Supersymmetric σ-models, twistors, and the Atiyah-Hitchin metric

نویسنده

  • Ivan T. Ivanov
چکیده

The Legendre transform and its generalizations, originally found in supersymmetric σ-models, are techniques that can be used to give local constructions of hyperkähler metrics. We give a twistor space interpretation to the generalizations of the Legendre transform construction. The Atiyah-Hitchin metric on the moduli space of two monopoles is used as a detailed example. email: [email protected] email: [email protected]

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Gauging N=2 Supersymmetric Non-Linear σ-Models in the Atiyah-Ward Space-Time

We build up a class of N=2 supersymmetric non-linear σ-models in an N=1 superspace based on the Atiyah-Ward space-time of (2+2)–signature metric. We also discuss the gauging of isometries of the associated hyper-Kählerian target spaces and present the resulting gauge-covariant supersymmetric action functional. e-mail address: [email protected] e-mail address: [email protected]

متن کامل

Effective Lagrangian for 3d N = 4 Sym Theories for Any Gauge Group and Monopole Moduli Spaces

We construct low energy effective Lagrangians for 3d N = 4 supersymmetric Yang-Mills theory with any gauge group. They represent supersymmetric σ models at hyper–Kählerian manifolds of dimension 4r (r is the rang of the group). In the asymptotic region, perturbatively exact explicit expression for the metric are written. We establish the relationship of this metric with the TAUB-NUT metric desc...

متن کامل

Atiyah-Hitchin in Five Dimensional Einstein-Maxwell Theory

We construct exact solutions to five-dimensional Einstein-Maxwell theory based on Atiyah-Hitchin space. The solutions cannot be written explicitly in a closed form, so their properties are investigated numerically. The five-dimensional metric is regular everywhere except on the location of original bolt in four-dimensional Atiyah-Hitchin base space. On each time-fixed slices, the metric, asympt...

متن کامل

The Implicit Metric on a Deformation of the Atiyah-Hitchin manifold

Using twistor methods we derive a generating function which leads to the hyperkähler metric on a deformation of the Atiyah-Hitchin monopole moduli space. This deformation was first considered by Dancer through the quotient construction and is related to a charge two monopole configuration in a completely broken SU(3) gauge theory. The manifold and metric are the first members of a family of hyp...

متن کامل

Bubbles on Manifolds with a U(1) Isometry

We investigate the construction of five-dimensional, three-charge supergravity solutions that only have a rotational U(1) isometry. We show that such solutions can be obtained as warped compactifications with a singular ambi-polar hyper-Kähler base space and singular warp factors. We show that the complete solution is regular around the critical surface of the ambi-polar base. We illustrate thi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1995