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SUMMARY:Introduction to supersymmetry
DTSTART;VALUE=DATE-TIME:20060502T130000Z
DTEND;VALUE=DATE-TIME:20060502T140000Z
DTSTAMP;VALUE=DATE-TIME:20261112T231907Z
UID:indico-event-1496@indico.ific.uv.es
DESCRIPTION:beginning 2nd May 2006 and lasting two weeks (timetable: May 2
 \,3\,4: 15.00-17.30\; May 8: 11.00-13.00\; May 9\,10\,11: 15.00-17.30)\nPl
 an of the course (tentative)\n1. Simple and extended Poincaré supersymmet
 ry: motivations\, definitions\, notation. The no-go Coleman-Mandula theore
 m and how it is evaded in extended susy. 4D-susy via dimensional reduction
  from D > 4\; central charges. Examples of susy realizations on fields: ph
 ysical and auxiliary fields\, on-shell and off-shell realizations. Non-lin
 ear realizations of spontaneously broken supersymmetry.\n2. Superspace as 
 a natural framework for supersymmetry. Coset approach. Merits of off-shell
  superfield formulations. Superspin as a generalization of the square of P
 auli-Lubanski vector. Chirality as the simplest Grassmann analyticity. N=1
  theories in superspace: matter and super Yang-Mills. Kähler geometry of 
 N=1 sigma models from their superspace formulation.\n3. N=2 supersymmetry 
 and harmonic superspace. Grassmann harmonic analyticity as the true N=2 an
 alog of N=1 chirality. N=2 hypermultiplet on shell and off shell\, infinit
 e number of auxiliary fields as the price for off-shell unconstrained form
 ulation. Most general hypermultiplet action and hyper Kähler sigma models
 .\n4. Geometric principles underlying N=0 and N=1 gauge theories. N=2 SYM 
 theory from preserving harmonic analyticity. Wess-Zumino gauge in N=1 and 
 N=2 supersymmetric Yang Mills (SYM) theories. Superfield and component act
 ions. Maximally extended N=4 SYM theory in N=2 superfield formulation.\n5.
  Elements of quantum superfield theory. Fixing the gauge\, superfield FP g
 hosts\, vertices and propagators. Simplest Feynman supergraphs. Basic idea
  of non-renormalization theorems.\n 6. Supergravity as supersymmetrization
  of Einstein theory. Questions to be answered. N=1 supergravity\, the meth
 od of conformal compensators. From conformal N=2 SG to N=2 Poincaré SG. M
 aximally extended N=8 SG.\n7. N=3 harmonic analyticity. The N=3 SYM off-sh
 ell action as the harmonic analogue of Chern-Simons action. Ultraviolet fi
 niteness made manifest.\n8. Some instructive toy examples. N=2\, N=4 and N
 =8 supersymmetric mechanics. N=4\, 1D harmonic superspace. Gauging supersy
 mmetric quantum mechanics as a tool to relate its various models (based on
  some recent work).\n9. Some uses of superconformal symmetries in diverse 
 dimensions. Conformal/AdS superalgebras. A simple example: conformal and s
 uperconformal mechanics. Tensorial superspace and its generalized supercon
 formal symmetry OSp(1|8). Higher spins from non-linear realizations of OSp
 (1|8).\n\nhttps://indico.ific.uv.es/event/1496/
LOCATION:Dpto. de Física Teórica (UVEG) Sala Seminarios
URL:https://indico.ific.uv.es/event/1496/
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