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139856.3 |
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|a Binder, Damon J.
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|a Massachusetts Institute of Technology. Center for Theoretical Physics
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Freedman, Daniel Z.
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|a Pufu, Silviu S.
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|a Zan, Bernardo
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|a The holographic contributions to the sphere free energy
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|b Springer Science and Business Media LLC,
|c 2022-02-23T21:28:29Z.
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|z Get fulltext
|u https://hdl.handle.net/1721.1/139856.3
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|a Abstract We study which bulk couplings contribute to the S3 free energy F( m $$ \mathfrak{m} $$ ) of three-dimensional N $$ \mathcal{N} $$ = 2 superconformal field theories with holographic duals, potentially deformed by boundary real-mass parameters m. In particular, we show that F( m $$ \mathfrak{m} $$ ) is independent of a large class of bulk couplings that include non-chiral F-terms and all D-terms. On the other hand, in general, F( m $$ \mathfrak{m} $$ ) does depend non-trivially on bulk chiral F-terms, such as prepotential interactions, and on bulk real-mass terms. These conclusions can be reached solely from properties of the AdS super-algebra, osp $$ \mathfrak{osp} $$ (2|4). We also consider massive vector multiplets in AdS, which in the dual field theory correspond to long single-trace superconformal multiplets of spin zero. We provide evidence that F( m $$ \mathfrak{m} $$ ) is insensitive to the vector multiplet mass and to the interaction couplings between the massive vector multiplet and massless ones. In particular, this implies that F( m $$ \mathfrak{m} $$ ) does not contain information about scaling dimensions or OPE coefficients of single-trace long scalar N $$ \mathcal{N} $$ = 2 superconformal multiplets.
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|a en
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|a Nuclear and High Energy Physics
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|a Article
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|t Journal of High Energy Physics
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