Scientists / Open questions

爱德华·威滕

Edward Witten

弦理论、量子场论、数学物理

1990 年菲尔兹奖

83 个问题

Projectively unitary Hermitian structure for the Axelrod-Della Pietra-Witten/Hitchin connection on nonabelian theta functions over Teichmüller space: general compact simple gauge groups and the exact unitary density $U$
Rigorous, anomaly-controlled holomorphic factorization of WZW and coset model partition functions
The wrapped-D4-brane holographic dual of large-N pure Yang–Mills: flow to pure Yang–Mills, asymptotic freedom at small η, and the η-dependence of observables
Boundary behavior of the PCO/vertical-integration construction of superstring amplitudes: sufficient PCO placement conditions at worldsheet degenerations
Dynamical stability of the baryon vertex in AdS5 × RP5: decay energetics across discrete-torsion sectors and the odd-N Clifford-algebra ambiguity of fivebrane-threebrane intersections
Completing the gauge-theory derivation of integrable vertex models and quantum groups: spectral parameter, non-abelian spectral parameters, physical level, intrinsic quantum groups, and convergence of the large-U limits (Witten, 1990)
Massive spin-0 from the rank-2 antisymmetric tensor with constraint-type auxiliary fields, and gravitational coupling of higher-component tensor representations: the Deser-Witten (1981) open questions
Moduli stabilization and the volume runaway in M-theory compactifications on compact G2-holonomy manifolds with G-flux
Constructing $1+1$ -dimensional chiral fermion models in which the massless would-be Goldstone mode $\theta$ fails to decouple from the $S$ -matrix
Open problems of Witten's four-dimensional topological gravity: gravitational Donaldson-type invariants, BRST parentage, and the emergence of dynamical gravity
Explicit two-instanton and instanton–anti-instanton derivation of the $O(\mathrm{e}^{-2S_0})$ effective action of the supersymmetric (2+1)-dimensional Georgi–Glashow model

返回科研问题

Projectively unitary Hermitian structure for the Axelrod-Della Pietra-Witten/Hitchin connection on nonabelian theta functions over Teichmüller space: general compact simple gauge groups and the exact unitary density UUU

Rigorous, anomaly-controlled holomorphic factorization of WZW and coset model partition functions

The wrapped-D4-brane holographic dual of large-N pure Yang–Mills: flow to pure Yang–Mills, asymptotic freedom at small η, and the η-dependence of observables

Boundary behavior of the PCO/vertical-integration construction of superstring amplitudes: sufficient PCO placement conditions at worldsheet degenerations

Dynamical stability of the baryon vertex in AdS5 × RP5: decay energetics across discrete-torsion sectors and the odd-N Clifford-algebra ambiguity of fivebrane-threebrane intersections

Completing the gauge-theory derivation of integrable vertex models and quantum groups: spectral parameter, non-abelian spectral parameters, physical level, intrinsic quantum groups, and convergence of the large-U limits (Witten, 1990)

Massive spin-0 from the rank-2 antisymmetric tensor with constraint-type auxiliary fields, and gravitational coupling of higher-component tensor representations: the Deser-Witten (1981) open questions

Moduli stabilization and the volume runaway in M-theory compactifications on compact G2-holonomy manifolds with G-flux

Constructing 1+11+11+1-dimensional chiral fermion models in which the massless would-be Goldstone mode θ\thetaθ fails to decouple from the SSS-matrix

Open problems of Witten's four-dimensional topological gravity: gravitational Donaldson-type invariants, BRST parentage, and the emergence of dynamical gravity

Explicit two-instanton and instanton–anti-instanton derivation of the O(e−2S0)O(\mathrm{e}^{-2S_0})O(e−2S0​) effective action of the supersymmetric (2+1)-dimensional Georgi–Glashow model

Projectively unitary Hermitian structure for the Axelrod-Della Pietra-Witten/Hitchin connection on nonabelian theta functions over Teichmüller space: general compact simple gauge groups and the exact unitary density $U$

Constructing $1+1$ -dimensional chiral fermion models in which the massless would-be Goldstone mode $\theta$ fails to decouple from the $S$ -matrix

Explicit two-instanton and instanton–anti-instanton derivation of the $O(\mathrm{e}^{-2S_0})$ effective action of the supersymmetric (2+1)-dimensional Georgi–Glashow model