A Nilpotency Index of Conformal Manifolds

Komargodski, Zohar; Razamat, Shlomo S.; Sela, Orr; Sharon, Adar

doi:10.1007/JHEP10(2020)183

A Nilpotency Index of Conformal Manifolds

Zohar Komargodski
(
- Stony Brook U.
)
,
Shlomo S. Razamat
(
- Technion
)
,
Orr Sela
(
- Technion
)
,
Adar Sharon
(
- Weizmann Inst.
)

Mar 10, 2020

21 pages

Published in:

JHEP 10 (2020) 183

Published: Oct 28, 2020

e-Print:

2003.04579 [hep-th]

DOI:

10.1007/JHEP10(2020)183 (publication)

View in:

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Abstract: (arXiv)

We show that exactly marginal operators of Supersymmetric Conformal Field Theories (SCFTs) with four supercharges cannot obtain a vacuum expectation value at a generic point on the conformal manifold. Exactly marginal operators are therefore nilpotent in the chiral ring. This allows us to associate an integer to the conformal manifold, which we call the nilpotency index of the conformal manifold. We discuss several examples in diverse dimensions where we demonstrate these facts and compute the nilpotency index.

Note:

21 pages, 1 figure

Conformal Field Theory
Supersymmetric Gauge Theory
field theory: conformal

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Figures(2)

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