Orientifold planes, type I Wilson lines and non-BPS D-branes

Hyakutake, Yoshifumi; Imamura, Yosuke; Sugimoto, Shigeki

doi:10.1088/1126-6708/2000/08/043

Cited by 41 publications

(87 citation statements)

References 19 publications

(34 reference statements)

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“…Therefore, there are two new components in the moduli space of perturbative string compactifications to 7 dimensions. We also give evidence against the existence of an O6 − ′ plane-a conclusion arrived at independently using different arguments in [6]. In dimensions below 7, our classification of orientifold configurations is no longer complete.…”

Section: Introductionmentioning

confidence: 67%

“…Restricting to states with w i equal to zero, the spectrum exhibited in eqs (6) and (7) is that of compactified gauge theory with holonomies parametrised by a i . We may take the a i used for a specific compactification of Yang-Mills theory as a starting point for discussing a similar compactification of heterotic string theory.…”

Section: Holonomy In String Theory I: Narain Compactificationmentioning

confidence: 99%

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Triples, fluxes, and strings

Boer¹,

Dijkgraaf²,

Morrison³

et al. 2000

Advances in Theoretical and Mathematical Physics

215

454

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We study string compactifications with sixteen supersymmetries. The moduli space for these compactifications becomes quite intricate in lower dimensions, partly because there are many different irreducible components. We focus primarily, but not exclusively, on compactifications to seven or more dimensions. These vacua can be realized in a number ways: the perturbative constructions we study include toroidal compactifications of the heterotic/type I strings, asymmetric orbifolds, and orientifolds. In addition, we describe less conventional M and F theory compactifications on smooth spaces. The last class of vacua considered are compactifications on singular spaces with non-trivial discrete fluxes.We find a number of new components in the string moduli space. Contained in some of these components are M theory compactifications with novel kinds of "frozen" singularities. We are naturally led to conjecture the existence of new dualities relating spaces with different singular geometries and fluxes. As our study of these vacua unfolds, we also learn about additional topics including: F theory on spaces without section, automorphisms of del Pezzo surfaces, and novel physics (and puzzles) from equivariant K-theory. Lastly, we comment on how the data we gain about the M theory three-form might be interpreted.

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Section: Introductionmentioning

confidence: 67%

Section: Holonomy In String Theory I: Narain Compactificationmentioning

confidence: 99%

Triples, fluxes, and strings

Boer¹,

Dijkgraaf²,

Morrison³

et al. 2000

Advances in Theoretical and Mathematical Physics

215

454

View full text Add to dashboard Cite

show abstract

“…Thus, we have that Q − 6 transforms as (3.11) and analogously for Q + 6 . Furthermore we have that Q ± 6 has charge ± 1 2 under the S-duality U(1) bundle (3.7) so we find that s k is given by 17) and under the combined action r k · s k only twelve supercharges survive for k > 2. Here we see again that it is crucial to include a non-trivial action under SL(2, Z) to preserve any supersymmetry.…”

Section: Jhep03(2016)083mentioning

confidence: 90%

“…How do we explain this distinction in the resulting projection without resorting to CFT language? One suggestive observation is that the O3 − and O3 + can be transformed into each other by dropping a NS5 wrapped on the nontrivial (twisted) two-cycle of RP 5 [16,17]. The NS5 brane and the fundamental string are electric-magnetic duals, so this suggests that the origin of the distinction, from the target space point of view, may come from an unsatisfied Dirac quantization condition on the F1/M2 worldvolume if we drop an even number of NS5/M5 branes on the O3 − plane.…”

Section: D3 Branes On the O3 Planementioning

confidence: 99%

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N = 3 $$ \mathcal{N}=3 $$ four dimensional field theories

García-Etxebarria

Regalado

2016

J. High Energ. Phys.

151

443

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We introduce a class of four dimensional field theories constructed by quotienting ordinary N = 4 U(N ) SYM by particular combinations of R-symmetry and SL(2, Z) automorphisms. These theories appear naturally on the worldvolume of D3 branes probing terminal singularities in F-theory, where they can be thought of as non-perturbative generalizations of the O3 plane. We focus on cases preserving only 12 supercharges, where the quotient gives rise to theories with coupling fixed at a value of order one. These constructions possess an unconventional large N limit described by a non-trivial F-theory fibration with base AdS 5 × (S 5 /Z k ). Upon reduction on a circle the N = 3 theories flow to well-known N = 6 ABJM theories.

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Brane tilings and their applications

Yamazaki

2008

Fortschritte der Physik

126

161

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We review recent developments in the theory of brane tilings and four-dimensional N = 1 supersymmetric quiver gauge theories. This review consists of two parts. In part I, we describe foundations of brane tilings, emphasizing the physical interpretation of brane tilings as fivebrane systems. In part II, we discuss application of brane tilings to AdS/CFT correspondence and homological mirror symmetry. More topics, such as orientifold of brane tilings, phenomenological model building, similarities with BPS solitons in supersymmetric gauge theories, are also briefly discussed. This paper is a revised version of the author's master's thesis submitted to

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Orientifold planes, type I Wilson lines and non-BPS D-branes

Cited by 41 publications

References 19 publications

Triples, fluxes, and strings

Triples, fluxes, and strings

N = 3 $$ \mathcal{N}=3 $$ four dimensional field theories

Brane tilings and their applications

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