On geometric classification of 5d SCFTs Jefferson, Patrick; Katz, Sheldon; Kim, Hee-Cheol ...
The journal of high energy physics,
04/2018, Letnik:
2018, Številka:
4
Journal Article
Recenzirano
Odprti dostop
A
bstract
We formulate geometric conditions necessary for engineering 5d superconformal field theories (SCFTs) via M-theory compactification on a local Calabi-Yau 3-fold. Extending the classification ...of the rank 1 cases, which are realized geometrically as shrinking del Pezzo surfaces embedded in a 3-fold, we propose an exhaustive classification of local 3-folds engineering rank 2 SCFTs in 5d. This systematic classification confirms that all rank 2 SCFTs predicted using gauge theoretic arguments can be realized as consistent theories, with the exception of one family which is shown to be non-perturbatively inconsistent and thereby ruled out by geometric considerations. We find that all rank 2 SCFTs descend from 6d (1,0) SCFTs compactified on a circle possibly twisted with an automorphism together with holonomies for global symmetries around the Kaluza-Klein circle. These results support our conjecture that every 5d SCFT can be obtained from the circle compactification of some parent 6d (1,0) SCFT.
Zebrafish have several advantages compared to other vertebrate models used in modeling human diseases, particularly for large-scale genetic mutant and therapeutic compound screenings, and other ...biomedical research applications. With the impactful developments of CRISPR and next-generation sequencing technology, disease modeling in zebrafish is accelerating the understanding of the molecular mechanisms of human genetic diseases. These efforts are fundamental for the future of precision medicine because they provide new diagnostic and therapeutic solutions. This review focuses on zebrafish disease models for biomedical research, mainly in developmental disorders, mental disorders, and metabolic diseases.
A
bstract
We consider certain line defect operators in five-dimensional SUSY gauge theories, whose interaction with the self-dual instantons is described by 1d ADHM-like gauged quantum mechanics ...constructed by Tong and Wong. The partition function in the presence of these operators is known to be a generating function of BPS Wilson loops in skew symmetric tensor representations of the gauge group. We calculate the partition function and explicitly prove that it is a finite polynomial of the defect mass parameter
x
, which is an essential property of the defect operator and the Wilson loop generating function. The relation between the line defect partition function and the
qq
-character defined by
N
. Nekrasov is briefly discussed.
Branes and the swampland Kim, Hee-Cheol; Shiu, Gary; Vafa, Cumrun
Physical review. D,
09/2019, Letnik:
100, Številka:
6
Journal Article
Recenzirano
Odprti dostop
Completeness of the spectrum of charged branes in a quantum theory of gravity naturally motivates the question of whether the consistency of what lives on the branes can be used to explain some of ...the swampland conditions. In this paper, we focus on consistency of what lives on string probes to show that some of the theories with N=(1,0) supersymmetry in ten dimensions and six dimensions, which are otherwise consistent looking, belong to the swampland. Gravitational and gauge group anomaly inflow on these probes can be used to compute the gravitational central charges (cL,cR) as well as the level of the group's current algebra kL. The fact that the left-moving central charge on the string probes should be large enough to allow unitary representations of the current algebra with a given level can be used to rule out some theories. This, in particular, explains why it has not been possible to construct the corresponding theories from string theory.
Twisted circle compactifications of 6d SCFTs Bhardwaj, Lakshya; Jefferson, Patrick; Kim, Hee-Cheol ...
The journal of high energy physics,
12/2020, Letnik:
2020, Številka:
12
Journal Article
Recenzirano
Odprti dostop
A
bstract
We study 6
d
superconformal field theories (SCFTs) compactified on a circle with arbitrary twists. The theories obtained after compactification, often referred to as 5
d
Kaluza-Klein (KK) ...theories, can be viewed as starting points for RG flows to 5
d
SCFTs. According to a conjecture, all 5
d
SCFTs can be obtained in this fashion. We compute the Coulomb branch prepotential for all 5
d
KK theories obtainable in this manner and associate to these theories a smooth local genus one fibered Calabi-Yau threefold in which is encoded information about all possible RG flows to 5
d
SCFTs. These Calabi-Yau threefolds provide hitherto unknown M-theory duals of F-theory configurations compactified on a circle with twists. For certain exceptional KK theories that do not admit a standard geometric description we propose an algebraic description that appears to retain the properties of the local Calabi-Yau threefolds necessary to determine RG flows to 5
d
SCFTs, along with other relevant physical data.
A
bstract
We propose an explicit description of “duality walls” which encode at low energy the global symmetry enhancement expected in the UV completion of certain five-dimensional gauge theories. ...The proposal is supported by explicit localization computations and implies that the instanton partition function of these theories satisfies novel and unexpected integral equations.
5d/6d Wilson loops from blowups Kim, Hee-Cheol; Kim, Minsung; Kim, Sung-Soo
The journal of high energy physics,
08/2021, Letnik:
2021, Številka:
8
Journal Article
Recenzirano
Odprti dostop
A
bstract
We generalize Nakajima-Yoshioka’s blowup formula to calculate the partition functions counting the spectrum of bound states to half-BPS Wilson loop operators in 5d (and 6d) supersymmetric ...field theories. The partition function in the presence of a Wilson loop operator on the Ω-background is factorized when put on the blowup
ℂ
̂
2
into two Wilson loop partition functions under the localization. This structure provides a set of blowup equations for Wilson loop operators. We explain how to formulate the blowup equations and solve them to compute the partition functions of Wilson loop operators. We test this idea by explicitly calculating the Wilson loop partition functions in various 5d/6d field theories and comparing them against known results and expected dualities.
A
bstract
In this paper we study compactifications of ADE type conformal matter,
N
M5 branes probing
ADE
singularity, on torus with flux for global symmetry. We systematically construct the four ...dimensional theories by first going to five dimensions and studying interfaces. We claim that certain interfaces can be associated with turning on flux in six dimensions. The interface models when compactified on a circle comprise building blocks for constructing four dimensional models associated to flux compactifications of six dimensional theories on a torus. The theories in four dimensions turn out to be quiver gauge theories and the construction implies many interesting cases of IR symmetry enhancements and dualities of such theories.
A
bstract
We propose a systematic approach to computing the BPS spectrum of any 5d/6d supersymmetric quantum field theory in Coulomb phases, which admits either gauge theory descriptions or geometric ...descriptions, based on the Nakajima-Yoshioka’s blowup equations. We provide a significant generalization of the blowup equation approach in terms of both properly quantized magnetic fluxes on the blowup
ℂ
̂
2
and the effective prepotential for 5d/6d field theories on the Omega background which is uniquely determined by the Chern-Simons couplings on their Coulomb branches. We employ our method to compute BPS spectra of all rank-1 and rank-2 5d Kaluza-Klein (KK) theories descending from 6d
N
= (1
,
0) superconformal field theories (SCFTs) compactified on a circle with/without twist. We also discuss various 5d SCFTs and KK theories of higher ranks, which include a few exotic cases such as new rank-1 and rank-2 5d SCFTs engineered with frozen singularity as well as the 5d SU(3)8 gauge theory currently having neither a brane web nor a smooth shrinkable geometric description. The results serve as non-trivial checks for a large class of non-trivial dualities among 5d theories and also as independent evidences for the existence of certain exotic theories.
Defects and quantum Seiberg-Witten geometry Bullimore, Mathew; Kim, Hee-Cheol; Koroteev, Peter
The journal of high energy physics,
05/2015, Letnik:
2015, Številka:
5
Journal Article
Recenzirano
Odprti dostop
A
bstract
We study the Nekrasov partition function of the five dimensional U(
N
) gauge theory with maximal supersymmetry on ℝ
4
×
S
1
in the presence of codimension two defects. The codimension two ...defects can be described either as monodromy defects, or by coupling to a certain class of three dimensional quiver gauge theories on ℝ
2
×
S
1
. We explain how these computations are connected with both classical and quantum integrable systems. We check, as an expansion in the instanton number, that the aforementioned partition functions are eigenfunctions of an elliptic integrable many-body system, which quantizes the Seiberg-Witten geometry of the five-dimensional gauge theory.
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