senior research fellow
theoretical physics group
institute of mathematical sciences
In order to better understand the notion of gauge invariance, we began this seminar with a discussion of (i) Dirac's work on constrained dynamical systems and (ii) the BRST formalism.
We decided then that a discussion of supersymmetry was appropriate, given the similarities between the BRST charge \( \mathcal{Q} \) and the supersymmetry charges \( Q_{\alpha} \). We plan to end the seminar with a discussion of Seiberg-Witten theory.
Each meeting will go on for an hour and a half. We meet every Saturday at 5:00 pm in Hall 123.
Note: An asterisk (*) next to a reference means it was mentioned in passing and is only tangentially related to the material discussed in the talk.
Date | Speaker | Topic | Notes/References |
6th December | Renjan John | The Moduli Space and \( S \)-Duality | [12], [13] |
15th November | M | Instantons and Seiberg's Nonrenormalization Theorems | [14] |
25th October | Renjan John | The \( \mathcal{N} = 2 \) Supersymmetric Yang-Mills Action | [11], [13] |
18th October | Renjan John | \( \mathcal{N}=1 \) Superspace: Chiral and Vector Superfields | [11], [12] |
11th October | Renjan John | The Supersymmetry Algebra and Its Representations | [11] |
8th October | M | BRST III: Quantum \( \mathcal{Q} \) Cohomology and Topological Field Theories | [8], [9], [10] |
27th September | M | BRST II: Ghosts and \( \mathcal{Q} \) Cohomology | [5], [8] |
20th September | Pulak Banerjee | Renormalization I: Loops and Divergences | ... |
13th September | M | BRST I: Phase Space and Local Charges | [8] |
6th September | Dr. Vivek M. Vyas | Constrained Theories III: Examples | [2], [6], [7] |
30th August | Dr. Vivek M. Vyas | Constrained Theories II: Dirac Brackets and Constraint Classes | [5] |
26rd August | Dr. Vivek M. Vyas | Constrained Theories I: Motivations, Multipliers and Singular Lagrangians | [1], [3], [4*] |