Exact results on maximally supersymmetric conformal field theories in three dimensions / Nathan Benjamin Agmon.

Author
Agmon, Nathan Benjamin [Browse]
Format
Book, Senior thesis
Language
English
Published/​Created
Princeton, NJ : Princeton University, Department of Physics, 2017.
Description
viii, 105 leaves ; 29 cm

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    Summary note
    "In this thesis, we present exact results on N = 8 superconformal field theories (SCFTs) in three dimensions. In the first part, we extend previous work by beginning the setup for the N = 8 superconformal bootstrap in three dimensions. In particular, we express the four-point functions of superconformal primaries in the (8,B,+)[0020] and (8,B,+)[0040] multiplets as a sum of SO(8) harmonics multiplied by conformal blocks. Using the associativity of the operator algebra, as well as the Ward identities, we determine the maximal set of independent crossing equations relating the conformal blocks. In the second part of this work, we use the results of recent work on supersymmetric localization to obtain exact analytic expressions for the OPE coefficients of certain low-lying 1/2 - BPS and 1/4 - BPS operators in the U(N)₁ X U(N)₋₁ ABJM theories (N = 2,3) and for the SU(2)₃ X SU(2)₋₃ BLG theory. We also find that the partition function values, the normalized four-point functions, and the OPE coefficients all match for the interacting sector of the U(3)₁ X U(3)₋₁ ABJM theory and for the SU(2)₃ X SU(2)₋₃ BLG theory. We therefore conjecture a previously unknown duality between the two theories."
    Notes
    Advisors: Silviu Pufu, Herman Verlinde.
    Dissertation note
    Thesis (Senior)-Princeton University, 2017.
    Bibliographic references
    Includes bibliographic references (leaves 92-98).
    Other format(s)
    Also available in an electronic version.
    OCLC
    1340384687
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