Mass-deformed T$_{N}$ as a linear quiver

Hayashi, Hirotaka; Tachikawa, Yuji; Yonekura, Kazuya

doi:10.1007/JHEP02(2015)089

Mass-deformed T $_{N}$ as a linear quiver

Hirotaka Hayashi
(
- Madrid, IFT
)
,
Yuji Tachikawa
(
- Tokyo U. and
- Tokyo U., IPMU
)
,
Kazuya Yonekura
(
- Princeton, Inst. Advanced Study
)

Oct 24, 2014

36 pages

Published in:

JHEP 02 (2015) 089

Published: Feb 13, 2015

e-Print:

1410.6868 [hep-th]

DOI:

10.1007/JHEP02(2015)089

Report number:

IFT-UAM-CSIC-14-107,
IPMU-14-0325,
UT-14-45

View in:

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Abstract: (Springer)

The T

_{N}

theory is a non-Lagrangian theory with SU(N)

^{3}

flavor symmetry. We argue that when mass terms are given so that two of SU(N)’s are both broken to SU(N −1)×U(1), it becomes T

_{N −1}

theory coupled to an SU(N −1) vector multiplet together with N fundamentals. This implies that when two of SU(N)’s are both broken to U(1)^{N}^{ −1}, the theory becomes a linear quiver.

Note:

36 pages, 5 figures; v2: short discussions on 3d T_N theory appended, typos corrected, and references added

Supersymmetric gauge theory
Field Theories in Higher Dimensions
Topological Strings
multiplet: vector
symmetry: flavor
SU(N)
quiver
U(1)
partition function

References(40)

Figures(4)

[1]

S-duality in N=2 supersymmetric gauge theories

- JHEP 12 (2007) 088
•
e-Print:
- 0711.0054
•
DOI:
- 10.1088/1126-6708/2007/12/088

[2]

Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories

Philip C. Argyres
(
- Cincinnati U.
)
,
John R. Wittig
(
- Cincinnati U.
)

- JHEP 01 (2008) 074
•
e-Print:
- 0712.2028
•
DOI:
- 10.1088/1126-6708/2008/01/074

[3]

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

[4]

Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces

- Nucl.Phys.B 497 (1997) 56-100
•
e-Print:
- hep-th/9702198
•
DOI:
- 10.1016/S0550-3213(97)00279-4

[5]

N=2 dualities

Davide Gaiotto
(
- Princeton, Inst. Advanced Study
)

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

[6]

The Gravity duals of N=2 superconformal field theories

- JHEP 10 (2012) 189
•
e-Print:
- 0904.4466
•
DOI:
- 10.1007/JHEP10(2012)189

[7]

Webs of five-branes and N=2 superconformal field theories

Francesco Benini
(
- Princeton U.
)
,
Sergio Benvenuti
(
- Princeton U.
)
,
Yuji Tachikawa
(
- Princeton, Inst. Advanced Study
)

- JHEP 09 (2009) 052
•
e-Print:
- 0906.0359
•
DOI:
- 10.1088/1126-6708/2009/09/052

[8]

The 4d Superconformal Index from q-deformed 2d Yang-Mills

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

- Phys.Rev.Lett. 106 (2011) 241602
•
e-Print:
- 1104.3850
•
DOI:
- 10.1103/PhysRevLett.106.241602

[9]

Gauge Theories and Macdonald Polynomials

Abhijit Gadde
(
- YITP, Stony Brook and
- Caltech
)
,
Leonardo Rastelli
(
- YITP, Stony Brook
)
,
Shlomo S. Razamat
(
- YITP, Stony Brook and
- Princeton, Inst. Advanced Study
)
,
Wenbin Yan
(
- YITP, Stony Brook
)

- Commun.Math.Phys. 319 (2013) 147-193
•
e-Print:
- 1110.3740
•
DOI:
- 10.1007/s00220-012-1607-8

[10]

Topological strings and 5d $T_N$ partition functions

- JHEP 06 (2014) 014
•
e-Print:
- 1310.3854
•
DOI:
- 10.1007/JHEP06(2014)014

[11]

Non-Lagrangian Theories from Brane Junctions

Ling Bao
(
- Goteborg, ITP
)
,
Vladimir Mitev
(
- Humboldt U., Berlin
)
,
Elli Pomoni
(
- DESY
)
,
Masato Taki
(
- Nishina Ctr., RIKEN
)
,
Futoshi Yagi
(
)

- JHEP 01 (2014) 175
•
e-Print:
- 1310.3841
•
DOI:
- 10.1007/JHEP01(2014)175

[12]

New N=1 Dualities

Abhijit Gadde
(
- Caltech
)
,
Kazunobu Maruyoshi
(
- Caltech
)
,
Yuji Tachikawa
(
- Tokyo U., IPMU and
- Tokyo U.
)
,
Wenbin Yan
(
- Caltech
)

- JHEP 06 (2013) 056
•
e-Print:
- 1303.0836
•
DOI:
- 10.1007/JHEP06(2013)056

[13]

$\mathcal{N}$ = 1 dynamics with $T_N$ theory

Kazunobu Maruyoshi
(
- Caltech
)
,
Yuji Tachikawa
(
- Tokyo U. and
- Tokyo U., IPMU
)
,
Wenbin Yan
(
- Caltech
)
,
Kazuya Yonekura
(
- Princeton, Inst. Advanced Study
)

- JHEP 10 (2013) 010
•
e-Print:
- 1305.5250
•
DOI:
- 10.1007/JHEP10(2013)010

[14]

Tinkertoys for Gaiotto Duality

Oscar Chacaltana
(
- Texas U.
)
,
Jacques Distler
(
- Texas U.
)

- JHEP 11 (2010) 099
•
e-Print:
- 1008.5203
•
DOI:
- 10.1007/JHEP11(2010)099

[15]

Theories of class $\mathcal{S}$ and new $\mathcal{N}$ = 1 SCFTs

- JHEP 06 (2015) 047
•
e-Print:
- 1409.7668
•
DOI:
- 10.1007/JHEP06(2015)047

[16]

$A_n$ -Triality

Mina Aganagic
(
- UC, Berkeley and
- UC, Berkeley, Math. Dept.
)
,
Nathan Haouzi
(
- UC, Berkeley
)
,
Shamil Shakirov
(
- UC, Berkeley, Math. Dept. and
- UC, Berkeley and
- Moscow, ITEP
)

e-Print:
- 1403.3657

[17]

Lifting 4d dualities to 5d

Oren Bergman
(
- Technion
)
,
Gabi Zafrir
(
- Technion
)

- JHEP 04 (2015) 141
•
e-Print:
- 1410.2806
•
DOI:
- 10.1007/JHEP04(2015)141

[18]

S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory

- Adv.Theor.Math.Phys. 13 (2009) 3, 721-896
•
e-Print:
- 0807.3720
•
DOI:
- 10.4310/ATMP.2009.v13.n3.a5

[19]

Five-branes, seven-branes and five-dimensional E(n) field theories

- JHEP 03 (1999) 006
•
e-Print:
- hep-th/9902179
•
DOI:
- 10.1088/1126-6708/1999/03/006

[20]

Branes and toric geometry

Naichung Conan Leung
(
- Minnesota U.
)
,
Cumrun Vafa
(
- Harvard U.
)

- Adv.Theor.Math.Phys. 2 (1998) 91-118
•
e-Print:
- hep-th/9711013
•
DOI:
- 10.4310/ATMP.1998.v2.n1.a4

[21]

M theory and topological strings. 2.

Rajesh Gopakumar
(
- Harvard U.
)
,
Cumrun Vafa
(
- Harvard U.
)

e-Print:
- hep-th/9812127

[22]

All genus topological string amplitudes and five-brane webs as Feynman diagrams

Amer Iqbal
(
- Texas U.
)

e-Print:
- hep-th/0207114

[23]

The Topological vertex

Mina Aganagic
(
- Harvard U.
)
,
Albrecht Klemm
(
- Humboldt U., Berlin
)
,
Marcos Marino
(
- CERN
)
,
Cumrun Vafa
(
- Harvard U. and
- Caltech
)

- Commun.Math.Phys. 254 (2005) 425-478
•
e-Print:
- hep-th/0305132
•
DOI:
- 10.1007/s00220-004-1162-z

[24]

Instanton counting, Macdonald functions and the moduli space of D-branes

- JHEP 05 (2005) 039
•
e-Print:
- hep-th/0502061
•
DOI:
- 10.1088/1126-6708/2005/05/039

[25]

The Refined topological vertex

Amer Iqbal
(
- Washington U., Seattle
)
,
Can Kozcaz
(
- Washington U., Seattle
)
,
Cumrun Vafa
(
- Harvard U., Phys. Dept. and
- MIT, LNS
)

- JHEP 10 (2009) 069
•
e-Print:
- hep-th/0701156
•
DOI:
- 10.1088/1126-6708/2009/10/069

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Mass-deformed TN_{N}N​ as a linear quiver

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Mass-deformed T $_{N}$ as a linear quiver