Supertwistors as quarks of SU(2,2|4)

Piet Claus, Murat Gunaydin, Renata Kallosh, Joachim Rahmfeld, Yonatan Zunger

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


The GS superstring on AdS5 × S5 has a nonlinearly realized, spontaneously broken SU(2, 2|4) symmetry. Here we introduce a two-dimensional model in which the unbroken SU(2, 2|4) symmetry is linearly realized. The basic variables are supertwistors, which transform in the fundamental representation of this supergroup. The quantization of this supertwistor model leads to the complete oscillator construction of the unitary irreducible representations of the centrally extended SU(2, 2|4). They include the states of d = 4 SYM theory, massless and KK states of AdS5 supergravity, and the descendants on AdS5 of the standard massive string states, which form intermediate and long massive supermultiplets. We present examples of long massive supermultiplets and discuss possible states of solitonic and (p, q) strings.

Original languageEnglish (US)
Pages (from-to)XXIX-13
JournalJournal of High Energy Physics
Issue number5
StatePublished - 1999

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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