Elliptic Genera of 2d $${\mathcal{N}}$$ N = 2 Gauge Theories

Benini, Francesco; Eager, Richard; Hori, Kentaro; Tachikawa, Yuji

doi:10.1007/s00220-014-2210-y

Cited by 312 publications

(689 citation statements)

References 39 publications

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“…The gauge theory elliptic genus can be computed by performing a suitable contour integral of [18][19][20], with the integral measure given by the contributions from the fields listed in table 1. The integral representation for Z k is given by [21] …”

Section: The Elliptic Genus Of Iib Little Stringsmentioning

confidence: 99%

“…For later use, it would be helpful to note the key steps towards the derivation of (2.7). Firstly, the contour integral in (2.6) is a sum over the so-called Jeffrey-Kirwan residues (JK-Res) [20]. The poles with nonzero JK-Res for (2.6) has been studied in [21].…”

Section: Jhep02(2016)170mentioning

confidence: 99%

“…The poles with nonzero JK-Res for (2.6) has been studied in [21]. It was first shown in [21] that all the poles from Z hyper never give nonzero JK-Res: whenever we pick a pole from the denominator term θ 1 (±m − ǫ + + u IJ ) according to the rules of [20,21], a term of the form θ 1 (±m − ǫ − + u IJ ) in the numerator always vanishes. So we can completely restrict our discussions to the poles from Z vec .…”

Section: Jhep02(2016)170mentioning

confidence: 99%

“…In fact, with generic FI term ξ (i) I , the Coulomb branch will be all lifted as U(1) N → U(1). Since the elliptic genus formula of [19,20] is computing the index of CFT with generic nonzero FI parameters, this formula will compute the unwanted Higgs branch index, with lifted Coulomb branch. Apart from the absence of the SU(2) L2 in UV, this is another reason that the above (4, 4) CFT is inconvenient for studying the little string physics.…”

Section: Jhep02(2016)170mentioning

confidence: 99%

“…Although we expect the symmetry enhancement to happen in IR, this means that the UV gauge theory would be of limited use. Also, studying the spectrum of the Coulomb branch CFT will be difficult with the approaches of [19,20]. Closely following the idea of [15,27], we shall engineer (0, 4) UV gauge theories for the IIA string systems which resolve all these problems.…”

Section: N = (0 4) Gauge Theory Descriptionsmentioning

confidence: 99%

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Little strings and T-duality

Kim

Lee

2016

J. High Energ. Phys.

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We study the 2d N = 4 gauge theory descriptions of little strings on type II NS5-branes. The IIB strings on N NS5-branes are described by the N = (4, 4) gauge theories, whose Higgs branch CFTs on U(N ) instanton moduli spaces are relevant. The IIA strings are described by N = (4, 4)Â N −1 quiver theories, whose Coulomb branch CFTs are relevant. We study new N = (0, 4) quiver gauge theories for the IIA strings, which make it easier to study some infrared observables. In particular, we show that the supersymmetric partition functions of the IIA/IIB strings on Omega-deformed R 4 × T 2 precisely map to each other by T-duality.

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Section: The Elliptic Genus Of Iib Little Stringsmentioning

confidence: 99%

Section: Jhep02(2016)170mentioning

confidence: 99%

Section: Jhep02(2016)170mentioning

confidence: 99%

Section: Jhep02(2016)170mentioning

confidence: 99%

Section: N = (0 4) Gauge Theory Descriptionsmentioning

confidence: 99%

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Little strings and T-duality

Kim

Lee

2016

J. High Energ. Phys.

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Strings of Minimal 6d SCFTs

et al. 2015

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We study strings associated with minimal 6d SCFTs, which by definition have only one string charge and no Higgs branch. These theories are labelled by a number n with 1 <= n <= 8 or n = 12. Quiver theories have previously been proposed which describe strings of SCFTs for n = 1, 2. For n > 2 the strings interact with the bulk gauge symmetry. In this paper we find a quiver description for the n = 4 string using Sen's limit of F-theory and calculate its elliptic genus with localization techniques. This result is checked using the duality of F-theory with M-theory and topological string theory whose refined BPS partition function captures the elliptic genus of the SCFT strings. We use the topological string theory to gain insight into the elliptic genus for other values of n.Comment: 50+1 pages, 8 figure

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On 3d Seiberg‐Like Dualities with Two Adjoints

Hwang

Kim

Park

2018

Fortschritte der Physik

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We study N=2 3‐d theories with two adjoints and fundamental flavors along with D‐type superpotential. For superpotential WDn+2= Tr false(Xn+1+XY2false) with n odd, we propose the 3d dualities, which we motivate from the dimensional reduction of the related 4‐d theory. We consider the factorization of the superconformal index and match precisely the vortex partition function of the dual pairs. In the language of the Higgs branch localization, the nonzero contribution of the vortex partition function comes from the discrete Higgs vacua of the massively deformed theory, which precisely matches with that of the dual theory. We also clarify the monopole operators parametrizing the Coulomb branch of such theories. Existence of independent monopole operators of charge 2 is crucial to describe the Coulomb branch.

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Elliptic Genera of 2d $${\mathcal{N}}$$ N = 2 Gauge Theories

Abstract: Let R be an E 2 ring spectrum with zero odd dimensional homo-topy groups. Every map of ring spectra M U → R is represented by a map of E 2 ring spectra. If 2 is invertible in π 0 R, then every map of ring spectra M SO → R is represented by a map of E 2 ring spectra.

Cited by 312 publications

References 39 publications

Little strings and T-duality

Little strings and T-duality

Strings of Minimal 6d SCFTs

On 3d Seiberg‐Like Dualities with Two Adjoints

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