Ground states of S-duality twisted N = 4 super Yang-Mills theory

Ganor, Ori; Hong, Yoon Pyo; Tan, Han-Shue

doi:10.1007/jhep03(2011)099

Cited by 20 publications

(66 citation statements)

References 78 publications

(169 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…From this perspective we recover the fact that the quotient is only well defined for the values of τ and k that we found in field theory (see 4 This kind of quotient was previously discussed in [5] (see also [10] for a similar construction in the case of compactification on a circle). 5 The F-theory limit consists of three steps: first reduce along one of the circles in the torus which gives Type IIA with N D2 branes on R 1,2 × C 3 × S 1 T , second T-dualize along the remaining circle arriving at Type IIB with N D3 branes on R 1,2 ×S 1 T × C 3 .…”

Section: String Theory Embeddingsupporting

confidence: 77%

$N=3$ four dimensional field theories

García-Etxebarria¹,

Regalado²

2017

Proceedings of Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2016)

View full text Add to dashboard Cite

We briefly review a class of four dimensional N = 3 field theories constructed by taking a quotient of N = 4 SYM with gauge group U(N). The quotient involves a discrete symmetry that only exists for specific, order one, values of the coupling constant, so the resulting theories are intrinsically strongly coupled. These theories admit a simple realization in string theory as the worldvolume theory of a stack of D3 branes probing a generalized orientifold plane, or S-fold. Their holographic dual is given by a non-trivial F-theory fibration over AdS 5 × S 5 /Z k which is weakly curved but with the string coupling frozen at an order one value.

show abstract

Section: String Theory Embeddingsupporting

confidence: 77%

$N=3$ four dimensional field theories

García-Etxebarria¹,

Regalado²

2017

Proceedings of Corfu Summer Institute 2016 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2016)

View full text Add to dashboard Cite

show abstract

“…The authors thank Nati Seiberg for useful comments on a draft of this Letter. Y. T. also thanks Yu Nakayama for pointing out the relevance of papers by Ganor and collaborators [3][4][5][6]…”

Section: Acknowledgmentsmentioning

confidence: 99%

Anomaly of the Electromagnetic Duality of Maxwell Theory

2019

View full text Add to dashboard Cite

We consider the (3+1)-dimensional Maxwell theory in the situation where going around nontrivial paths in the spacetime involves the action of the duality transformation exchanging the electric field and the magnetic field, as well as its SL(2, Z) generalizations. We find that the anomaly of this system in a particular formulation is 56 times that of a Weyl fermion. This result is derived in two independent ways: one is by using the bulk symmetry protected topological phase in 4+1 dimensions characterizing the anomaly, and the other is by considering the properties of a (5+1)-dimensional superconformal field theory known as the E-string theory. This anomaly of the Maxwell theory plays an important role in the consistency of string theory.

show abstract

“…We find that (3.11) is also valid in this case. Then, (2.19) implies 16) and (2.20) with µ = i = 2, 3 can be written as…”

Section: From (223) We Obtain the Componentsmentioning

confidence: 99%

“…We thank Takahiro Nishinaka, Shuichi Yokoyama and Ki-Myeong Lee for discussion. We appreciate useful discussions during the workshops "Geometry, Duality and Strings" YITP-X- 16…”

Section: Acknowledgementsmentioning

confidence: 99%

Supersymmetric gauge theory with space-time-dependent couplings

Choi

Fernandez-Melgarejo

Sugimoto

2018

Progress of Theoretical and Experimental Physics

View full text Add to dashboard Cite

We study deformations of N = 4 supersymmetric Yang-Mills theory with couplings and masses depending on space-time. The conditions to preserve part of the supersymmetry are derived and a lot of solutions of these conditions are found. The main example is the case with ISO(1, 1) × SO(3) × SO(3) symmetry, in which couplings, as well as masses and the theta parameter, can depend on two spatial coordinates. In the case in which ISO(1, 1) is enhanced to ISO(1, 2), it reproduces the supersymmetric Janus configuration found by Gaiotto and Witten. When SO(3) × SO(3) is enhanced to SO(6), it agrees with the world-volume theory of D3-branes embedded in F-theory (a background with 7-branes in type IIB string theory). We have also found the general solution of the supersymmetry conditions for the cases with ISO(1, 1)×SO(2)×SO(4) symmetry. Cases with time dependent couplings and/or masses are also considered. *

show abstract

Ground states of S-duality twisted N = 4 super Yang-Mills theory

Cited by 20 publications

References 78 publications

$N=3$ four dimensional field theories

$N=3$ four dimensional field theories

Anomaly of the Electromagnetic Duality of Maxwell Theory

Supersymmetric gauge theory with space-time-dependent couplings

Contact Info

Product

Resources

About