83 problems

Maldacena's holographic duality conjecture for the $A_{N-1}$ $(2,0)$ theory
arXiv@arxiv
Let the $A_{N-1}$ $(2,0)$ superconformal field theory be the six-dimensional theory labelled by the simply laced Lie algebra $A_{N-1}$ , and let $N$ denote the number of units of 4-…
Conjectureopenholography m-theory superconformal-field-theory
1
Klebanov–Polyakov higher-spin/vector-model duality conjecture
arXiv@arxiv
Higher-spin theories on twistor space are built from vector bundles and their associated curvature forms; their one-loop anomaly is governed by the index…
Conjectureopenads-cft higher-spin-theory holography
0
Holographic screen conjecture for general spacetimes
arXiv@arxiv
Holographic screen conjecture. The holographic screen should be the appropriate analogue of the AdS boundary for a holographic description of general spacetimes.
Conjectureopengeneral-relativity holography spacetime-geometry
0
The ’t Hooft–Susskind holographic conjecture
arXiv@arxiv
The proposed quantum theory $X$ is defined purely algebraically, without background geometry, and has classical limit $3+1$ general relativity coupled to certain matter fields. The…
Conjectureopenholography mathematical-physics quantum-gravity
0
Austin–Braam holography conjecture for hyperbolic monopoles
arXiv@arxiv
Austin–Braam holography conjecture. The holographic image of the monopole on the conformal boundary two-sphere determines the monopole on hyperbolic space.
Conjectureopenholography hyperbolic-geometry monopoles
0
Holographic reduction conjecture for double cone algebras
arXiv@arxiv
Let $4\mathcal{A}(\mathcal{O})4$ be a double cone algebra, and let $4O^{(2)}4$ be the two-dimensional double cone obtained by cutting $4\mathcal{O}4$ with a two-dimensional plane c…
Conjectureopenalgebraic-quantum-field-theory conformal-field-theory holography
0
Universality conjecture for split localization entropy on a halfline
arXiv@arxiv
The transverse symmetry and absence of correlations reduce the area-density problem to a chiral theory on a lightray, which is mapped by a Cayley transform to a chiral theory on th…
Conjectureopenentropy holography quantum-field-theory
0
The geometric modular action conjecture for holographic lightcone projections
arXiv@arxiv
Consider a massive quantum field theory and its holographic projection onto the lightcone horizon. Write the lightcone coordinates as $x_{+}=x^{0}+\left|\vec{x}\right|$ and…
Conjectureopenalgebraic-quantum-field-theory holography modular-theory
0
The holographic principle for quantum field theories
arXiv@arxiv
A quantum field theory in $d$ -dimensional spacetime may, for suitable geometric configurations, have its degrees of freedom and most of its properties encoded in a suitably chosen…
Conjectureopenholography lightfront-physics quantum-field-theory
0
Modular-group conjecture on wedge-localized polarization clouds
arXiv@arxiv
Let $(\mathcal{A}(\mathcal{O}),\Phi)$ be a standard Reeh–Schlieder pair, with modular groups $\sigma_t$ , and let PFGs be polarization-free generators localized in wedges. Applying…
Conjectureopenholography modular-localization quantum-field-theory
1
The minimal multiway-cut formula for multi-entropy in random tensor network states
arXiv@arxiv
Minimal multiway-cut conjecture. The multi-entropy in RTN states is given by the area of minimal multiway cuts.
Conjectureopenholography quantum-information random-tensor-networks
0
The open-closed holography partition-function conjecture
arXiv@arxiv
Let $\mathcal{P}_{\mathcal{C},\lambda,h,s}=\{\mathcal{C},\lambda,h,s\}$ be a holography package consisting of a smooth cyclic $A_\infty$ -category $\mathcal{C}$ , an object…
Conjectureopenholography open-closed-string-theory string-field-theory
1
The backreacted Calabi–Yau category conjecture
arXiv@arxiv
Backreacted Calabi–Yau category conjecture. Given a holography package $\mathcal{P}_{\mathcal{C},\lambda,h,s}$ as above, there is a family of Calabi–Yau categories…
Conjectureopencalabi-yau-categories holography string-field-theory
0
Large-parameter unitarity restoration from non-prime Hecke contributions
arXiv@arxiv
Let $Z_{\mathrm{string}}$ be the string partition function with parameter $\xi$ , and let its spectral decomposition contain Eisenstein and Maass cusp-form overlaps whose Hecke indi…
Conjectureopenholography modular-forms number-theory
0
Geometric holographic complexity conjecture for evolving thermofield-double states
arXiv@arxiv
Geometric complexity conjecture. In holographic theories of gravity, the complexity of evolving TFD states should be geometrized, possibly as the volume of distinguished spacelike…
Conjectureopenblack-holes holography quantum-complexity
0
Holographic anomaly conjecture from generalized current-algebra cocycles
arXiv@arxiv
Let $\mathcal{M}$ be a bulk internal manifold, let $\mathfrak{g}(\mathcal{M})$ be its generalized Kac–Moody current algebra, and let its cohomological 2-cocycles be computed from b…
Conjectureopenanomalies central-extensions holography
0
Holographic generalized-current conjecture for compact internal manifolds
arXiv@arxiv
Let the bulk contain an internal compact manifold $\mathcal{M}$ with a specified isometry algebra, and let $\mathfrak{g}(\mathcal{M})$ be the associated generalized Kac–Moody curre…
Conjectureopenads-cft holography kac-moody-algebras
0
The Chern–Simons vector model holography conjecture for Vasiliev's parity-violating higher-spin theory
arXiv@arxiv
Consider the large- $N$ Chern–Simons gauge theory with fundamental fermions and its dual $SU(N_b)$ critical bosonic theory, in the limits and fixed ’t Hooft couplings described abov…
Conjectureopenchern-simons-matter higher-spin-theory holography
0
The type III factor conjecture above the Hawking–Page transition
arXiv@arxiv
Let $\mathcal{M}_{R}$ and $\mathcal{M}_{L}$ be the von Neumann algebras associated with the right and left asymptotic boundaries, respectively, and let $\beta_{HP}$ denote the inve…
Conjectureopenholography operator-algebras von-neumann-algebras
0
The high-temperature thermofield-double conjecture for the eternal AdS–Schwarzschild black hole
arXiv@arxiv
Consider the Gibbs state $\rho_{\beta}=\frac{1}{\operatorname{Tr}e^{-\beta H}}e^{-\beta H}$ and its thermofield-double purification $\omega_{TFD}$ in the GNS representation of the…
Conjectureopenads-cft black-holes holography
1
The low-temperature thermofield-double conjecture for two disconnected thermal AdS spacetimes
arXiv@arxiv
Consider the large- $N$ algebra $\mathcal{A}_{\beta}$ generated by single-trace operators in $\mathcal{N}=4$ SYM at temperature $1/\beta$ . Let…
Conjectureopenads-cft holography von-neumann-algebras
1
Local holographic correspondence between strings and excited CFT states
arXiv@arxiv
Let an asymptotically AdS geometry be a gravitational background, and consider string segments propagating in it together with excited states of the dual conformal field theory. Lo…
Conjectureopenads-cft holography string-theory
0
The holographic boundary-encoding conjecture for gravitational theories
arXiv@arxiv
In the AdS/CFT setting, an asymptotic boundary is the lower-dimensional boundary on which a conformal field theory lives, while the bulk is an $(n+1)$ -dimensional spacetime describ…
Conjectureopenconformal-field-theory holography string-theory
0
The code-CFT holography conjecture for $SU(2)_1^n$ Chern–Simons theory
arXiv@arxiv
Let $\mathcal C$ range over the relevant doubly-even self-dual codes, and let the corresponding code CFTs be defined by their enumerator-polynomial partition functions. The associa…
Conjecturesolvedchern-simons-theory code-cfts holography
0
Agón's universal small-index Rényi entropy conjecture
arXiv@arxiv
Let $\rho_A$ be the reduced density matrix of a region $A$ , let $S_n(A)=\frac{1}{1-n}\log\operatorname{tr}\rho_A^n$ be its Rényi entropy, and write the spectral trace as … Here $d$ …
Conjectureopenholography quantum-entanglement renyi-entropy
1