New symmetries of supersymmetric effective Lagrangians
- Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
- School of Natural Sciences, Institute for Advanced Study, Olden Lane, Princeton, New Jersey 08540 (United States)
- Theoretical Physics Group, Lawrence Berkeley Laboratory, 1 Cyclotron Road, Berkeley, California 94720 (United States)
We consider the structure of effective Lagrangians describing the low-energy dynamics of supersymmetric theories in which a global symmetry {ital G} is spontaneously broken to a subgroup {ital H} while supersymmetry is unbroken. In accordance with the supersymmetric Goldstone theorem, these Lagrangians contain Nambu-Goldstone superfields associated with a coset space {ital G}{sup {ital c}}/{ital {cflx H}}, where {ital G}{sup {ital c}} is the complexification of {ital G} and {ital {cflx H}} is the largest subgroup of {ital G}{sup {ital c}} that leaves the order parameter invariant. The Lagrangian may also contain additional light matter fields. To analyze the effective Lagrangian for the matter fields we first consider the case where the effective Lagrangian is obtained by integrating out heavy modes at weak coupling (but including nonperturbative effects such as instantons). We show that the superpotential of the matter fields is {ital {cflx H}} invariant, which can give rise to nontrivial relations among independent {ital H} invariants in the superpotential. We also show that the Kaehler potential of the matter fields can be restricted by a remnant of {ital {cflx H}} symmetry. These results are nonperturbative and have a simple group-theoretic interpretation. When we relax the weak-coupling constraints, there appear to be additional possibilities for the action of {ital {cflx H}} on the matter fields, hinting that the constraints imposed by {ital {cflx H}} may be even richer in strongly coupled theories.
- Research Organization:
- Massachusetts Institute of Technology
- DOE Contract Number:
- AC02-76ER03069; FG02-90ER40542; AC03-76SF00098
- OSTI ID:
- 82212
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 52; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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