Workshop ReportPeter Goddard Symposium
Hirosi Ooguri
Kavli IPMU Principal Investigator

Professor Peter Goddard is adistinguished mathematical physicist.
He formulated the quantization of therelativistic string, proved the no ghost
theorem of string theory, proposed theelectromagnetic duality in non-abeliangauge theory, and provided remarkableevidences for it, introduced and studied
a class of conformal field theory, which
has become the foundation of ourunderstanding of gauge symmetry instring theory. His seminal achievementsin these areas provide important
examples for researchers at the KavliIPMU, who try to open new avenuesof research at the interface between
mathematics and physics.
Professor Goddard has also
contributed in creating and maintaining
environments for researchers. He playeda leading role in establishing the Isaac
Newton Institute for Mathematical
Sciences at Cambridge University,where he was the Deputy Director. He
was the Master of St. Johnʼs College,
before becoming the eighth Directorof the Institute for Advanced Studyin Princeton. He stepped down fromthe position in 2012 and is currently aprofessor at the Institute.
Professor Goddard received theDirac Prize and Medal from theInternational Center for Theoretical
Physics in Trieste and is a Fellow ofthe Royal Society of London anda Commander of the Order of theBritish Empire.

Professor Goddard visited theKavli IPMU in March and April, 2014.
On this occasion, we organized aone-day symposium to celebrate
his contribution in science. Some ofthe faculty members and affiliatedmembers of the Kavli IPMU, whowere visitors of the Newton Instituteand members of the Institute forAdvanced Study under his leadership,
spoke at the symposium.
The Symposium opened with a talkby Hitoshi Murayama, the Director ofthe Kavli IPMU, on his recent work on
geometry of non-relativistic Goldstonebosons. This work generalizes Nambuʼswork on spontaneous symmetry
breaking in nontrivial ways.
Tohru Eguchi of Rikkyo University
spoke on the Mathieu Moonshine,a joint work with Hirosi Ooguri andYuji Tachikawa of the Kavli IPMU. This
work originated from the work ofEguchi and Ooguri, 25 years ago, with
Anne Taormina and Sung-Kil Yang. 21years after this original work, a chanceencounter of Eguchi with Ooguri andTachikawa in 2010 led to a discovery

Peter Goddard (left) and Hitoshi Murayama (right)
talking at the Symposium.

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Kavli IPMU News No. 26 June 2014of the remarkable connection
between K3 geometry and the largest
Mathieu group M24.
Kentaro Hori of the Kavli IPMU also
talked about his PhD thesis published
20 years ago, which turned out tohave significant implications of current
theoretical research. Yuji Tachikawa
talked about instantons and string
theory and Simeon Hellerman on
string theory of the Regge intercept.
The Symposium ended with a talk byPeter Goddard himself on the formulaof Cachazo, He, and Yuan for YangMills tree amplitudes.
The speakers chose their topics
to fit with the range of research
activities of Peter Goddard, and there
were lively discussions during coffee
breaks and lunch. On the day after thesymposium, the Kavli IPMU recorded
a conversation of Peter Goddard withHitoshi Murayama and Hirosi Ooguri
on research at the interface of physics
and mathematics. Its transcript
appears in two parts (Part I, pp. 1421 in this issue, and Part II in the nextissue) of the Kavli IPMU News.