Level/rank Duality and Chern-Simons-Matter Theories - INSPIRE

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Level/rank Duality and Chern-Simons-Matter Theories

Jul 25, 2016

35 pages

Published in:

JHEP 09 (2016) 095

Published: Sep 16, 2016

e-Print:

1607.07457 [hep-th]

DOI:

10.1007/JHEP09(2016)095

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Abstract: (Springer)

We discuss in detail level/rank duality in three-dimensional Chern-Simons theories and various related dualities in three-dimensional Chern-Simons-matter theories. We couple the dual Lagrangians to appropriate background fields (including gauge fields, spin

_{c}

connections and the metric). The non-trivial maps between the currents and the line operators in the dual theories is accounted for by mixing of these fields. In order for the duality to be valid we must add finite counterterms depending on these background fields. This analysis allows us to resolve a number of puzzles with these dualities, to provide derivations of some of them, and to find new consistency conditions and relations between them. In addition, we find new level/rank dualities of topological Chern-Simons theories and new dualities of Chern-Simons-matter theories, including new boson/boson and fermion/fermion dualities.

Note:

36 pages, clarifications about the fixed point with several flavors

Chern-Simons Theories
Duality in Gauge Field Theories
Nonperturbative Effects
Topological Field Theories
duality
Chern-Simons term
background field
gauge field theory: SU(N)
field theory: topological
spin

References(43)

Figures(0)

[1]

Level rank duality of WZW models in conformal field theory

- Commun.Math.Phys. 144 (1992) 351-372
•
DOI:
- 10.1007/BF02101097

[2]

Algebraic coset conformal field theories

Feng Xu
(
- Oklahoma U.
)

- Commun.Math.Phys. 211 (2000) 1-43
•
e-Print:
- math/9810035
•
DOI:
- 10.1007/s002200050800

[3]

Algebraic Conformal QFT

K.-H. Rehren

[4]

Strange duality revisited

Christian Pauly

- Math.Res.Lett. 21 (2014) 1353-1366
•
DOI:
- 10.4310/MRL.2014.v21.n6.a8

[5]

Level-Rank Duality Via Tensor Categories

V. Ostrik
,
M. Sun

- Commun.Math.Phys. 326 (2014) 49-61
•
e-Print:
- 1208.5131

[6]

Virasoro Algebras and Coset Space Models

P. Goddard
(
- Cambridge U.
)
,
A. Kent
(
- Cambridge U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Phys.Lett.B 152 (1985) 88-92
•
DOI:
- 10.1016/0370-2693(85)91145-1

[7]

Taming the Conformal Zoo

- Phys.Lett.B 220 (1989) 422-430
•
DOI:
- 10.1016/0370-2693(89)90897-6

[8]

Group Level Duality in {WZW} Models and {Chern-Simons} Theory

- Phys.Lett.B 246 (1990) 417-422
•
DOI:
- 10.1016/0370-2693(90)90623-E

[9]

Group level duality of WZW fusion coefficients and Chern-Simons link observables

- Nucl.Phys.B 352 (1991) 863-896
•
DOI:
- 10.1016/0550-3213(91)90110-J

[10]

Level-rank duality of the U(N) WZW model, Chern-Simons theory, and 2-D qYM theory

Stephen G. Naculich
(
- Bowdoin Coll.
)
,
Howard J. Schnitzer
(
- Brandeis U.
)

- JHEP 06 (2007) 023
•
e-Print:
- hep-th/0703089
•
DOI:
- 10.1088/1126-6708/2007/06/023

[11]

Chern-Simons-Witten theory as a topological Fermi liquid

Michael R. Douglas
(
- Rutgers U., Piscataway
)

e-Print:
- hep-th/9403119

[12]

The Verlinde algebra and the cohomology of the Grassmannian

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- In *Cambridge 1993, Geometry, topology, and physics* 357-422
•
e-Print:
- hep-th/9312104

[13]

Gapped Boundary Phases of Topological Insulators via Weak Coupling

- PTEP 2016 (2016) 12, 12C101
•
e-Print:
- 1602.04251
•
DOI:
- 10.1093/ptep/ptw083

[14]

A Duality Web in 2+1 Dimensions and Condensed Matter Physics

- Annals Phys. 374 (2016) 395-433
•
e-Print:
- 1606.01989
•
DOI:
- 10.1016/j.aop.2016.08.007

[15]

Comments on Chern-Simons Contact Terms in Three Dimensions

- JHEP 09 (2012) 091
•
e-Print:
- 1206.5218
•
DOI:
- 10.1007/JHEP09(2012)091

[16]

Seiberg Duality in Chern-Simons Theory

Amit Giveon
(
- Hebrew U.
)
,
David Kutasov
(
- Chicago U., EFI and
- Chicago U.
)

- Nucl.Phys.B 812 (2009) 1-11
•
e-Print:
- 0808.0360
•
DOI:
- 10.1016/j.nuclphysb.2008.09.045

[17]

Comments on 3d Seiberg-like dualities

- JHEP 10 (2011) 075
•
e-Print:
- 1108.5373
•
DOI:
- 10.1007/JHEP10(2011)075

[18]

3d dualities from 4d dualities

- JHEP 07 (2013) 149
•
e-Print:
- 1305.3924
•
DOI:
- 10.1007/JHEP07(2013)149

[19]

Seiberg-like Dualities for 3d N=2 Theories with SU(N) gauge group

Jaemo Park
(
- POSTECH
)
,
Kyung-Jae Park
(
- POSTECH
)

- JHEP 10 (2013) 198
•
e-Print:
- 1305.6280
•
DOI:
- 10.1007/JHEP10(2013)198

[20]

d=3 Bosonic Vector Models Coupled to Chern-Simons Gauge Theories

- JHEP 03 (2012) 037
•
e-Print:
- 1110.4382
•
DOI:
- 10.1007/JHEP03(2012)037

[21]

Chern-Simons Theory with Vector Fermion Matter

Simone Giombi
(
- Perimeter Inst. Theor. Phys.
)
,
Shiraz Minwalla
(
- Tata Inst.
)
,
Shiroman Prakash
(
- Tata Inst.
)
,
Sandip P. Trivedi
(
- Tata Inst.
)
,
Spenta R. Wadia
(
)

et al.

- Eur.Phys.J.C 72 (2012) 2112
•
e-Print:
- 1110.4386
•
DOI:
- 10.1140/epjc/s10052-012-2112-0

[22]

Correlation Functions of Large N Chern-Simons-Matter Theories and Bosonization in Three Dimensions

- JHEP 12 (2012) 028
•
e-Print:
- 1207.4593
•
DOI:
- 10.1007/JHEP12(2012)028

[23]

Holography, Unfolding and Higher-Spin Theory

Mikhail A. Vasiliev
(
- Lebedev Inst.
)

- J.Phys.A 46 (2013) 214013
•
e-Print:
- 1203.5554
•
DOI:
- 10.1088/1751-8113/46/21/214013

[24]

Chern Simons duality with a fundamental boson and fermion

- JHEP 11 (2013) 037
•
e-Print:
- 1305.7235
•
DOI:
- 10.1007/JHEP11(2013)037

[25]

Three Dimensional Bosonization From Supersymmetry

Guy Gur-Ari
(
- Stanford U., ITP
)
,
Ran Yacoby
(
- Princeton U.
)

- JHEP 11 (2015) 013
•
e-Print:
- 1507.04378
•
DOI:
- 10.1007/JHEP11(2015)013

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