Abstract
In previous works (arXiv:1610.07916, arXiv:1711.07921, arXiv:1807.00186) we studied a class of toric Calabi-Yau threefolds which engineer six-dimensional supersymmetric gauge theories with gauge group $U(N)$ and adjoint matter. The K\"ahler moduli space of these manifolds can be extended through flop transformations to include regions which are described by so-called shifted toric web diagrams. In this paper we analyse gauge theories that are engineered by these shifted toric web diagrams and argue that in specific limits, some of the them engineer five-dimensional quiver gauge theories with gauge group $G\subset U(N)$ and with fundamental and bi-fundamental matter. We discuss several examples in detail and describe how the matter sector is obtained from the six-dimensional parent theory.
Highlights
The engineering of five- and six-dimensional superconformal theories in string theory, using branes or geometry, has provided insights into various properties of these theories including the allowed matter content
High Energy Phys. 11 (2018) 016], we studied a class of toric Calabi-Yau threefolds which engineer six-dimensional supersymmetric gauge theories with gauge group UðNÞ and adjoint matter
This geometry engineers a five-dimensional gauge theory, which has been previously studied in the literature [36]: It corresponds to a theory with gauge group Uð3Þ whose matter content transforms as four copies of its fundamental representation
Summary
The engineering of five- and six-dimensional superconformal theories in string theory, using branes or geometry, has provided insights into various properties of these theories including the allowed matter content. The remaining web diagram (shown in Fig. 5) is still toric and, corresponds to local dP3 The latter engineers [36] a five-dimensional gauge theory with gauge group SUð2Þ and whose matter content transforms as Nf 1⁄4 2 copies of the fundamental representation. This geometry engineers a five-dimensional gauge theory, which has been previously studied in the literature [36]: It corresponds to a theory with gauge group Uð3Þ whose matter content transforms as four copies of its fundamental representation. The additional constraint relates the two coupling constants of the gauge groups
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
