**Topics, Y**

**Yamabe Flow** > see ADM mass.

**Yamabe Invariant**

@ __References__: Botvinnik & Rosenberg JDG(02)
[non-simply-connected manifolds]; Avila & Dain CQG(08)
[axisymmetric initial data of two Kerr black holes].

**Yamabe Question**

@ __Solution__: Schoen JDG(84).

**Yang-Baxter Equation** > s.a. integrable
systems; lie algebras.

* __Idea__: A relationship between elementary braids in the braid group with *n* strands.

* __Remark__: The solutions
of the YB equation "at roots of unity" are related to algebraic
curves of genus *g* > 1; They are also known to be connected with the "chiral
Potts model".

@ __General references__: Korepanov in(86)nl/00;
Jimbo IJMPA(89)
[intro]; Babelon & Viallet pr(89); Perk & Au-Yang en(06)mp [rev]; Nichita a1506 [computational methods and applications].

@ __Generalizations__: Ambjørn et al NPB(06) [3D, Zamolodchikov's tetrahedron equations,
simplified].

> __Online resources__:
see John Baez page; Wikipedia page.

**Yang-Lee Theory** > see under Lee-Yang Theorem / Theory.

**Yang-Mills Algebra**

@ __References__: Herscovich & Solotar AM(11) [representations].

**Yano Tensor**

@ __References__: Cariglia CQG(04)ht/03 [and
Dirac equation in curved spacetime].

**Yarkovsky Effect** > s.a. Asteroids.

* __Idea__: A non-gravitational
force acting on celestial bodies, e.g., asteroids, from recoil
due to re-emission of heat absorbed from the Sun.

@ __References__: Lorenz & Spitale Icarus(04)
[as heat engine]; news BBC(07)mar,
pw(07)mar [observation];
De Vos & Kaplar AJP(10)jun [influence on the energy balance
and surface temperature]; Vokrouhlický et al a1502-ch [and its rotational variant, the YORP effect].

**Yilmaz Theory**

* __Idea__: An alternative,
4D, curved spacetime theory of gravity, in which the Ricci curvature is defined
in terms of a massless Klein-Gordon scalar field on an initially flat spacetime,
and satisfies the Einstein equation with the usual scalar field stress-energy
tensor; It predicts the existence of *N*-body interacting solutions without event horizons.

@ __General references__: Yilmaz PR(58),
comment Hoffmann JMM(60); Misner NCB(99)gq/95;
Alley & Yilmaz NCB(99)gq/95;
Wyss NCB(99); Alley et al ap/99/ApJL;
Ibison CQG(06)-a0705 [FLRW models].

@ __Exponential metric__:
Martinis & Perković a1009/FP [and Newtonian gravity].

**York Time** > see time in gravity.

**Young Tableaux** > s.a. group representations.

* __Idea__: A diagrammatic way of describing representations of finite and compact Lie groups.

* __Examples__: For SU(*n*), denoting the fundamental representation
by a box \(\square\) and the conjugate one by a column of *n*–1 boxes, we get:

* __Dimension__: The dimension
of such a representation can be calculated as follows: ...

@ __References__: Hamermesh 63;
Fulton 96 [applications to representation theory and geometry].

> __Online resources__:
see Wikipedia page.

**Young's Double
Slit Experiment** > see experiments
in physics; Interference.

**Yukawa Potential** > s.a. renormalization [Yukawa theories with fermions].

* __Idea__: An exponential
potential *U*(*r*) = exp(–*r*/*λ*)/*r*,
introduced by Yukawa to describe a meson-mediated interaction, where the length
scale *λ* is related to the mass of the particle.

@ __References__: Gönül et al PS(06)
[quantum, eigenvalues and eigenfunctions]; Haque & Joglekar a1004 [1+1, causality]; > s.a. chaotic
systems.

> __And gravity__: see modified newtonian gravity and
tests.

> __Online resources__:
see Wikipedia page.

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send feedback and suggestions to bombelli at olemiss.edu – modified
18 jan 2016