Reduced N = 2 quantum mechanics: Descendants of the Kähler geometries

A. Losev; M. Shifman

doi:10.1142/S0217732301005977

Reduced N = 2 quantum mechanics: Descendants of the Kähler geometries

A. Losev
, M. Shifman

Physics and Astronomy (Twin Cities)

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We discuss an N = 2 quantum mechanics with or without a central charge. A representation is constructed with the number of bosonic degrees of freedom less than one-half of the fermionic degrees of freedom. We suggest a systematic method of reducing the bosonic degrees of freedom called "dynamical reduction". Our consideration opens a problem of a general classification of nonstandard representations of N = 2 superalgebra.

Original language	English (US)
Pages (from-to)	2529-2543
Number of pages	15
Journal	Modern Physics Letters A
Volume	16
Issue number	39
DOIs	https://doi.org/10.1142/S0217732301005977
State	Published - Dec 21 2001

Bibliographical note

Funding Information:
This work was supported by DOE grant DE-FG02-94ER408. The work of A.L. was supported in part by RFFI grant 01-01-00548, Support for Scienti c Schools grant 00-15-96-557, and INTAS grant 99-590.

Keywords

Kähler geometry
Mirror symmetry
Supersymmetric quantum mechanics

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10.1142/S0217732301005977

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abstract = "We discuss an N = 2 quantum mechanics with or without a central charge. A representation is constructed with the number of bosonic degrees of freedom less than one-half of the fermionic degrees of freedom. We suggest a systematic method of reducing the bosonic degrees of freedom called {"}dynamical reduction{"}. Our consideration opens a problem of a general classification of nonstandard representations of N = 2 superalgebra.",

keywords = "K{\"a}hler geometry, Mirror symmetry, Supersymmetric quantum mechanics",

author = "A. Losev and M. Shifman",

note = "Funding Information: This work was supported by DOE grant DE-FG02-94ER408. The work of A.L. was supported in part by RFFI grant 01-01-00548, Support for Scienti c Schools grant 00-15-96-557, and INTAS grant 99-590.",

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language = "English (US)",

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T1 - Reduced N = 2 quantum mechanics

T2 - Descendants of the Kähler geometries

AU - Losev, A.

AU - Shifman, M.

N1 - Funding Information: This work was supported by DOE grant DE-FG02-94ER408. The work of A.L. was supported in part by RFFI grant 01-01-00548, Support for Scienti c Schools grant 00-15-96-557, and INTAS grant 99-590.

PY - 2001/12/21

Y1 - 2001/12/21

N2 - We discuss an N = 2 quantum mechanics with or without a central charge. A representation is constructed with the number of bosonic degrees of freedom less than one-half of the fermionic degrees of freedom. We suggest a systematic method of reducing the bosonic degrees of freedom called "dynamical reduction". Our consideration opens a problem of a general classification of nonstandard representations of N = 2 superalgebra.

AB - We discuss an N = 2 quantum mechanics with or without a central charge. A representation is constructed with the number of bosonic degrees of freedom less than one-half of the fermionic degrees of freedom. We suggest a systematic method of reducing the bosonic degrees of freedom called "dynamical reduction". Our consideration opens a problem of a general classification of nonstandard representations of N = 2 superalgebra.

KW - Kähler geometry

KW - Mirror symmetry

KW - Supersymmetric quantum mechanics

UR - https://www.scopus.com/pages/publications/0035931063

UR - https://www.scopus.com/pages/publications/0035931063#tab=citedBy

U2 - 10.1142/S0217732301005977

DO - 10.1142/S0217732301005977

M3 - Article

AN - SCOPUS:0035931063

SN - 0217-7323

VL - 16

SP - 2529

EP - 2543

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 39

ER -

Reduced N = 2 quantum mechanics: Descendants of the Kähler geometries

Abstract

Bibliographical note

Keywords

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