BPS states in the Minahan-Nemeschansky ${E_6}$ theory - INSPIRE

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BPS states in the Minahan-Nemeschansky ${E_6}$ theory

Jul 6, 2016

35 pages

Published in:

Commun.Math.Phys. 353 (2017) 1, 317-351

Published: Nov 12, 2016

e-Print:

1607.01743 [hep-th]

DOI:

10.1007/s00220-016-2798-1

View in:

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Abstract: (Springer)

We use the method of spectral networks to compute BPS state degeneracies in the Minahan-Nemeschansky

{E_6}

theory, on its Coulomb branch, without turning on a mass deformation. The BPS multiplicities come out in representations of the

{E_6}

flavor symmetry. For example, along the simplest ray in electromagnetic charge space, we give the first 14 numerical degeneracies, and the first 7 degeneracies as representations of

{E_6}

. We find a complicated spectrum, exhibiting exponential growth of multiplicities as a function of the electromagnetic charge. There is one unexpected outcome: the spectrum is consistent (in a nontrivial way) with the hypothesis of spin purity, that if a BPS state in this theory has electromagnetic charge equal to n times a primitive charge, then it appears in a spin-

{\frac{n}{2}}

multiplet.

Note:

39 pages

mass: deformation
symmetry: flavor
BPS
electromagnetic
multiplicity
multiplet
spectral
network
Coulomb
spin

References(38)

Figures(0)

[1]

An N=2 superconformal fixed point with E(6) global symmetry

- Nucl.Phys.B 482 (1996) 142-152
•
e-Print:
- hep-th/9608047
•
DOI:
- 10.1016/S0550-3213(96)00552-4

[2]

Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics

Nathan Seiberg
(
- Rutgers U., Piscataway
)

- Phys.Lett.B 388 (1996) 753-760
•
e-Print:
- hep-th/9608111
•
DOI:
- 10.1016/S0370-2693(96)01215-4

[3]

Superconformal fixed points with E(n) global symmetry

- Nucl.Phys.B 489 (1997) 24-46
•
e-Print:
- hep-th/9610076
•
DOI:
- 10.1016/S0550-3213(97)00039-4

[4]

A Holographic computation of the central charges of d=4, N=2 SCFTs

- JHEP 01 (2008) 037
•
e-Print:
- 0711.4532
•
DOI:
- 10.1088/1126-6708/2008/01/037

[5]

The Superconformal Index of the $E_{6}$ SCFT

Abhijit Gadde
(
- YITP, Stony Brook
)
,
Leonardo Rastelli
(
- YITP, Stony Brook
)
,
Shlomo S. Razamat
(
- YITP, Stony Brook
)
,
Wenbin Yan
(
- YITP, Stony Brook
)

- JHEP 08 (2010) 107
•
e-Print:
- 1003.4244
•
DOI:
- 10.1007/JHEP08(2010)107

[6]

"Lagrangian" for a Non-Lagrangian Field Theory with $\mathcal N=2$ Supersymmetry

- Phys.Rev.Lett. 115 (2015) 17, 171604
•
e-Print:
- 1505.05834
•
DOI:
- 10.1103/PhysRevLett.115.171604

[7]

N=2 dualities

Davide Gaiotto
(
- Princeton, Inst. Advanced Study
)

- JHEP 08 (2012) 034
•
e-Print:
- 0904.2715
•
DOI:
- 10.1007/JHEP08(2012)034

[8]

Wall-crossing, Hitchin systems, and the WKB approximation

- Adv.Math. 234 (2013) 239-403
•
e-Print:
- 0907.3987
•
DOI:
- 10.1016/j.aim.2012.09.027

[8]

Wall-crossing, Hitchin systems, and the WKB approximation

- Adv.Math. 234 (2013) 239-403
•
e-Print:
- 0907.3987
•
DOI:
- 10.1016/j.aim.2012.09.027

[9]

Exceptional Lie groups

Yokota I.

e-Print:
- 0902.0431

[10]

Spectral networks

- Annales Henri Poincare 14 (2013) 1643-1731
•
e-Print:
- 1204.4824
•
DOI:
- 10.1007/s00023-013-0239-7

[11]

Delocalization of Two-Dimensional Random Surfaces with Hard-Core Constraints

- Commun.Math.Phys. 340 (2015) 1, 1-46
•
e-Print:
- 1404.5895
•
DOI:
- 10.1007/s00220-015-2419-4

[11]

Spectral Networks with Spin

Dmitry Galakhov
(
- Moscow, ITEP
)
,
Pietro Longhi
(
- Rutgers U., Piscataway
)
,
Gregory W. Moore
(
- Rutgers U., Piscataway
)

- Commun.Math.Phys. 340 (2015) 1, 171-232
•
e-Print:
- 1408.0207
•
DOI:
- 10.1007/s00220-015-2455-0

[12]

Current algebra constraints on BPS particles.

C. Cordova
,
T. Dumitrescu

[13]

Refined stable pair invariants for E-, M- and $[p, q]$ -strings

Min-Xin Huang
(
- Hefei, CUST
)
,
Albrecht Klemm
(
- Bonn U. and
- Bonn U., Math. Inst.
)
,
Maximilian Poretschkin
(
- Bonn U.
)

- JHEP 11 (2013) 112
•
e-Print:
- 1308.0619
•
DOI:
- 10.1007/JHEP11(2013)112

[14]

Idempotents for Birman–Murakami–Wenzl algebras and reflection equation

- Adv.Theor.Math.Phys. 18 (2014) 1, 1-25
•
DOI:
- 10.4310/ATMP.2014.v18.n1.a1

[14]

$\mathcal{N} = 2$ quantum field theories and their BPS quivers

Murad Alim
(
- Harvard U., Phys. Dept.
)
,
Sergio Cecotti
(
- SISSA, Trieste
)
,
Clay Cordova
(
- Harvard U., Phys. Dept.
)
,
Sam Espahbodi
(
- Harvard U., Phys. Dept.
)
,
Ashwin Rastogi
(
- Harvard U., Phys. Dept.
)

et al.

- Adv.Theor.Math.Phys. 18 (2014) 1, 27-127
•
e-Print:
- 1112.3984
•
DOI:
- 10.4310/ATMP.2014.v18.n1.a2

[15]

Spectral Networks and Snakes

- Annales Henri Poincare 15 (2014) 61-141
•
e-Print:
- 1209.0866
•
DOI:
- 10.1007/s00023-013-0238-8

[16]

BPS spectrum of Argyres-Douglas theory via spectral network

- JHEP 12 (2013) 092
•
e-Print:
- 1309.3050
•
DOI:
- 10.1007/JHEP12(2013)092

[17]

Quantum Holonomies from Spectral Networks and Framed BPS States

Maxime Gabella
(
- Princeton, Inst. Advanced Study
)

- Commun.Math.Phys. 351 (2017) 2, 563-598
•
e-Print:
- 1603.05258
•
DOI:
- 10.1007/s00220-016-2729-1

[18]

ADE Spectral Networks

Pietro Longhi
(
- Uppsala U.
)
,
Chan Y. Park
(
- Rutgers U., Piscataway
)

- JHEP 08 (2016) 087
•
e-Print:
- 1601.02633
•
DOI:
- 10.1007/JHEP08(2016)087

[19]

swn-plotter.

A. Neitzke

- http://www.ma.utexas.edu/users/neitzke/mathematica/swn-plotter.nb

[20]

Surface Operators in N = 2 4d Gauge Theories

Davide Gaiotto
(
- Princeton, Inst. Advanced Study
)

- JHEP 11 (2012) 090
•
e-Print:
- 0911.1316
•
DOI:
- 10.1007/JHEP11(2012)090

[21]

Wall-Crossing in Coupled 2d-4d Systems

- JHEP 12 (2012) 082
•
e-Print:
- 1103.2598
•
DOI:
- 10.1007/JHEP12(2012)082

[22]

A New supersymmetric index

Sergio Cecotti
(
- SISSA, Trieste
)
,
Paul Fendley
(
- Boston U.
)
,
Kenneth A. Intriligator
(
- Harvard U.
)
,
Cumrun Vafa
(
- Harvard U.
)

- Nucl.Phys.B 386 (1992) 405-452
•
e-Print:
- hep-th/9204102
•
DOI:
- 10.1016/0550-3213(92)90572-S

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