Corpus evidence — top 10 passages

Most-relevant passages from the entire indexed corpus (67,286 paragraph chunks across YouTube transcripts, PubMed, arXiv, archive.org, Stanford Encyclopedia of Philosophy, OpenAlex, and more) ranked by semantic similarity (bge-small-en-v1.5).

1. 01 · pubmed0.754

   We conjecture that the leading two-derivative tree-level amplitudes for gluons and gravitons can be derived from gauge invariance together with mild assumptions on their singularity structure. Assuming locality (that the singularities are associated with the poles of cubic graphs), we prove that gauge invariance in just n-1 particles together with minimal power counting uniquely fixes the amplitude. Unitarity in the form of factorization then follows from locality and gauge invariance. We also give evidence for a stronger conjecture: assuming only that singularities occur when the sum of a sub…

   pubmed/PMID-29932696-locality-and-unitarity-of-scattering-amplitudes-from-singula/info.md

2. 02 · pubmed0.742

   It is well known that a local, unitary Poincaré-invariant 2D quantum field theory with a global scaling symmetry and a discrete non-negative spectrum of scaling dimensions necessarily has both a left and a right local conformal symmetry. In this Letter, we consider a chiral situation beginning with only a left global scaling symmetry and do not assume Lorentz invariance. We find that a left conformal symmetry is still implied, while right translations are enhanced either to a right conformal symmetry or a left U(1) Kac-Moody symmetry.

   pubmed/PMID-22107375-chiral-scale-and-conformal-invariance-in-2d-quantum-field-th/info.md

3. 03 · yt0.742

   And that's the next thorny issue. How  do you deal with subsystems in quantum mechanics   and so on? And we now believe to have cracked at  least two of the three most prominent problems. How does this work? What is actually flowing  there? How do you actually get this onto the   street formally? And also, how do you deal  with composed systems? Because quantum systems   famously compose by tensor products. So the  Hilbert space of a composite system is the   tensor product of the Hilbert spaces of what we  think are the con…

   yt/Bnh-UNrxYZg-frederic-schuller-the-physicist-who-derived-gravity-from-ele/transcript.txt

4. 04 · openalex-fanout0.742

   - (1998) **Anti de Sitter space and holography** — Edward Witten — cited 13269x - (2008) **Non-Abelian anyons and topological quantum computation** — Chetan Nayak, Steven H. Simon — cited 6868x - (2000) **Large N field theories, string theory and gravity** — Ofer Aharony, Steven S. Gubser — cited 5566x - (2006) **Anyons in an exactly solved model and beyond** — Alexei Kitaev — cited 5288x - (2000) **Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quan** — N. Read, Dmitry Green — cited 3492x - (2008) **Classification of topolog…

   openalex-fanout/W2007185418-quantum-field-theory-and-the-jones-polynomial/info.md

5. 05 · pubmed0.741

   A key obstruction to the twistor programme has been its so-called 'googly problem', unresolved for nearly 40 years, which asks for a twistor description of right-handed interacting massless fields (positive helicity), using the same twistor conventions that give rise to left-handed fields (negative helicity) in the standard 'nonlinear graviton' and Ward constructions. An explicit proposal for resolving this obstruction--palatial twistor theory--is put forward (illustrated in the case of gravitation). This incorporates the concept of a non-commutative holomorphic quantized twistor 'Heisenberg a…

   pubmed/PMID-26124255-palatial-twistor-theory-and-the-twistor-googly-problem/info.md

6. 06 · openalex0.740

   The Role of Goldstone Bosons** (1969) — cited 166x · https://doi.org/10.1103/physrev.184.1750 - **Change of variables and equivalence theorems in quantum field theories** (1961) — cited 164x · https://doi.org/10.1016/0029-5582(61)91075-6 - **Overlapping Divergences and the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:** (1951) — cited 162x · https://doi.org/10.1103/physrev.82.217 - **Unitary representations of super-gauge symmetries** (1974) — cited 160x · https://doi.org/10.1016/0550-3213(74)90500-8

   openalex/A5101859682/info.md

7. 07 · yt0.738

   Oh, I was saying, okay, so in the principal&nbsp;&nbsp; polynomial, I can imagine that there's a lot&nbsp; of theoretical considerations. I can imagine&nbsp;&nbsp; how you can get symmetry or anti-symmetry&nbsp; conditions. I can imagine how you can get&nbsp;&nbsp; signature. I can imagine how you get that it is&nbsp; non-degenerate or that is degenerate. But I don't&nbsp;&nbsp; see how you get compatibility with connection&nbsp; as a condition of the principal polynomial. But there's no connection at all. So, okay, what&nbsp; we call signature in the metric, if I look at it&nbsp;&nbsp; from t…

   yt/Bnh-UNrxYZg-frederic-schuller-the-physicist-who-derived-gravity-from-ele/transcript.txt

8. 08 · _intake0.737

   > thing. And it really is spin six cross spin four because GU, and I don't know that you've, you and I have even had this discussion is a machine that could also accept a one 11 spacetime or a one 15, any multiple of four dimensions with one of them taken as time results in a GU. Why would a one 11 work? Sorry, did I say one 11? I meant. Seven 11. Seven 11. I meant one seven. No, no, I'm messing you up now. One 11. Yeah. No, why? Because it has to add up to. Well, 12 is a multiple of four.

   _intake/claims-allbranch/curated-low/relativity/003-thing.md

9. 09 · openalex-fanout0.736

   (1998) Anti de Sitter space and holography — cited 13269x (2008) Non-Abelian anyons and topological quantum computation — cited 6868x (2000) Large N field theories, string theory and gravity — cited 5566x (2006) Anyons in an exactly solved model and beyond — cited 5288x (2000) Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effect — cited 3492x (2008) Classification of topological insulators and superconductors in three spatial dimensions — cited 3342x (1991) Nonabelions in the fractional quantum hall effect — cit…

   openalex-fanout/W2007185418-quantum-field-theory-and-the-jones-polynomial/info.md

10. 10 · pubmed0.736

    Motivated by the problem of identifying Majorana mode operators at junctions, we analyze a basic algebraic structure leading to a doubled spectrum. For general (nonlinear) interactions the emergent mode creation operator is highly nonlinear in the original effective mode operators, and therefore also in the underlying electron creation and destruction operators. This phenomenon could open up new possibilities for controlled dynamical manipulation of the modes. We briefly compare and contrast related issues in the Pfaffian quantum Hall state.

    pubmed/PMID-24329461-algebra-of-majorana-doubling/info.md