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SUMMARY:New multiplets in N=2 conformal supergravity. (The Quantum Spaceti
me Seminar Series)
DTSTART;VALUE=DATE-TIME:20180416T060000Z
DTEND;VALUE=DATE-TIME:20180416T070000Z
DTSTAMP;VALUE=DATE-TIME:20180820T053350Z
UID:indico-event-6372@cern.ch
DESCRIPTION:Conformal supergravity plays an important role in the off-shel
l construction of the physical Poincare supergravity by employing a set of
procedures\, which are collectively referred to as “superconformal mult
iplet calculus”. An important ingredient in the whole procedure is the k
nowledge of various multiplets\, which are basically irreducible represent
ations of the underlying superconformal algebra. One of such multiplets is
the Weyl multiplet\, which contains the graviton and its superpartner\, a
nd various auxiliary fields necessary to complete the field representation
. In five and six dimensions\, it has been seen that there exists two diff
erent versions of Weyl multiplet in the minimal supergravity\, which diffe
rs in the auxiliary field contents. The version that contains a scalar fie
ld of Weyl weight +1 is referred to as the dilaton Weyl multiplet and the
other version is referred to as the standard Weyl multiplet. In four dimen
sional N=2 supergravity\, so far only the standard version of the Weyl mul
tiplet was known. This is the version that is related to the standard vers
ion in five and six dimensional minimal supergravity via dimensional reduc
tion. However\, the general arguments of dimensional reduction also sugges
t that the dilaton version of the Weyl multiplet should exist in four dime
nsional N=2 supergravity. We will explicitly show the construction of this
multiplet in four dimensions along with its complete supersymmetry transf
ormation laws. If time permits\, we will also discuss the construction of
a different matter multiplet in four dimensional N=2 supergravity that has
24+24 components and contains a real scalar field\, which we refer to as
the “real scalar multiplet”. This was a byproduct of our attempt to co
nstruct the above mentioned dilaton Weyl multiplet using a different appro
ach. We found that our multiplet is actually a curved space generalization
of the multiplet introduced by Howe et al in 1983 in their attempt to und
erstand off-shell version of the hypermultiplet. We will also discuss the
embedding of the 8+8 component N=2 tensor multiplet in the real scalar mul
tiplet by appropriately constraining the real scalar multiplet. We will en
d with some future directions.\n\nhttps://indico.tifr.res.in/indico/confer
enceDisplay.py?confId=6372
LOCATION: A 304
URL:https://indico.tifr.res.in/indico/conferenceDisplay.py?confId=6372
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