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Definitions

from Wiktionary, Creative Commons Attribution/Share-Alike License

  • n. A two-dimensional manifold which describes the embedding of a string in spacetime, a direct generalization of the worldline of a particle in special and general relativity.

Etymologies

world +‎ sheet (Wiktionary)

Examples

  • The mechanism is completely different from the usual string paradigm: spacetime is not introduced ab initio as a target, but emerges as the space of degree 1 worldsheet instantons in the twistor space target.

    Are Changes Brewing and How Does the Mind Fit In?

  • The fact that it is consistent, in not really a big point in its favor, because all the consistency is really coming from the two dimensional conformal field theory of the worldsheet.

    String Theory is Losing the Public Debate

  • Afterwards it was discovered that the existence of fermions (something we see every day) required that the string worldsheet have supersymmetry.

    String Theory is Losing the Public Debate

  • Any possibility that the worldsheet bosons and fermions of string theory are related to the spin networks of LQG?

    String Theory is Losing the Public Debate

  • For example, in the bosonic string there are 26 bosonic fields which ‘live’ on the string worldsheet which are interpreted as dimensions.

    String Theory is Losing the Public Debate

  • As strings move through time, they trace out a worldsheet similar to the worldlines of point theory.

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  • Simple bosonic strings can be described by a field theory defined on the string worldsheet where the action is dependent upon the metric h_ {mn} on the worldsheet, the 2-curvature R_ {2} of the worldsheet, and a dilaton \phi (a scalar field on the worldsheet).

    Two cheers for string theory

  • If we demand that the worldsheet field theory is conformally invariant (scale invariant), then the so-called beta functions must vanish (this is necessary for us to gauge-fix the metric to the conformal gauge).

    Two cheers for string theory

  • If the background is curved, then it has a metric which enters the field theory on the worldsheet as a set of couplings between the string coordinates.

    Two cheers for string theory

  • Why do you demand that the worldsheet field theory is conformally invariant on the quantum level?

    Two cheers for string theory

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