SUPERCONFORMAL FIELD THEORIES

By J. Terning. 2005

574 citations recorded by the source corpus.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/55b76dc24641c596837f67dc98774e7b264e7851

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Citations in the corpus

N$$ \mathcal{N} $$ = 1 supersymmetric indices and the four-dimensional A-model (2017, unknown): “Introduction The N = 1 supersymmetric index [1, 2] provides us with an invaluable tool in the study of four-dimensional supersymmetric quantum field theories with an exact R-symmetry, U(1)R.”
SQCD: A Geometric Apercu (2008, unknown): “, [24, 25, 34, 22, 16, 37, 38, 18, 21, 35, 36, 39]) that count the number of BPS GIOs in various gauge theories.”
Applications of the superconformal index for protected operators and q-hypergeometric identities to N=1 dual theories (2008, result): “For such theories R¨omelsber ge r [10,11] also constructed an index which is essentially equivalent to that of [7] in this case.”
Gauge Theories and Macdonald Polynomials (2011, methodology): “Taking for illustration the SCFT associated 3We should mention that for N = 1 SCFTs obtained as IR points of an RG flow, a prescription to compute the index in terms of the UV field content and the charges of the anomaly free R-symmetry was put forward by Romelsberger [13, 17] and recently revisited”
4d Index to 3d Index and 2d TQFT (2011, background): “In this section we show explicitly that the p → ∞ limit of the 4d N = 1 index on S1 × L(p, 1) = S1 × S3/Zp gives the 3d N = 2 index on S1 × S2.”
Superconformal indices of three-dimensional theories related by mirror symmetry (2011, methodology): “After combining everything, this gives an exact formula for 3d SCIs analogous to Römelsberger’s result for 4d N = 1 SYM theories [2].”
Localization on Hopf surfaces (2014, methodology): “The supersymmetric index was introduced in [11, 12, 13] in the context of superconformal field theories, and has been used in [14, 15, 16, 17] (and many others) to test non-perturbative dualities.”
N=1 theories of class S_k (2015, background): “The supersymmetric index [58, 59] counts with signs and weights the protected operators of the theory.”
2d index and surface operators (2013, background): “λ Npar(λ) [4] 1 [3, 1] 3 [2, 2] 1 [2, 1, 1] 2 [1, 1, 1, 1] 1 In total, in this case one finds 8 conjugacy classes of parabolic subalgebras, in agreement with (5.”
Supersymmetry on curved spaces and holography (2012, background): “The partition function defined on S × S computes what is known as the supersymmetric index [22, 23] of the theory.”
On the superconformal index of Argyres–Douglas theories (2015, methodology): “Since the superconformal index is invariant under exactly marginal deformations, it can be evaluated in a weak gauge coupling limit (note, however, that the full theory still consists of strongly coupled sub-sectors) [15] using our conjecture in (4.”
Sasaki–Einstein Manifolds and Volume Minimisation (2006, background): “In [47,48] some indices counting BPS operators of superconformal field theories have been introduced and studied.”
Bootstrapping the superconformal index with surface defects (2012, background): “Four important classes of examples are expectation values of circular Wilson loops in 4d N = 2 theories on S4 [3], partition functions of 3d N = 2 theories on S3 [4, 5, 6], partition functions of N = 1 and N = 2 theories on S3 × S1 [7, 8] and partition functions of N = 2 theories on S2 × S1 [9, 10, ”
Rigid supersymmetric theories in curved superspace (2011, methodology): “Such theories were originally studied by Sen [21,22] and more recently by Romelsberger [23,24], who used N = 1 theories on S3 × S1 to define an index which reduces to [25] when the theory is superconformal.”