Triangle Seminars
Tuesday, 16 Mar 2010
A Geometric Apercu on N=1 Gauge Theories
Yang-Hui He
(Oxford University)
Abstract:
We present some new perspectives on N=1 gauge theories, especially SQCD, D-Brane Quiver Theories and the MSSM, from the stand-point of recent advances in computational and algorithmic algebraic geometry and commutative algebra. We introduce the plethystic program which systematically count gauge invariants and encodes certain hidden symmetries. Moreover, we discuss special structures of the vacuum moduli space, such as that of SQCD being Calabi-Yau.
We present some new perspectives on N=1 gauge theories, especially SQCD, D-Brane Quiver Theories and the MSSM, from the stand-point of recent advances in computational and algorithmic algebraic geometry and commutative algebra. We introduce the plethystic program which systematically count gauge invariants and encodes certain hidden symmetries. Moreover, we discuss special structures of the vacuum moduli space, such as that of SQCD being Calabi-Yau.
Posted by: KCL
Wednesday, 17 Mar 2010
Quiver gauge theories from open topological string theory
📍 London
Nils Carqueville
(Munich)
Abstract:
Effective quiver gauge theories arising from a stack of D3-branes on certain Calabi-Yau singularities can be studied from many points of view. In this talk we adopt a first principle approach via open topological string theory, which means that we construct the natural A-
infinity-structure of open string amplitudes in the associated D-brane category. This precisely reproduces the results of the method of brane tilings, without having to resort to any effective field theory computations. In particular, one obtains a general and simple formula for effective superpotentials.
Effective quiver gauge theories arising from a stack of D3-branes on certain Calabi-Yau singularities can be studied from many points of view. In this talk we adopt a first principle approach via open topological string theory, which means that we construct the natural A-
infinity-structure of open string amplitudes in the associated D-brane category. This precisely reproduces the results of the method of brane tilings, without having to resort to any effective field theory computations. In particular, one obtains a general and simple formula for effective superpotentials.
Posted by: KCL