Protected operators in N=2, N=4 supersymmetric theories - INSPIRE

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Protected operators in N=2, N=4 supersymmetric theories

Nicola Maggiore
(
- Genoa U. and
- INFN, Genoa
)
,
Alessandro Tanzini
(
- Paris U., VI-VII
)

May, 2001

17 pages

Published in:

Nucl.Phys.B 613 (2001) 34-48

e-Print:

hep-th/0105005 [hep-th]

DOI:

10.1016/S0550-3213(01)00398-4

Report number:

GEF-TH-7-2001,
LPTHE-01-22

View in:

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Abstract:

The anomalous dimension of single and multi-trace composite operators of scalar fields is shown to vanish at all orders of the perturbative series. The proof hold for theories with N=2 supersymmetry with any number of hypermultiplets in a generic representation of the gauge group. It then applies to the finite N=4 theory as well as to non conformal N=2 models.

Note:

17 pages, no figures; some misprints corrected, references added Report-no: GEF-TH-7/2001, LPTHE/01-22

03.70.+k
11.10.Gh
11.30.Pb
Extended supersymmetry
BRS quantization
AdS-CFT correspondence
gauge field theory: Yang-Mills
supersymmetry
invariance: Becchi-Rouet-Stora
invariance: gauge

References(47)

Figures(0)

Conformal Invariance in N=4 Supersymmetric Yang-Mills Theory

- Phys.Lett.B 100 (1981) 245,
- London Imp.Coll. - ICTP-80-81-09 (80,REC.FEB. 81) 11p
•
DOI:
- 10.1016/0370-2693(81)90326-9

Light Cone Superspace and the Ultraviolet Finiteness of the N=4 Model

Stanley Mandelstam
(
- UC, Berkeley
)

- Nucl.Phys.B 213 (1983) 149-168
•
DOI:
- 10.1016/0550-3213(83)90179-7

Miraculous Ultraviolet Cancellations in Supersymmetry Made Manifest

Paul S. Howe
(
- King's Coll. London
)
,
K.S. Stelle
(
- Imperial Coll., London
)
,
P.K. Townsend
(
- Ecole Normale Superieure
)

- Nucl.Phys.B 236 (1984) 125-166
•
DOI:
- 10.1016/0550-3213(84)90528-5

A Class of Finite Four-Dimensional Supersymmetric Field Theories

Paul S. Howe
(
- King's Coll. London
)
,
K.S. Stelle
(
- Imperial Coll., London
)
,
Peter C. West
(
- King's Coll. London and
- Santa Barbara, KITP
)

- Phys.Lett.B 124 (1983) 55-58
•
DOI:
- 10.1016/0370-2693(83)91402-8

The Large $N$ limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1

On N=8 supergravity on AdS(5) and N=4 superconformal Yang-Mills theory

- Nucl.Phys.B 532 (1998) 153-162
•
e-Print:
- hep-th/9802203
•
DOI:
- 10.1016/S0550-3213(98)00444-1

K-K excitations on AdS(5) x S**5 as N=4 'primary' superfields

L. Andrianopoli
(
- CERN and
- INFN, Turin
)
,
S. Ferrara
(
- CERN
)

- Phys.Lett.B 430 (1998) 248-253
•
e-Print:
- hep-th/9803171
•
DOI:
- 10.1016/S0370-2693(98)00553-X

`Nonchiral' primary superfields in the AdS(d+1) / CFT(d) correspondence

Laura Andrianopoli
(
- CERN
)
,
Sergio Ferrara
(
- CERN
)

- Lett.Math.Phys. 46 (1998) 265-279
•
e-Print:
- hep-th/9807150
•
DOI:
- 10.1023/A:1007529330007

On short and long SU(2,2/4) multiplets in the AdS / CFT correspondence

Laura Andrianopoli
(
- Leuven U.
)
,
Sergio Ferrara
(
- CERN
)

- Lett.Math.Phys. 48 (1999) 145-161
•
e-Print:
- hep-th/9812067
•
DOI:
- 10.1023/A:1007550823624

Nonrenormalization of extremal correlators in N=4 SYM theory

Massimo Bianchi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Stefano Kovacs
(
- Rome U., Tor Vergata and
- INFN, Rome
)

- Phys.Lett.B 468 (1999) 102-110
•
e-Print:
- hep-th/9910016
•
DOI:
- 10.1016/S0370-2693(99)01211-3

Anomalous dimensions in N=4 SYM theory at order g**4

Massimo Bianchi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Stefano Kovacs
(
- Cambridge U., DAMTP
)
,
Giancarlo Rossi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Yassen S. Stanev
(
- Rome U., Tor Vergata and
- INFN, Rome
)

- Nucl.Phys.B 584 (2000) 216-232
•
e-Print:
- hep-th/0003203
•
DOI:
- 10.1016/S0550-3213(00)00312-6

On the logarithmic behavior in N=4 SYM theory

Massimo Bianchi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Stefano Kovacs
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Giancarlo Rossi
(
- Rome U., Tor Vergata and
- INFN, Rome
)
,
Yassen S. Stanev
(
- Rome U., Tor Vergata and
- INFN, Rome
)

- JHEP 08 (1999) 020
•
e-Print:
- hep-th/9906188
•
DOI:
- 10.1088/1126-6708/1999/08/020

Nilpotent invariants in N=4 SYM

B. Eden
(
- King's Coll. London
)
,
Paul S. Howe
(
- King's Coll. London
)
,
Peter C. West
(
- King's Coll. London
)

- Phys.Lett.B 463 (1999) 19-26
•
e-Print:
- hep-th/9905085
•
DOI:
- 10.1016/S0370-2693(99)00705-4

Extremal correlators in four-dimensional SCFT

B. Eden
(
- King's Coll. London and
- Annecy, LAPTH
)
,
Paul S. Howe
(
- King's Coll. London
)
,
C. Schubert
(
- Annecy, LAPTH and
- Princeton, Inst. Advanced Study
)
,
E. Sokatchev
(
- Annecy, LAPTH
)
,
Peter C. West
(
- King's Coll. London
)

- Phys.Lett.B 472 (2000) 323-331
•
e-Print:
- hep-th/9910150
•
DOI:
- 10.1016/S0370-2693(99)01442-2

Explicit construction of nilpotent covariants in N=4 SYM

Paul S. Howe
(
- King's Coll. London
)
,
C. Schubert
(
- Annecy, LAPTH
)
,
E. Sokatchev
(
- Annecy, LAPTH
)
,
Peter C. West
(
- King's Coll. London
)

- Nucl.Phys.B 571 (2000) 71-90
•
e-Print:
- hep-th/9910011
•
DOI:
- 10.1016/S0550-3213(99)00768-3

Extremal and next-to-extremal n point correlators in four-dimensional SCFT

B.U. Eden
(
- Annecy, LAPTH
)
,
Paul S. Howe
(
- King's Coll. London
)
,
E. Sokatchev
(
- Annecy, LAPTH
)
,
Peter C. West
(
- King's Coll. London and
- CERN
)

- Phys.Lett.B 494 (2000) 141-147
•
e-Print:
- hep-th/0004102
•
DOI:
- 10.1016/S0370-2693(00)01181-3

Four point functions of lowest weight CPOs in N=4 SYM(4) in supergravity approximation

G. Arutyunov
(
- Munich U.
)
,
S. Frolov
(
- Alabama U.
)

- Phys.Rev.D 62 (2000) 064016
•
e-Print:
- hep-th/0002170
•
DOI:
- 10.1103/PhysRevD.62.064016

More on correlators and contact terms in N=4 SYM at order g**4

Silvia Penati
(
- Milan U. and
- INFN, Milan
)
,
Alberto Santambrogio
(
- Leuven U.
)
,
Daniela Zanon
(
- Milan U. and
- INFN, Milan
)

- Nucl.Phys.B 593 (2001) 651-670
•
e-Print:
- hep-th/0005223
•
DOI:
- 10.1016/S0550-3213(00)00633-7

Two point functions of chiral operators in N=4 SYM at order g**4

S. Penati
(
- Milan U. and
- INFN, Milan
)
,
A. Santambrogio
(
- Leuven U.
)
,
Daniela Zanon
(
- Milan U. and
- INFN, Milan
)

- JHEP 12 (1999) 006
•
e-Print:
- hep-th/9910197
•
DOI:
- 10.1088/1126-6708/1999/12/006

Operator product expansion of the lowest weight CPOs in $\mathcal N=4$ SYM $_4$ at strong coupling

Gleb Arutyunov
(
- Munich U.
)
,
Sergey Frolov
(
- Alabama U.
)
,
Anastasios C. Petkou
(
- Kaiserslautern U.
)

- Nucl.Phys.B 586 (2000) 547-588,
- Nucl.Phys.B 609 (2001) 539-539 (erratum)
•
e-Print:
- hep-th/0005182
•
DOI:
- 10.1016/S0550-3213(00)00439-9

Perturbative and instanton corrections to the OPE of CPOs in $\mathcal N=4$ SYM $_4$

Gleb Arutyunov
(
- Potsdam, Max Planck Inst.
)
,
Sergey Frolov
(
- Ohio State U.
)
,
Anastasios Petkou
(
- Milan U.
)

- Nucl.Phys.B 602 (2001) 238-260,
- Nucl.Phys.B 609 (2001) 540-540 (erratum)
•
e-Print:
- hep-th/0010137
•
DOI:
- 10.1016/S0550-3213(01)00118-3

Properties of the Konishi multiplet in N=4 SYM theory

Massimo Bianchi
(
- Cambridge U., DAMTP
)
,
Stefano Kovacs
(
- Cambridge U., DAMTP
)
,
Giancarlo Rossi
(
- CERN
)
,
Yassen S. Stanev
(
- Rome U., Tor Vergata and
- INFN, Rome2
)

- JHEP 05 (2001) 042
•
e-Print:
- hep-th/0104016
•
DOI:
- 10.1088/1126-6708/2001/05/042

Exceptional nonrenormalization properties and OPE analysis of chiral four point functions in N=4 SYM(4)

G. Arutyunov
(
- Potsdam, Max Planck Inst.
)
,
B. Eden
(
- Annecy, LAPTH
)
,
A.C. Petkou
(
- Milan U. and
- INFN, Milan
)
,
E. Sokatchev
(
- Annecy, LAPTH
)

- Nucl.Phys.B 620 (2002) 380-404
•
e-Print:
- hep-th/0103230
•
DOI:
- 10.1016/S0550-3213(01)00569-7

Perturbative beta function of N=2 superYang-Mills theories

A. Blasi
(
- Genoa U.
)
,
V.E.R. Lemes
(
- Rio de Janeiro State U.
)
,
N. Maggiore
(
- Genoa U.
)
,
S.P. Sorella
(
- Rio de Janeiro State U.
)
,
A. Tanzini
(
- Rome U., Tor Vergata
)

et al.

- JHEP 05 (2000) 039
•
e-Print:
- hep-th/0004048
•
DOI:
- 10.1088/1126-6708/2000/05/039

The action of N=4 superYang-Mills from a chiral primary operator

V.E.R. Lemes
(
- Rio de Janeiro State U.
)
,
M.S. Sarandy
(
- Rio de Janeiro, CBPF
)
,
S.P. Sorella
(
- Rio de Janeiro State U.
)
,
A. Tanzini
(
- Rome U., Tor Vergata
)
,
O.S. Ventura
(
- Rio de Janeiro State U.
)

- JHEP 01 (2001) 016
•
e-Print:
- hep-th/0011001
•
DOI:
- 10.1088/1126-6708/2001/01/016

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