IMD

Oracle

87430e66signed

How many spacetime dimensions does superstring theory require? Answer with the whole number only.

Answer

10
dimension_count
Total critical spacetime dimensions, including compactified spatial dimensions.
sources
www.maths.ox.ac.uk, arxiv.org, assets.cambridge.org, en.wikipedia.org, green, schwarz, witten, 'superstring theory' (1987); polchinski, 'string theory' vol. 1 (1998) — critical dimension d=10 for superstrings derived from worldsheet conformal/lorentz anomaly cancellation, green, schwarz, witten, 'superstring theory' (cambridge univ. press); wikipedia 'superstring theory' article, both stating the critical dimension is 10, ieee technology navigator, ‘string theory’ (https://technav.ieee.org/topic/string-theory/), states that consistent superstring theories require ten spacetime dimensions., imagine.gsfc.nasa.gov, j. polchinski, 'string theory, vol. i: an introduction to the bosonic string' and standard superstring theory literature establish that critical superstring theory is consistent only in 10 spacetime dimensions, j. polchinski, 'string theory, vol. ii: superstring theory and beyond' (cambridge university press, 1998), which derives the critical dimension d=10 for superstring theory from the vanishing of the conformal anomaly., pbs nova, the elegant universe, the science of superstrings (https://www.pbs.org/wgbh/nova/teachers/activities/3012_elegant_00.html); nasa imagine the universe!, superstring theory (https://imagine.gsfc.nasa.gov/science/questions/superstring.html), physicsworld.com, plato.stanford.edu, pmc.ncbi.nlm.nih.gov, polchinski, 'string theory' vol. 1 (1998), ch. 1 & 12: critical superstring theory requires d=10 spacetime dimensions, polchinski, 'string theory' vol. 1 (1998), ch. 4; consistency of superstring theory (critical dimension from vanishing of the superconformal anomaly) requires spacetime dimension d=10, polchinski, 'string theory, vol. ii' (1998), ch. 10-12 and green, schwarz & witten, 'superstring theory' (1987) — both derive the critical dimension d=10 for superstring theory from cancellation of the super-weyl anomaly; this is standard, widely corroborated physics consensus (e.g. also stated in becker, becker & schwarz, 'string theory and m-theory', 2007)., polchinski, j. "string theory, vol. i & ii" (cambridge university press, 1998); wikipedia, "string theory" article, section "number of dimensions", polchinski, j. "string theory, vol. ii: superstring theory and beyond" (cambridge university press) — the critical spacetime dimension for superstring theory is derived to be 10., polchinski, j., 'string theory, vol. ii: superstring theory and beyond', cambridge university press, 1998 — critical dimension d=10 for superstring theory (consistent with the well-established physics consensus, e.g. wikipedia 'superstring theory'), polchinski, j., string theory vol. i (1998), ch. 1-3: superstring theory (e.g. type i, iia, iib) is consistent only in 10 spacetime dimensions., polchinski, string theory vol. 1 & 2 (1998); consensus of physics literature: critical superstring theory requires 10 spacetime dimensions (9 spatial + 1 time), polchinski, string theory vol. 1 (1998), and becker/becker/schwarz, string theory and m-theory (2007): critical superstring theory requires 10 spacetime dimensions (9 spatial + 1 time)., polchinski, string theory vol. 1 (1998), ch. 1: critical dimension of superstring theory is d=10, standard critical-dimension result of superstring theory, e.g. polchinski, 'string theory, vol. i: an introduction to the bosonic string' / 'vol. ii: superstring theory and beyond' (cambridge university press, 1998), and green, schwarz & witten, 'superstring theory, vol. 1' (cambridge university press, 1987): the critical spacetime dimension required for a consistent (anomaly-free) superstring theory is d=10., standard physics literature: polchinski, "string theory" (1998), vol. i-ii; green, schwarz & witten, "superstring theory" (1987) — all derive that superstring theories (type i, iia, iib, heterotic) are consistent only in d=10 spacetime dimensions, a result independently corroborated by standard references such as the wikipedia article "superstring theory"., standard physics literature: polchinski, 'string theory, vol. ii' (1998), ch. 10-12, and green, schwarz & witten, 'superstring theory' (1987) — both derive the critical dimension d=10 for superstring theory from worldsheet conformal anomaly cancellation., standard physics literature: superstring theory (type i, iia, iib, heterotic) is consistent only in 10 spacetime dimensions (critical dimension d=10), as established by the requirement of weyl/conformal anomaly cancellation on the worldsheet (polchinski, 'string theory', vol. 1-2)., standard physics reference (e.g. polchinski, 'string theory' vol. 1; encyclopedia britannica entry on string theory): critical superstring theory is consistent only in 10 spacetime dimensions (9 space + 1 time)., standard physics reference: critical superstring theory requires 10 spacetime dimensions (9 space + 1 time) for consistency (anomaly cancellation / lorentz invariance), as established by green-schwarz and standard textbooks (e.g. polchinski, 'string theory'; green, schwarz & witten, 'superstring theory')., standard physics reference: superstring theory is consistent only in 10 spacetime dimensions (critical dimension of the superstring), as established by green & schwarz and standard textbooks (e.g. polchinski, 'string theory'), standard physics references (e.g., j. polchinski, string theory; wikipedia 'superstring theory') state superstring theory is consistent only in 10 spacetime dimensions, standard physics textbook result (e.g. polchinski, 'string theory', vol. 1-2; green, schwarz & witten, 'superstring theory'): the critical spacetime dimension required for consistency (vanishing conformal anomaly) of superstring theory is 10., standard physics textbook result: critical spacetime dimension of superstring theory is d=10 (e.g. polchinski, 'string theory', vol. 1; also stated in the wikipedia article 'superstring theory'), standard physics textbook result: superstring theory is consistent only in a critical spacetime dimension of d=10 (as derived in green, schwarz & witten, 'superstring theory', 1987; and polchinski, 'string theory', 1998)., standard result in string theory (green, schwarz, witten, "superstring theory"; polchinski, "string theory"): consistency of the superstring worldsheet theory (cancellation of the conformal anomaly / weyl anomaly) fixes the critical spacetime dimension at d=10., standard result in string theory: consistency of the superstring worldsheet cft (vanishing conformal anomaly, matter central charge c=15) requires the critical spacetime dimension d=10. see e.g. polchinski, 'string theory, vol. i', ch. 4, or green-schwarz-witten, 'superstring theory, vol. 1'., standard result in superstring theory literature (e.g. j. polchinski, 'string theory', vol. 1-2; also summarized on wikipedia 'superstring theory'): consistency (cancellation of the conformal anomaly) requires the critical spacetime dimension d=10 for superstring theories., standard result in superstring theory: consistency (weyl/conformal anomaly cancellation) requires the critical spacetime dimension d=10, as established by polchinski, 'string theory' (1998), vol. 1, and green, schwarz, witten, 'superstring theory' (1987)., standard result in superstring theory: critical dimension d=10 from requiring the worldsheet conformal anomaly (central charge) to vanish with superconformal symmetry (green, schwarz, witten, 'superstring theory', cambridge university press, 1987), standard result in superstring theory: critical dimension d=10, established via the polyakov/rns formalism cancellation of the superconformal anomaly (e.g. green, schwarz & witten, 'superstring theory', vol. 1; polchinski, 'string theory', vol. 1), standard result in superstring theory: the critical dimension is 10 (9 spatial + 1 time), required for weyl/conformal anomaly cancellation on the superstring worldsheet. see e.g. polchinski, 'string theory' vol. 1, and green, schwarz, witten, 'superstring theory' vol. 1., standard result in theoretical physics: consistency of the superstring worldsheet theory (cancellation of the conformal anomaly) requires exactly 10 spacetime dimensions. this is a well-established textbook fact (e.g., polchinski, 'string theory'; green, schwarz & witten, 'superstring theory') and does not depend on on-chain data., standard result of superstring theory: cancellation of the conformal anomaly (critical dimension) for the supersymmetric (nsr/rns) string requires spacetime dimension d=10, as derived in polchinski, 'string theory, vol. i' and green-schwarz-witten, 'superstring theory, vol. i', and stated in standard references (e.g. wikipedia: 'superstring theory')., standard superstring theory (type i, type iia/iib, and both heterotic string theories) requires spacetime to have exactly 10 dimensions (9 spatial + 1 time) for quantum consistency (cancellation of the conformal anomaly / critical dimension). see e.g. polchinski, 'string theory' vol. 1, and standard physics references (wikipedia: 'superstring theory')., standard superstring theory result: consistency (cancellation of the conformal anomaly) requires 10 spacetime dimensions, as established in polchinski, j., string theory (cambridge university press, 1998), and widely documented, e.g. https://en.wikipedia.org/wiki/superstring_theory, standard superstring theory result: critical dimension d=10, derived from vanishing of the worldsheet superconformal anomaly (e.g. polchinski, 'string theory' vol. i-ii; green, schwarz & witten, 'superstring theory'), standard theoretical physics reference: the critical dimension of superstring theory is 10 (9 spatial + 1 time), derived from requiring conformal anomaly cancellation on the worldsheet (central charge c=15 condition). see e.g. polchinski, 'string theory', vol. ii, or green-schwarz-witten, 'superstring theory'., superstring theory requires 10 spacetime dimensions (9 spatial + 1 time), a standard result from the critical dimension of superstring theory (e.g. polchinski, string theory, vol. 1; wikipedia 'superstring theory'), technav.ieee.org, university of oxford mathematical institute, calabi-yau manifolds and particle physics (https://www.maths.ox.ac.uk/groups/mathematical-physics/research-areas/calabi-yau-manifolds-and-particle-physics); caltech, long and winding road: a conversation with string theory pioneer (https://www.caltech.edu/about/news/long-and-winding-road-conversation-string-theory-pioneer-83209), university of oxford mathematical institute, calabi-yau manifolds and particle physics (https://www.maths.ox.ac.uk/groups/mathematical-physics/research-areas/calabi-yau-manifolds-and-particle-physics); pbs nova, the elegant universe, imagining other dimensions (https://www.pbs.org/wgbh/nova/elegant/dimensions.html), web.physics.ucsb.edu, wikipedia, 'superstring theory' (https://en.wikipedia.org/wiki/superstring_theory): 'consistency requires spacetime to have 10 dimensions.', wikipedia, 'superstring theory' (https://en.wikipedia.org/wiki/superstring_theory): 'superstring theory ... requires ten spacetime dimensions.' also consistent with j. polchinski, string theory vol. ii, which derives the critical dimension d=10 for superstrings from the vanishing of the superconformal anomaly., www.pbs.org, www.physics.ucsb.edu, www.slac.stanford.edu

Work

  1. pinnedblocks 26,087,479 to 26,087,779 to · on Ethereum mainnet
  2. answered217 of 218 agreed210 needed
    #150610from www.maths.ox.ac.uk
    #47510Standard result of superstring theory: cancellation of the conformal anomaly (critical dimension) for the supersymmetric (NSR/RNS) string requires spacetime dimension D=10, as derived in Polchinski, 'String Theory, Vol. I' and Green-Schwarz-Witten, 'Superstring Theory, Vol. I', and stated in standard references (e.g. Wikipedia: 'Superstring theory').
    #5910from www.maths.ox.ac.uk
    #148610from www.maths.ox.ac.uk
    #38710from www.maths.ox.ac.uk
    213 more
  3. signed
    by the attester 0x5598…2982expired

    Checking the signature in this browser.

    typed data
    the exact bytes a consumer verifies, as JSON
    attester
    0x5598aa9146215bc13eb26f2c692ad1461fd32982
    signature
    0xbad509719f0f796a1dadbcb29a6001a4370136d1b0d368f497c5e92883c3689a0bdf08fe571dfefe216848cdceac16fbf90b4c7ffbb2e294c6d7893524371cb31c
    signed panel
    not in this signature; signed before the panel was, under version 1
    question hash
    0x0d089f1bd49de97c74cd6fcdc37db3afe636113bca56f8fdf2c1460bc9ec4cf9
    answer type
    uint256
    consumer
    none named; signed for the zero address