Abstract
Using the Whitham hierarchy, we obtain the Picard—Fuchs equations in$${\mathcal N} = 2$$supersymmetric Yang—Mills theory for a classical gauge group with Nfmassless hypermultiplets. In the general case for Nf ≠ 0, there are at least r−2 Picard—Fuchs equations that can be computed exactly from the commutation relations of the meromorphic differentials defined up to a linear combination of holomorphic differentials on the Seiberg—Witten hyperelliptic curve. Using Euler operator techniques, we study the Picard—Fuchs equations, including instanton corrections. Moreover, using symbolic computer calculations, we can obtain a complete set of Picard—Fuchs equations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.