On the 2D Yang-Mills/Hurwitz Correspondence

expansion of the chiral partition function receives contributions from both classical and monotone Hurwitz theory for all but finitely many compact orientable spacetimes.

Note:

35 pages, 2 figures

gauge field theory: Yang-Mills
graph theory
partition function: chiral
dimension: 2
lattice

References(61)

Figures(2)

[1]

Weighted Hurwitz numbers and topological recursion

A. Alexandrov
(
- IBS, Gyeongsangbuk, CGP and
- Montreal U., CRM and
- Moscow, ITEP
)
,
G. Chapuy
(
- IRIF, Paris
)
,
B. Eynard
(
- Montreal U., CRM and
- IPhT, Saclay
)
,
J. Harnad
(
- Montreal U., CRM and
- Concordia U., Math. Dept.
)

- Commun.Math.Phys. 375 (2020) 1, 237-305
•
e-Print:
- 1806.09738
•
DOI:
- 10.1007/s00220-020-03717-0

[2]

Distance spectra of graphs: a survey

M. Aouchiche
,
P. Hansen

- Linear Algebra Appl. 458 (2014) 301-386

[3]

Complete Integration of U ( $N$ ) Lattice Gauge Theory in a Large $N$ Limit

- Phys.Rev.D 20 (1979) 3311
•
DOI:
- 10.1103/PhysRevD.20.3311

[4]

Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach

- J.Math.Phys. 54 (2013) 112103
•
e-Print:
- 1305.4875
•
DOI:
- 10.1063/1.4826442

[5]

The external field problem in the large N limit of QCD

E. Brezin
,
D. Gross

- Phys.Lett. 97 (1980) 120-124

[6]

Diagrammatic method of integration over the unitary group, with applications to quantum transport in mesoscopic systems

- J.Math.Phys. 37 (1996) 10, 4904
•
DOI:
- 10.1063/1.531667

[7]

Topological Recursion for Orlov–Scherbin Tau Functions, and Constellations with Internal Faces

Valentin Bonzom
(
- LIPN, Paris
)
,
Guillaume Chapuy
(
- IRIF, Paris
)
,
Séverin Charbonnier
(
- IRIF, Paris
)
,
Elba Garcia-Failde
(
- Paris U., VI-VII, Inst. Math.
)

- Commun.Math.Phys. 405 (2024) 8, 189
•
e-Print:
- 2206.14768
•
DOI:
- 10.1007/s00220-024-05048-w

[8]

Double Hurwitz numbers: polynomiality, topological recursion and intersection theory

Gaëtan Borot
(
- Bonn, Max Planck Inst., Math.
)
,
Norman Do
(
- Monash U.
)
,
Maksim Karev
(
- Steklov Math. Inst., St. Petersburg
)
,
Danilo Lewański
(
)
,
Ellena Moskovsky
(
- Monash U.
)

- Math.Ann. 387 (2023) 1-2, 179-243
•
e-Print:
- 2002.00900
•
DOI:
- 10.1007/s00208-022-02457-x

[9]

Free energy of the two-dimensional U(n) gauge field theory on the sphere

- Theor.Math.Phys. 115 (1998) 670-679,
- Teor.Mat.Fiz. 115 (1998) 389-401
•
DOI:
- 10.1007/BF02575490

[10]

Spectral properties of the exponential distance matrix, Involve 15 , 739-760

S. Butler
,
E. Cooper
,
A. Li
,
K. Lorenzen
,
Z. Schopick

[11]

Riemann Surfaces and Algebraic Curves: an Introduction to Hurwitz Theory

R. Cavalieri
,
E. Miles

[12]

The Weingarten calculus, Notices Amer. Math. Soc. 69 , 734-745

B. Collins
,
S. Matsumoto
,
J. Novak

[13]

The heat kernel as page rank

F. Chung

- Proc.Nat.Acad.Sci. 104 (2007) 19735-1940

[14]

Lectures on 2-d Yang-Mills theory, equivariant cohomology and topological field theories

- Nucl.Phys.B Proc.Suppl. 41 (1995) 184-244,
- Trieste Spring School 1994:0184-244,
- Trieste Spring School 1994:0184-244
•
e-Print:
- hep-th/9411210
•
DOI:
- 10.1016/0920-5632(95)00434-B

[15]

Large N 2-D Yang-Mills theory and topological string theory

- Commun.Math.Phys. 185 (1997) 543-619
•
e-Print:
- hep-th/9402107
•
DOI:
- 10.1007/s002200050102

[16]

Feynman rules for lattice gauge theory, Reviews of Modern Physics, Vol. 50, No. 3, July

M. Creutz

[17]

G. ’t Hooft, Nonconvergence of the 1/N expansion for SU(N) gauge fields on a lattice

B. De Wit

- Phys.Lett. 69 (1977) 61-64

[18]

Applications of Murphy’s elements, Technical Report 335 , Department of Statistics, Stanford University

P. Diaconis
,
C. Greene

[19]

Mirror symmetry and elliptic curves, The Moduli Space of Curves

R. Dijkgraaf

- Prog.Math. 129 1995

[20]

The Makeenko-Migdal equation for Yang-Mills theory on compact surfaces

Bruce K. Driver
(
- UC, San Diego
)
,
Franck Gabriel
(
- Warwick U., Math. Inst.
)
,
Brian C. Hall
(
- Notre Dame U.
)
,
Todd Kemp
(
- UC, San Diego
)

- Commun.Math.Phys. 352 (2017) 3, 967-978
•
e-Print:
- 1602.03905
•
DOI:
- 10.1007/s00220-017-2857-2

[21]

Classical Hurwitz numbers and related combinatorics

B. Dubrovin
,
D. Yang
,
D. Zagier

- Moscow Math.J. 17 (2017) 601-633

[22]

On the Hurwitz scheme and its monodromy

N. Elkies
,
D. Eisenbud
,
J. Harris
,
R. Speiser

- Compos.Math. 77 (1991) 95-117

[23]

Some factorisations counted by Catalan numbers, Eur. J

D. Gewurz
,
F. Merola

[24]

Monotone Hurwitz numbers in genus zero

- Can.J.Math. 65 (2013) 1020-1042,
- Can. J. Math.-J. Can. Math. 65 (2013) 1020-1042
•
e-Print:
- 1204.2618
•
DOI:
- 10.4153/CJM-2012-038-0

[25]

Polynomiality of monotone Hurwitz numbers in higher genera

I. Goulden
,
M. Guay-Paquet
,
J. Novak

- Adv.Math. 238 (2013) 1-23

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