Built on

M. F. Sohnius and P. C. West, An Alternative Minimal Off-Shell Version of N=1 Supergravity
1981
Earlier work this paper cites.
E. Witten, Constraints on Supersymmetry Breaking
1982
Earlier work this paper cites.
S. Cecotti and L. Girardello, Functional Measure, Topology and Dynamical Supersymmetry Breaking
1982
Earlier work this paper cites.
M. Sohnius and P. C. West, THE TENSOR CALCULUS AND MATTER COUPLING OF THE ALTERNATIVE MINIMAL AUXILIARY FIELD FORMULATION OF N=1 SUPERGRAVITY
1982
Earlier work this paper cites.
D. Sen, FERMIONS IN THE SPACE-TIME R x S**3
1986
Earlier work this paper cites.
D. Sen, SUPERSYMMETRY IN THE SPACE-TIME R x S**3
1987
Earlier work this paper cites.
E. Witten, Quantum Field Theory and the Jones Polynomial
1989
Earlier work this paper cites.
O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas, and M. Van Raamsdonk, The Hagedorn - deconfinement phase transition in weakly coupled large N gauge theories
2004
Earlier work this paper cites.

Similar

C. Romelsberger, Counting chiral primaries in N = 1, d=4 superconformal field theories
2006
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J. Kinney, J. M. Maldacena, S. Minwalla, and S. Raju, An Index for 4 dimensional super conformal theories
2007
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S. Benvenuti, B. Feng, A. Hanany, and Y.-H. He, Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
2007
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F. Dolan and H. Osborn, Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
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2009
Cited alongside, same era.
A. Kapustin, B. Willett, and I. Yaakov, Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
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2010
Cited alongside, same era.

Then

Y. Imamura, Relation between the 4d superconformal index and the S 3 S^{3} partition function
Original
2011
Later among the works it cites.
N. Hama, K. Hosomichi, and S. Lee, SUSY Gauge Theories on Squashed Three-Spheres
Original
2011
Later among the works it cites.
G. Festuccia and N. Seiberg, Rigid Supersymmetric Theories in Curved Superspace
Original
2011
Later among the works it cites.
N. Hama, K. Hosomichi, and S. Lee, Notes on SUSY Gauge Theories on Three-Sphere
Original
2011
Later among the works it cites.
V. Pestun, Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
Original

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2012

BPS states and their reductions

Agarwal, Prarit, Amariti, Antonio, Mariotti, Alberto et al.

Understand

We develop a method to identify the BPS states in the Hilbert space of a supersymmetric field theory on a generic curved space which preserves at least two real supercharges.

We also propose a one-to-one map between BPS states in d-dimensional field theories and states that contribute to the supersymmetric partition function of a corresponding (d-1)-dimensional field theory.
As an application we obtain the superconformal index on rounded and squashed three spheres, and we show a natural reduction of the respective indices to the three-dimensional exact partition functions.
We discuss the validity of the correspondence both at the perturbative and at the non-perturbative level and exploit the idea to uplift the computation of the exact supersymmetric partition function on a general manifold to a higher dimensional index.

Built on

M. F. Sohnius and P. C. West, An Alternative Minimal Off-Shell Version of N=1 Supergravity
1981
Earlier work this paper cites.
E. Witten, Constraints on Supersymmetry Breaking
1982
Earlier work this paper cites.
S. Cecotti and L. Girardello, Functional Measure, Topology and Dynamical Supersymmetry Breaking
1982
Earlier work this paper cites.
M. Sohnius and P. C. West, THE TENSOR CALCULUS AND MATTER COUPLING OF THE ALTERNATIVE MINIMAL AUXILIARY FIELD FORMULATION OF N=1 SUPERGRAVITY
1982
Earlier work this paper cites.
D. Sen, FERMIONS IN THE SPACE-TIME R x S**3
1986
Earlier work this paper cites.
D. Sen, SUPERSYMMETRY IN THE SPACE-TIME R x S**3
1987
Earlier work this paper cites.
E. Witten, Quantum Field Theory and the Jones Polynomial
1989
Earlier work this paper cites.
O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas, and M. Van Raamsdonk, The Hagedorn - deconfinement phase transition in weakly coupled large N gauge theories
2004
Earlier work this paper cites.

Similar

C. Romelsberger, Counting chiral primaries in N = 1, d=4 superconformal field theories
2006
Cited alongside, same era.
J. Kinney, J. M. Maldacena, S. Minwalla, and S. Raju, An Index for 4 dimensional super conformal theories
2007
Cited alongside, same era.
S. Benvenuti, B. Feng, A. Hanany, and Y.-H. He, Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
2007
Cited alongside, same era.
F. Dolan and H. Osborn, Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
Original
2009
Cited alongside, same era.
A. Kapustin, B. Willett, and I. Yaakov, Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
Original
2010
Cited alongside, same era.