?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
?

Shortcut

PrevPrev Article

NextNext Article

Larger Font Smaller Font Up Down Go comment Print
Extra Form
일정시작 2022-12-02
일정종료 2022-12-02
배경색상 #6aa84f
  • Date :  2022-12-2 (Fri), 15:00 ~ 16:00  
  • Place :  127-116  (SNU)  
  • Speaker :  Eric Ragoucy (LAPTh, CNRS)

  • TiTle  :   N=2 supersymmetric W algebras from Hamiltonian reduction

  • Abstract : 

I will review the formalism of classical Dirac brackets in the context of W algebras and superalgebras. Dirac brackets allow to deal with a Poisson bracket when constraints are imposed in the phase space. In the context of Wess-Zumino models, this amounts to consider an Hamiltonian reduction of the model, leading to Toda models and W algebras.  When considering a special class of Lie superalgebras, it leads to supersymmetric W algebras. In that case, one can introduce a super-field formalism to make the N=1 supersymmetry manifest. For a sub-class of these Lie superalgebras, it leads to N=2 supersymmetric W algebras. I will present these different cases, the last case opening the possibility of a procedure dealing with N=2 super-fields.

 

 


List of Articles
No. Subject Author Date Views
Notice QSMS Mailing List Registration qsms 2021.09.09 37547
82 [QSMS Seminar 20220721] Finding ALL solutions qsms 2022.07.14 18172
81 [SNU Number Theory Seminar 2022-06-21] Arithmetic local systems over the moduli space of curves qsms 2022.07.21 18002
80 [SNU Number Theory Seminar 2022-08-08] Geometry of the $B_{dR}^+$-Grassmannian qsms 2022.08.04 18030
79 [SNU Number Theory Seminar 2022-08-11] The dual Lagrangian fibration of hyper-Kähler manifolds qsms 2022.08.04 18890
78 [QSMS Seminar 2022-08-24] Vector bundles and representation theory on a curve qsms 2022.08.13 18126
77 [QSMS Seminar 2022-08-31] Localization of the category of modules over quiver Hecke algebras qsms 2022.08.25 18153
76 [QSMS-BK21 Seminar] Past seminars qsms 2022.08.26 17738
75 [QSMS-BK21 Seminar 2022-08-29] Symplectic Cohomology, String Topology, and Deformations qsms 2022.08.29 18993
74 [SNU Number Theory Seminar 2022-09-16] Height-moduli and lower order terms qsms 2022.09.06 18741
73 [QSMS Seminar 2022-10-11] (q,t)-Cartan matrix and representation theories related to the specializations of the matrix file qsms 2022.09.18 20102
72 [QSMS Seminar 2022-09-27] Categories of Whittaker Modules over Lie superalgebras and Categorification of Fock Spaces qsms 2022.09.20 20205
71 [QSMS-BK21 Symplectic Geometry Seminar 2022-09-30] Introduction to Floer Homotopy: Bordism and Flow Categories qsms 2022.09.26 20357
70 [QSMS Monthly Seminar 2022-09-30] Monotone Lagrangians via toric degenerations: algebraic approach qsms 2022.09.30 18226
69 [QSMS Seminar 2022-10-25] Rational liftings and gRSK qsms 2022.10.08 17074
68 [SNU Number Theory Seminar 2022-11-11] Mixed moments and the joint distribution of random groups qsms 2022.10.24 18567
67 [QSMS-BK21 Symplectic Geometry Seminar 2022-11-04] Introduction to Floer Homotopy: Kuranishi Structures qsms 2022.10.26 18653
66 [SNU Number Theory Seminar 2022-11-04] Approximations with mod 2 congruence conditions qsms 2022.10.27 18217
65 [QSMS Monthly Seminar 2022-10-28] Oscillator representations of quantum affine algebras   qsms 2022.10.30 17757
» [QSMS Seminar 2022-12-2] N=2 supersymmetric W algebras from Hamiltonian reduction qsms 2022.11.25 16816
63 [QSMS-BK21 Symplectic Geometry Seminar 2022-12-09] Introduction to Floer Homotopy: Formal Groups and Complex Cobordism qsms 2022.11.28 18607
Board Pagination Prev 1 2 3 4 5 6 7 8 9 Next
/ 9