mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...

and

theoretical physics Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict List of natural phenomena, natural phenomena. This is in contrast to experimental p ...

, a bifundamental representation is a

representation Representation may refer to: Law and politics *Representation (politics), political activities undertaken by elected representatives, as well as other theories ** Representative democracy, type of democracy in which elected officials represent a ...

obtained as a

tensor product In mathematics, the tensor product V \otimes W of two vector spaces V and W (over the same field) is a vector space to which is associated a bilinear map V\times W \rightarrow V\otimes W that maps a pair (v,w),\ v\in V, w\in W to an element of ...

of two fundamental or antifundamental representations. For example, the ''MN''-dimensional representation (''M'',''N'') of the group :

SU(M) \times SU(N)

is a bifundamental representation.K.SriHariTej (2014). "A Study of the Higgs Mechanism in Yang-Mills and Chern-Simons Field Theory". Indian Institute of Science Education and Research Pune.http://dr.iiserpune.ac.in:8080/xmlui/bitstream/handle/123456789/397/thesis.pdf?sequence=1&isAllowed=y Abstract algebra These representations occur in

quiver diagram In theoretical physics, a quiver diagram is a graph representing the matter content of a gauge theory that describes D-branes on orbifolds. Quiver diagrams may also be used to described \mathcal = 2 supersymmetric gauge theories in four dimensio ...

References

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