Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-04-19
Nucl.Phys. B534 (1998) 697-719
Physics
High Energy Physics
High Energy Physics - Theory
27 pages, Plain TeX; minor typos corrected, 5 refs added
Scientific paper
10.1016/S0550-3213(98)00630-0
The Seiberg-Witten curves and differentials for $\N=2$ supersymmetric Yang-Mills theories with one hypermultiplet of mass $m$ in the adjoint representation of the gauge algebra $\G$, are constructed for arbitrary classical or exceptional $\G$ (except $G_2$). The curves are obtained from the recently established Lax pairs with spectral parameter for the (twisted) elliptic Calogero-Moser integrable systems associated with the algebra $\G$. Curves and differentials are shown to have the proper group theoretic and complex analytic structure, and to behave as expected when $m$ tends either to 0 or to $\infty$. By way of example, the prepotential for $\G = D_n$, evaluated with these techniques, is shown to agree with standard perturbative results. A renormalization group type equation relating the prepotential to the Calogero-Moser Hamiltonian is obtained for arbitrary $\G$, generalizing a previous result for $\G = SU(N)$. Duality properties and decoupling to theories with other representations are briefly discussed.
D'Hoker Eric
Phong Duong Hong
No associations
LandOfFree
Spectral Curves for Super-Yang-Mills with Adjoint Hypermultiplet for General Lie Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Spectral Curves for Super-Yang-Mills with Adjoint Hypermultiplet for General Lie Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral Curves for Super-Yang-Mills with Adjoint Hypermultiplet for General Lie Algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-631318