Integrable systems and supersymmetric gauge theory
نویسندگان
چکیده
منابع مشابه
Integrable systems and supersymmetric gauge theory
After the work of Seiberg and Witten, it has been seen that the dynamics of N=2 Yang-Mills theory is governed by a Riemann surface Σ. In particular, the integral of a special differential λSW over (a subset of) the periods of Σ gives the mass formula for BPS-saturated states. We show that, for each simple group G, the Riemann surface is a spectral curve of the periodic Toda lattice for the dual...
متن کاملOn Integrable Systems and Supersymmetric Gauge Theories
The properties of theN = 2 SUSY gauge theories underlying the Seiberg-Witten hypothesis are discussed. The main ingredients of the formulation of the finite-gap solutions to integrable equations in terms of complex curves and generating 1-differential are presented, the invariant sense of these definitions is illustrated. Recently found exact nonperturbative solutions to N = 2 SUSY gauge theori...
متن کاملOn Integrable Systems and Supersymmetric Gauge Theories
The properties of theN = 2 SUSY gauge theories underlying the Seiberg-Witten hypothesis are discussed. The main ingredients of the formulation of the finite-gap solutions to integrable equations in terms of complex curves and generating 1-differential are presented, the invariant sense of these definitions is illustrated. Recently found exact nonperturbative solutions to N = 2 SUSY gauge theori...
متن کاملIntegrable Structures in Supersymmetric Gauge and String Theory
The effective action of N=2 Yang-Mills theory with adjoint matter is shown to be governed by an integrable spin model with spectral parameter on an elliptic curve. We sketch a route to deriving this effective dynamics from the underlying Yang-Mills theory. Natural generalizations of this structure to all N=2 models, and to string theory, are suggested.
متن کاملSupersymmetric Gauge Theory
We consider anN = 2 supersymmetric SU(2)×U(1) gauge theory with Nf = 2 massless flavors and a Fayet-Iliopoulos (FI) term. In the presence of the FI term, supersymmetry is spontaneously broken at tree level, leaving a pseudo-flat direction in the classical potential. This vacuum degeneracy is removed once quantum corrections are taken into account. Due to the SU(2) gauge dynamics, the effective ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1996
ISSN: 0550-3213
DOI: 10.1016/0550-3213(95)00588-9