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Unformatted text preview: DBranes in Field Theory David Tong hepth/0512192, JHEP 02 (2006) 030 ¡ Objective ¢ To study Dbrane like objects in field theories, removed from the complexities of gravity ¡ Motivations ¢ To understand the relationship between string and gauge theories for semiclassical, 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 OpenClosed String Duality ¡ Tree level closed string = oneloop open string ¡ Sum over all modes to see equivalence ¡ In certain regimes, can restrict attention to lowest mode ¡ Both strings and branes DBranes in Field Theory ¡ The string can end on the brane ¡ When branes approach, the dynamics is governed by light, stretched strings exist as solitons DBranes in Nature ¡ DBranes in He 3 ¡ DBranes in Fluid Dynamics BPhase APhase ¡ DBranes in Wyoming ut they only satisfy the first 2 criteria DBranes in Field Theory There are 3 field theories that admit Dbranes with all properties super YangMills in d=3+1: The domain wall is a Dbrane for the QCD flux tube. N = 1 super QCD in d=3+1: The domain wall is a Dbrane for the magnetic vortex string. N = 2 super YangMills in d=5+1: The monopole 2brane is a Dbrane 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 FayetIliopoulos 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.
 Spring '11
 Aster
 Gravity, String Theory

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