REVIEW 17 cited by
Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We present a trace formula for a Witten type Index for superconformal field theories in d=3,5 and 6 dimensions, generalizing a similar recent construction in d=4. We perform a detailed study of the decomposition of long representations into sums of short representations at the unitarity bound to demonstrate that our trace formula yields the most general index (i.e. quantity that is guaranteed to be protected by superconformal symmetry alone) for the corresponding superalgebras. Using the dual gravitational description, we compute our index for the theory on the world volume of N M2 and M5 branes in the large N limit. We also compute our index for recently constructed Chern Simons theories in three dimensions in the large N limit, and find that, in certain cases, this index undergoes a large N phase transition as a function of chemical potentials.
Forward citations
Cited by 17 Pith papers
-
Cardy limit of the 3d superconformal index
In the Cardy limit the 3d superconformal index obeys Z ~ beta^{-#} on the first sheet and Z ~ e^{#/beta} on the second, with gauge-enhancing saddles screened for non-chiral theories.
-
Superconformal indices and black hole saddles
At large Im tau the superconformal index tends to 1, and the authors show that a Picard-Lefschetz analysis of a Lorentzian-inspired bulk integral enforces this by making all exponentially large black hole saddles irre...
-
Constants in Sequences of M2-brane Partition Functions
The N-independent constants of the ABJM and ADHM Bethe potentials and of the ABJM twisted index are expressed as finite combinations of the constant map function A.
-
Exact Modular Completion of the ABJM Effective Twisted Superpotential
The paper reports closed-form and apparently exact formulas, involving Eisenstein series and Eichler integrals, for the nonperturbative completion of the ABJM twisted superpotential at levels 1, 2, and 4.
-
Generalised global symmetries in 5d $\mathcal{N}=1$ theories from the blow-up equations
Fractional exponents of the blow-up prefactor exp(-V_n) on 1-form backgrounds encode cubic and mixed anomalies of 5d N=1 SCFTs, deciding 2-groups versus mixed anomalies once the faithful UV symmetry is known from the index.
-
Algorithmic Dualization of Unitary Circular Quivers
Develops an algorithmic construction of the full SL(2,Z) duality web for unitary circular quivers in 3d N=4 theories using QFT blocks, deriving mirror symmetry for good cases and providing index-matching evidence for ...
-
Orthosymplectic Chern-Simons Matter Theories: Global Forms, Dualities, and Vacua
A magnetic quiver framework is introduced to extract maximal branches and global forms of 3d orthosymplectic Chern-Simons matter theories from brane configurations, with global data fixed via indices and Hilbert series.
-
Schur Connections: Chord Counting, Line Operators, and Indices
The Schur half-index of pure 4d N=2 SU(N) SYM with Wilson line insertions equals a q-oscillator vacuum expectation value, shown to be the partition function of the relativistic open Toda chain.
-
Reflection groups and 3d $\mathcal{N}\ge $ 6 SCFTs
All known 3d N=8 and N=6 SCFT moduli spaces are quotients by reflection groups, predicting two new N=8 theories and proving the equivalence of two ABJM theories.
-
Towards OSV in AdS
Derives Z_{S^1×S^2} ∼ |Z_{S^3_b}|^2 for 3d N=2 SCFTs and links it holographically to supersymmetric AdS4 black hole partition functions, akin to OSV.
-
Supersymmetric zeta functions and determinants
Residues and special values of supersymmetric zeta functions (built from single-particle indices) are conjectured to reproduce anomaly coefficients, Casimir energies, and central charges across 2d/4d/6d.
-
Kac-Moody algebras from M5-giants
The single-sum giant graviton expansion of ADHM Higgs indices is proposed to encode, in two fugacity limits, the vacuum characters of the affine Kac-Moody algebras \ hat su(l)_1^{\ times m} and \ hat su(l)_m.
-
Ensembles in M-theory and Holography
The M2-brane partition function should be viewed as a grand canonical object in AdS4/ABJM holography, fixing the three-form source rather than the flux number N, which resolves puzzles about Airy shifts and one-loop e...
-
Hilbert Series and Superconformal Indices of the Improved Bifundamentals
The vacuum moduli spaces of the improved bifundamental SCFTs are claimed to be single-branch irreducible varieties, with Hilbert series extracted from superconformal index limits.
-
Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs
High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and assoc...
-
Superconformal Blocks for Mixed 1/2-BPS Correlators with $SU(2)$ R-symmetry
Explicit superconformal blocks for mixed half-BPS correlators with SU(2) R-symmetry are computed for all contributing multiplets in a dimension-independent way.
-
Quantum vortices, M2-branes and black holes
The Cardy-limit index for M2-brane theories gives a large-N free energy scaling as N^(3/2) that, after a Legendre transform, matches the entropy of BPS black holes in AdS4 x S7.
Discussion (0). Continue with ORCID to comment.