Bundles, Connections and Gauge theories.
Last week I began a course on particle physics, focused on the electroweak interactions. By a first time I understood how the SU(2)xU(1) symmetry works.
Moreover, this draw a mental picture of how the mathematical concepts of principal bundle and connections are realized on a gauge theory.
If you are looking for a mathematical explanation, there are thousand of books, but some of my favorites are:

Choquet–Bruhat, Y. et al. Analysis, Manifolds and Physics. A set of two volumes containing the most useful concepts for MathematicalPhysics… including many applications.

Nakahara. Geometry, Topology and Physics.

Sen and Nash…

Quantum Fields and Strings. A course for mathematicians. A set of two books containing a oneyear programme from the IAS
For the physical explanation, the availability of literature is even wider then the above. I study from time to time based on

P. Ramond. Field Theory. A modern prime.

Peskin and Schroeder.

Mandl and Shaw.
but, a complete book is the set of

S.Weinberg, The quantum Theory of Fields.
And finally one of my personal heroes,

H. Georgi. Weak Interaction.
this author has a book called “Lie Algebras in Particle Physics”, both of them are amazing.
On future post I expect to have a change of explaining my personal point of view.
Oscar.
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