On half-BPS states of the ABJM theory
Journal of High Energy Physics, ISSN: 1126-6708, Vol: 2009, Issue: 8, Page: 073-073
2009
- 26Citations
- 11Captures
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Article Description
We analyze SU(2) invariant half-BPS states of the 3d, = 8 or = 6 SCFT within the radial quantization of the ABJM theory [1], the theory proposed to describe N M2-branes in the R × /Z background. After studying the classical moduli space of these configurations, we explicitly construct a set of gauge invariant operators involving 't Hooft monopole operators corresponding to these states. We show there is a one-to-one correspondence between the two sets carrying R-charge J and that they are labeled by Young tableaux of J boxes with a maximum of N rows. Restricting the full path integral to this half-BPS sector of the theory, we show the latter is described in terms of N fermions in a 2d harmonic potential in the sector of vanishing angular momentum. The same classification, though in the N limit, arise from the plane-wave (BMN) Matrix theory as well as the 11 dimensional LLM bubbling geometries [2], providing supportive evidence for the ABJM theory and/or the Matrix model. © SISSA 2009.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=70350037527&origin=inward; http://dx.doi.org/10.1088/1126-6708/2009/08/073; http://stacks.iop.org/1126-6708/2009/i=08/a=073?key=crossref.c597adfe871842eefcab5b7dc38b420e; https://dx.doi.org/10.1088/1126-6708/2009/08/073; https://validate.perfdrive.com/fb803c746e9148689b3984a31fccd902/?ssa=f52600f9-ee3c-443e-bebe-8730559d19df&ssb=05332296733&ssc=https%3A%2F%2Fiopscience.iop.org%2Farticle%2F10.1088%2F1126-6708%2F2009%2F08%2F073&ssi=559c117e-8427-4df2-ac75-7dc8dd661d3b&ssk=support@shieldsquare.com&ssm=61613790590404152336106142401907698&ssn=b093016dbdb4110399bb2ed6150a1a89275317f9ea44-4e1f-4e35-b2455c&sso=2d2b115e-f9d9f87a371f2b120efe13c5303daa8f380253e9ea4363d1&ssp=04148792631719327226171954753303211&ssq=47691617256587991652805699598433828505899&ssr=NTIuMy4yMTcuMjU0&sst=com.plumanalytics&ssu=&ssv=&ssw=&ssx=eyJfX3V6bWYiOiI3ZjYwMDBjMGI2MzM1NC00OGRkLTRjNTUtODVmZS00NzZmMjgxYzE5ZDgxNzE5MzA1Njk5NDA1MjY2ODY1ODg2LTNiOTkyODIwNTcyM2IzYWMzMzYwNyIsInJkIjoiaW9wLm9yZyIsInV6bXgiOiI3ZjkwMDAxZTFhNWQwZC1iNGU2LTRlNDQtYWZhOC03NTExMWZmODRkOWY0LTE3MTkzMDU2OTk0MDUyNjY4NjU4ODYtMWIwMDgyYTkwOWEyNTdlZTMzNjA3In0=
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