Geometric Engineering of N=1 Quantum Field Theories

نویسنده

  • Sheldon Katz
چکیده

We construct local geometric model in terms of Fand M-theory compactification on Calabi-Yau fourfolds which lead to N = 1 Yang-Mills theory in d = 4 and its reduction on a circle to d = 3. We compute the superpotential in d = 3, as a function of radius, which is generated by the Euclidean 5-brane instantons. The superpotential turns out to be the same as the potential for affine Toda theories. In the limit of vanishing radius the affine Toda potential reduces to the Toda potential.

برای دانلود رایگان 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

On Geometric Engineering of Supersymmetric Gauge Theories

We present the basic ideas of geometric engineering of the supersymmetric quantum field theories viewed as a low energy limit of type II strings and F-theory on singular Calabi Yau manifolds. We first give the main lines of toric geometry as it is a powerful technique to deal with compact complex manifolds. Then we introduce mirror symmetry which plays a crucial role in the study of superstring...

متن کامل

On Geometric Enegineering of Supersymmetric Gauge Theories

We present the basis ideas of geometric engineering of the supersymmetric quantum field theories viewed as a low energy limit of type II strings and F-theory on singular Calabi Yau manifolds. We first give the main lines of toric geometry as it is a pwerful technique to deal with compact complex manifolds. Then we introduce mirror symmetry which plays a crucial role in the sudy of superstring d...

متن کامل

Geometric Engineering of Quantum Field Theories

Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for N = 2 quantum field theories can be reduced to T-dualities of string theory. This is done by constructing a local geometric realization of quantum field theories together with a local application of mirror symmetry. This construction is not based on any duality...

متن کامل

On Geometric Engineering of N = 1 ADE Quiver Models

In this talk, we discuss four-dimensional N = 1 affine ADE quiver gauge models using the geometric engineering method in M-theory on G2 manifolds with K3 fibrations. Talk presented at the Workshop on Quantum Field Theory, Geometry and Non Perturbative Physics, Rabat, July 28th-29th, 2003. [email protected]

متن کامل

Geometric Dual and Matrix Theory for SO/Sp Gauge Theories

In this paper, we give a proof of the equivalence of N = 1 SO/Sp gauge theories deformed from N = 2 by the superpotential of adjoint field Φ and the dual type IIB supersting theory on CY threefold geometries with fluxes and orientifold action after geometric transition. Furthermore, by relating the geometric picture to the matrix model, we show the equivalence among the field theory and the cor...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996