Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJun 11th 2023

    this is a page containing a single section, meant to be !included as a section of AdC/CFT duality, AdS/QCD duality, open/closed string duality and, last not least, of a stand-alone entry Polyakov gauge-string duality which I’ll create in a moment.

    (Notice that in its references-anchors this page here assumes that also the page Polyakov gauge-string duality – references has been !included.)

    The intent of this section is to bring out some of ideas of one of the “founding fathers” of string theory which one can easily image would be much more famous were it not for quirks of scientific history.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 11th 2023

    Where I developed the text in this page in the Sandbox it has another opening. It is probably wise not to include this in the nLab entry, but I’ll drop it here:

    — alternative lead-in —

    The biggest threat to a good idea are often its proponents, or those who vocally appear to be.

    String theory originated in the 1960s as a conceptual strategy for understanding experimental observations about strongly-interacting fundamental particles, notably the confinement of “quarks” inside hadrons and the “Regge trajectories” seen in hadron scattering. These are experimental phenomena exhibited by fairly ordinary matter (all atomic nuclei are bound states of hadrons), and yet (despite frequent advertisement of the success of the standard model of particle physics) understanding them properly remains an open problem to this day, to the extent that one speaks of a “Millennium Problem”.

    However, 5 decades of intellectual twists and sociological turns later, mainstream string theorists as a swarm community largely forgot about the glaring question why quarks are never seen in isolation and somehow ended up, in the 2000s, instead convincing themselves and the public that string theory’s prime contribution to physics is to suggest the imminent detection of “squarks” at the LHC-experiment commencing in 2010. The failure of this alleged prediction to materialize is increasingly leading to the sensation of a failure of “string theory”.

    In reality, this should be a chance to go back to the roots and re-assess string theory as a candidate for the elusive theory of strongly-interacting matter systems, both in high energy physics — concerning quantum hadrodynamics in QCD — as well as in solid-state physics — notably concerning topologically ordered quantum materials —, both reflected in a “mass gap” and both related to quantum gravity via holography in the original sense of Alexander Polyakov’s gauge/string duality.

    This is the role of string theory that Alexander Polyakov originally envisioned (following observations notably by Leonard Susskind and Kenneth Wilson) under the name gauge-string duality, long before the community came back full circle to this idea with what is now known as AdS/CFT duality and holographic QCD (see further comments below).

    The logic here proceeds in the following steps…

    — end of alternative lead-in —