M-strings in thermodynamic limit: Seiberg-Witten geometry - INSPIRE

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M-strings in thermodynamic limit: Seiberg-Witten geometry

Babak Haghighat
(
- Harvard U., Phys. Dept. and
- Harvard U., Dept. Math.
)
,
Wenbin Yan
(
- Harvard U., Phys. Dept. and
- Harvard U.
)

Jul 26, 2016

12 pages

e-Print:

1607.07873 [hep-th]

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Abstract: (arXiv)

We initiate the study of M-strings in the thermodynamic limit. In this limit the BPS partition function of M5 branes localizes on configurations with a large number of strings which leads to a reformulation of the partition function in terms of a matrix model. We solve this matrix model and obtain its spectral curve which can be interpreted as the Seiberg-Witten curve associated to the compactified M5 brane theory.

Note:

12 pages, 4 figures

partition function
thermodynamical
membrane model
matrix model
compactification
spectral
geometry
string
BPS

References(30)

Figures(4)

[1]

On the Classification of 6D SCFTs and Generalized ADE Orbifolds

- JHEP 05 (2014) 028,
- JHEP 06 (2015) 017 (erratum)
•
e-Print:
- 1312.5746
•
DOI:
- 10.1007/JHEP05(2014)028

[2]

6d Conformal Matter

Michele Del Zotto
(
- Harvard U., Phys. Dept.
)
,
Jonathan J. Heckman
(
- Harvard U., Phys. Dept. and
- North Carolina U.
)
,
Alessandro Tomasiello
(
- Milan Bicocca U.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- JHEP 02 (2015) 054
•
e-Print:
- 1407.6359
•
DOI:
- 10.1007/JHEP02(2015)054

[3]

Anomaly polynomial of general 6d SCFTs

Kantaro Ohmori
(
- Tokyo U.
)
,
Hiroyuki Shimizu
(
- Tokyo U.
)
,
Yuji Tachikawa
(
- Tokyo U. and
- Tokyo U., IPMU
)
,
Kazuya Yonekura
(
- Princeton, Inst. Advanced Study
)

- PTEP 2014 (2014) 10, 103B07
•
e-Print:
- 1408.5572
•
DOI:
- 10.1093/ptep/ptu140

[4]

6D SCFTs and Gravity

Michele Del Zotto
(
- Harvard U.
)
,
Jonathan J. Heckman
(
- North Carolina U.
)
,
David R. Morrison
(
- UC, Santa Barbara
)
,
Daniel S. Park
(
- Stony Brook U., New York, SCGP
)

- JHEP 06 (2015) 158
•
e-Print:
- 1412.6526
•
DOI:
- 10.1007/JHEP06(2015)158

[5]

Atomic Classification of 6D SCFTs

Jonathan J. Heckman
(
- UNC, Chapel Hill
)
,
David R. Morrison
(
- UC, Santa Barbara and
- UC, Santa Barbara, Dept. Math.
)
,
Tom Rudelius
(
- Harvard U., Phys. Dept.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- Fortsch.Phys. 63 (2015) 468-530
•
e-Print:
- 1502.05405
•
DOI:
- 10.1002/prop.201500024

[6]

On the Defect Group of a 6D SCFT

- Lett.Math.Phys. 106 (2016) 6, 765-786
•
e-Print:
- 1503.04806
•
DOI:
- 10.1007/s11005-016-0839-5

[7]

Geometry of 6D RG Flows

Jonathan J. Heckman
(
- North Carolina U.
)
,
David R. Morrison
(
- UC, Santa Barbara
)
,
Tom Rudelius
(
- Harvard U., Phys. Dept.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- JHEP 09 (2015) 052
•
e-Print:
- 1505.00009
•
DOI:
- 10.1007/JHEP09(2015)052

[8]

Higher derivative terms, toroidal compactification, and Weyl anomalies in six-dimensional (2, 0) theories

Clay Cordova
(
- Harvard U.
)
,
Thomas T. Dumitrescu
(
- Harvard U., Phys. Dept.
)
,
Xi Yin
(
- Harvard U., Phys. Dept.
)

- JHEP 10 (2019) 128
•
e-Print:
- 1505.03850
•
DOI:
- 10.1007/JHEP10(2019)128

[9]

A new 5d description of 6d D-type minimal conformal matter

Hirotaka Hayashi
(
- Madrid, IFT
)
,
Sung-Soo Kim
(
- Korea Inst. Advanced Study, Seoul
)
,
Kimyeong Lee
(
- Korea Inst. Advanced Study, Seoul and
- Boston U.
)
,
Masato Taki
(
- Tokyo U., CNS, Saitama and
- Kyoto U., Yukawa Inst., Kyoto
)
,
Futoshi Yagi
(
- Korea Inst. Advanced Study, Seoul and
- Kyoto U., Yukawa Inst., Kyoto
)

- JHEP 08 (2015) 097
•
e-Print:
- 1505.04439
•
DOI:
- 10.1007/JHEP08(2015)097

[10]

Anomalies, renormalization group flows, and the a-theorem in six-dimensional (1, 0) theories

Clay Cordova
(
- Harvard U.
)
,
Thomas T. Dumitrescu
(
- Harvard U., Phys. Dept.
)
,
Kenneth Intriligator
(
- UC, San Diego
)

- JHEP 10 (2016) 080
•
e-Print:
- 1506.03807
•
DOI:
- 10.1007/JHEP10(2016)080

[11]

Evidence for C-theorems in 6D SCFTs

- JHEP 09 (2015) 218
•
e-Print:
- 1506.06753
•
DOI:
- 10.1007/JHEP09(2015)218

[12]

6d SCFTs, 5d Dualities and Tao Web Diagrams

- JHEP 05 (2019) 203
•
e-Print:
- 1509.03300
•
DOI:
- 10.1007/JHEP05(2019)203

[13]

More on 5d descriptions of 6d SCFTs

Hirotaka Hayashi
(
- Madrid, Autonoma U. and
- Madrid, IFT
)
,
Sung-Soo Kim
(
- Korea Inst. Advanced Study, Seoul
)
,
Kimyeong Lee
(
- Korea Inst. Advanced Study, Seoul
)
,
Masato Taki
(
- Saitama U. and
- Nishina Ctr., RIKEN
)
,
Futoshi Yagi
(
)

- JHEP 10 (2016) 126
•
e-Print:
- 1512.08239
•
DOI:
- 10.1007/JHEP10(2016)126

[14]

6D RG Flows and Nilpotent Hierarchies

Jonathan J. Heckman
(
)
,
Tom Rudelius
(
- Harvard U.
)
,
Alessandro Tomasiello
(
- INFN, Milan Bicocca and
- Milan Bicocca U.
)

- JHEP 07 (2016) 082
•
e-Print:
- 1601.04078
•
DOI:
- 10.1007/JHEP07(2016)082

[15]

Geometric engineering, mirror symmetry and $6{\mathrm{d}}_{\left(1,0\right)}\to 4{\mathrm{d}}_{\left(\mathcal{N}=2\right)}$

Michele Del Zotto
(
- Harvard U.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)
,
Dan Xie
(
- Harvard U., Phys. Dept.
)

- JHEP 11 (2015) 123
•
e-Print:
- 1504.08348
•
DOI:
- 10.1007/JHEP11(2015)123

[16]

F-theory and $\mathcal{N}$ = 1 SCFTs in four dimensions

David R. Morrison
(
- UC, Santa Barbara and
- UC, Santa Barbara, Dept. Math.
)
,
Cumrun Vafa
(
- Harvard U.
)

- JHEP 08 (2016) 070
•
e-Print:
- 1604.03560
•
DOI:
- 10.1007/JHEP08(2016)070

[17]

6d $\mathcal{N}=\left(1,\;0\right)$ theories on S $^{1}$ /T $^{2}$ and class S theories: part II

Kantaro Ohmori
(
- Tokyo U.
)
,
Hiroyuki Shimizu
(
- Tokyo U.
)
,
Yuji Tachikawa
(
- Tokyo U. and
- Tokyo U., IPMU
)
,
Kazuya Yonekura
(
- Princeton, Inst. Advanced Study
)

- JHEP 12 (2015) 131
•
e-Print:
- 1508.00915
•
DOI:
- 10.1007/JHEP12(2015)131

[18]

6d $\mathcal{N}=(1,0)$ theories on $T^2$ and class S theories: Part I

Kantaro Ohmori
(
- Tokyo U.
)
,
Hiroyuki Shimizu
(
- Tokyo U.
)
,
Yuji Tachikawa
(
- Tokyo U. and
- Tokyo U., IPMU
)
,
Kazuya Yonekura
(
- Princeton, Inst. Advanced Study
)

- JHEP 07 (2015) 014
•
e-Print:
- 1503.06217
•
DOI:
- 10.1007/JHEP07(2015)014

[19]

M-Strings

Babak Haghighat
(
- Harvard U., Phys. Dept.
)
,
Amer Iqbal
(
- Lahore U. Mgt. Sci.
)
,
Can Kozçaz
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Guglielmo Lockhart
(
- Harvard U., Phys. Dept.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- Commun.Math.Phys. 334 (2015) 2, 779-842
•
e-Print:
- 1305.6322
•
DOI:
- 10.1007/s00220-014-2139-1

[20]

Orbifolds of M-strings

Babak Haghighat
(
- Harvard U., Phys. Dept. and
- Harvard U., Dept. Math.
)
,
Can Kozcaz
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Guglielmo Lockhart
(
- Harvard U., Phys. Dept.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- Phys.Rev.D 89 (2014) 4, 046003
•
e-Print:
- 1310.1185
•
DOI:
- 10.1103/PhysRevD.89.046003

[21]

Elliptic Genus of E-strings

Joonho Kim
(
- Seoul Natl. U.
)
,
Seok Kim
(
- Seoul Natl. U.
)
,
Kimyeong Lee
(
- Korea Inst. Advanced Study, Seoul
)
,
Jaemo Park
(
- POSTECH, Pohang
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- JHEP 09 (2017) 098
•
e-Print:
- 1411.2324
•
DOI:
- 10.1007/JHEP09(2017)098

[22]

Strings of Minimal 6d SCFTs

Babak Haghighat
(
- Harvard U., Phys. Dept.
)
,
Albrecht Klemm
(
- Bonn U.
)
,
Guglielmo Lockhart
(
- Harvard U., Phys. Dept.
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept.
)

- Fortsch.Phys. 63 (2015) 294-322
•
e-Print:
- 1412.3152
•
DOI:
- 10.1002/prop.201500014

[23]

6d String Chains

Abhijit Gadde
(
- Princeton, Inst. Advanced Study
)
,
Babak Haghighat
(
- Harvard U., Dept. Math. and
- Harvard U., Phys. Dept.
)
,
Joonho Kim
(
- APCTP, Seoul and
- Seoul Natl. U., Dept. Phys. Astron.
)
,
Seok Kim
(
- APCTP, Seoul and
- Seoul Natl. U., Dept. Phys. Astron.
)
,
Guglielmo Lockhart
(
- Harvard U., Phys. Dept.
)

et al.

- JHEP 02 (2018) 143
•
e-Print:
- 1504.04614
•
DOI:
- 10.1007/JHEP02(2018)143

[24]

Higgsing towards E-strings

- JHEP 01 (2021) 110
•
e-Print:
- 1510.03128
•
DOI:
- 10.1007/JHEP01(2021)110

[25]

Seiberg-Witten theory and random partitions

- Prog.Math. 244 (2006) 525-596
•
e-Print:
- hep-th/0306238
•
DOI:
- 10.1007/0-8176-4467-9_15

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