 1 2 e 2 ∂φ 2 + P N i =1 |D q i | 2 − P i ( φ − m i ) 2 | q i | 2 − e 2 2 ( P i | q i | 2 − v 2 ) 2 Supersymmetric U(1) gauge theory N isolated vacua: and neutral, real scalar N complex, charged scalars N = 2 real masses Fayet-Iliopoulos parameter m i v 2 gauge coupling e 2 φ = m i | q j | 2 = v 2 δ ij The Spectra There are three perturbative energy scales:...
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This note was uploaded on 02/07/2011 for the course PHYS 101 taught by Professor Aster during the Spring '11 term at East Tennessee State University.

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D-branes in Field Theory - D-Branes in Field Theory David...

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