Deconstructing graviphoton from mass-deformed ABJM

Abstract

Mass-deformed ABJM theory has a maximally supersymmetric fuzzy two-sphere vacuum solution where the scalar fields are proportional to the TGRVV matrices. We construct these matrices using Schwinger oscillators. This shows that the ABJM gauge group that corresponds to the fuzzy two-sphere geometry is $U(N)\times U(N-1)$. We deconstruct the graviphoton term in the D4 brane theory. The normalization of this term is fixed by topological reasons. This gives us the correct normalization of the deconstructed U(1) gauge field and fixes the Yang -Mills coupling constant to the value which corresponds to M5 brane compactified on $\mb{R}^ {1,2} \times S^3/{\mb{Z}_k}$. The graviphoton term also enable us to show that the zero mode contributions to the partition functions for the D4 and the M5 brane agree.

26 pages

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Cited by in corpus (9)

• M5/D4 brane partition function on a circle bundle
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• Application of Quantum Field Theory
• One dyonic instanton in 5d maximal SYM theory
• M-Theory on Complex Spacetime
• Scalar Field Theory on Supermanifolds
• Gauge Theories on de Sitter Spacetime
• Quantum Field Theory in de Sitter spacetime