RECORD
New N=1 dualities from orientifold transitions - Part I: Field Theory
High Energy Physics - Theory · Submitted 29 Oct 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We report on a broad new class of N=1 gauge theory dualities which relate the worldvolume gauge theories of D3 branes probing different orientifolds of the same Calabi-Yau singularity.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We report on a broad new class of N=1 gauge theory dualities which relate the worldvolume gauge theories of D3 branes probing different orientifolds of the same Calabi-Yau singularity. In this paper, we focus on the simplest example of these new dualities, arising from the orbifold singularity C^3/Z_3. We present extensive checks of the duality, including anomaly matching, partial moduli space matching, matching of discrete symmetries, and matching of the superconformal indices between the proposed duals. We then present a related duality for the dP_1 singularity, as well as dualities for the F_0 and Y^{4,0} singularities, illustrating the breadth of this new class of dualities. In a companion paper, we show that certain infinite classes of geometries which include C^3/Z_3 and dP_1 all exhibit such dualities, and argue that their ten-dimensional origin is the SL(2,Z) self-duality of type IIB string theory.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We report on a broad new class of N=1 gauge theory dualities which relate the worldvolume gauge theories of D3 branes probing different orientifolds of the same Calabi-Yau singularity. | contribution 0.96 | 0.90 | 0.82 | asserted 1.00 |
| s1 | In this paper, we focus on the simplest example of these new dualities, arising from the orbifold singularity C^3/Z_3. | contribution 0.75 | 0.59 | 0.06 | asserted 0.97 |
| s2 | We present extensive checks of the duality, including anomaly matching, partial moduli space matching, matching of discrete symmetries, and matching of the superconformal indices between the proposed duals. | contribution 0.58 | 0.95 | 0.11 | asserted 1.00 |
| s3 | We then present a related duality for the dP_1 singularity, as well as dualities for the F_0 and Y^{4,0} singularities, illustrating the breadth of this new class of dualities. | contribution 0.72 | 0.92 | 0.12 | asserted 1.00 |
| s4 | In a companion paper, we show that certain infinite classes of geometries which include C^3/Z_3 and dP_1 all exhibit such dualities, and argue that their ten-dimensional origin is the SL(2,Z) self-duality of type IIB string theory. | future work 0.87 | 0.55 | 0.16 | asserted 0.98 |
What was examined, and what was not
- arXiv listing abstract v2
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We report on a broad new class of N=1 gauge theory dualities which relate the worldvolume gauge theories of D3 branes probing different orientifolds of the same Calabi-Yau singularity. In this paper, we focus on the simplest example of these new dualities, arising from the orbifold singularity C^3/Z_3. We present extensive checks of the duality, including anomaly matching, partial moduli space matching, matching of discrete symmetries, and matching of the superconformal indices between the proposed duals. We then present a related duality for the dP_1 singularity, as well as dualities for the F_0 and Y^{4,0} singularities, illustrating the breadth of this new class of dualities. In a companion paper, we show that certain infinite classes of geometries which include C^3/Z_3 and dP_1 all exhibit such dualities, and argue that their ten-dimensional origin is the SL(2,Z) self-duality of type IIB string theory.
Human review
References
How the literature uses it
26 arXiv papers cite this in 112 sentences
Papers citing it · 81 sentences without a confident label
Builds on it 3 papers
-
Building on the field theory checks performed in [ref] , in this paper we argued that the brane configurations corresponding to the dual theories of [ref] source discrete torsions for the NSNS and RR two-forms related by S-duality.
New N=1 dualities from orientifold transitions - Part II: String Theory · Conclusions · 0.93
-
Combining the strongly-coupled sector with known ingredients, we obtain a list of theories describing the $dP_1$ orientifold which is in complete agreement with the discrete torsion classification, and which exhibits the S-dualities predicted by that classification, including but generalizing the $dP_1$ duality found in [ref] .
Strongly coupled phases of $\mathcal{N}=1$ S-duality · Introduction · 0.81
-
Here we will study the consequences of $S$-duality for more general $D3$ brane configurations, with explicit examples from branes near singularties based on the supersymmetric duality of [ref] .
S-duality of nonsupersymmetric gauge theories · Introduction · 0.91
Uses its method or tool 4 papers
-
More precisely, we use the deconfinement method of [ref] .
S-confinements from deconfinements · Introduction and summary · 1.00
-
In view of the ALE case, and following the symplectic instanton case in section [ref], we construct the theories whose instanton branch describes orthogonal instantons on $ℂP^2/ℤ_n$ by first orbifolding and then orientifolding the unitary instanton case following the rules in [ref] and in [ref] .
Aspects of the moduli space of instantons on $\mathbb{C}P^2$ and its orbifolds · Constructing $SO(N)$ instantons on $ℂP^2/ℤ_n$ · 0.94
-
This leads to an $(2N) ×(N)^2$ gauge theory that, following the procedure given in [ref] , can be orientifolded as indicated by the dashed line in figure [ref].
New N=1 dualities from orientifold transitions - Part II: String Theory · Field theory · 0.96
Compares with it 3 papers
-
Denoting these phases by $^n$, $^n$, and $^n$ with $n = (-1)^N$, we conclude that $(^-, ^-, ^-)$ is indeed an $(2,)$ sextet, matching the triality observed in [ref] .[Since $Q_D3 = N/2$ for all three phases, the relation between the ranks is trivial.] This is analogous to the $_0$ sextet $(^-, ^-, ^-)$, except that in this case $$ and $$ do not give isomorphic brane tilings, as the $D_4$ invariance of the $_0$ toric diagram is reduced to the Klein four-group, $_2 ×_2$.
S-duality in $\mathcal{N} = 1$ orientifold SCFTs · Real cone over $Y^4,0$Y40 · 0.81
-
Moreover, in the case of three NS5 branes, as for all isolated orbifold singularities, a higher multiplicity intersection is obviously impossible, in perfect agreement with the precise matching between the discrete torsion classification of orbifolds and their dual gauge theories obtained in [ref] .
Strongly coupled phases of $\mathcal{N}=1$ S-duality · Brane tilings and orientifolds · 0.92
-
The case $n=3$ reproduces the series of dual pairs studied in [ref] .
Unoriented Quivers with Flavour · S-dual quiver gauge theories · 0.85
Cites it as background 13 papers
-
We will now briefly review some of the results in [ref] , placing particular emphasis on those that are particularly important for our discussion.
Deconfining $\mathcal{N}=2$ SCFTs, or the Art of Brane Bending · Deconfinement for isolated $=1$N=1 orientifold SCFTs · 0.97
-
Orthogonal and symplectic gauge groups enter the game together with (anti)symmetric tensors or bi(anti)fundamentals of the unitary gauge group factors, giving rise to `unoriented quiver theories' [ref] .
$\mathcal{N}=1$ conformal dualities from unoriented chiral quivers · Introduction · 0.93
-
The notion of S-duality for $𝒩=1$ oriented quivers has been previously discussed in [ref] .
Conformal S-dualities from O-planes · Conclusions · 0.99
What it cites · 46 sentences without a confident label
Uses the method or tool of 4 papers
-
In order to actually compute [ref] we follow the prescription in [ref] , which gives a systematic way of computing the superconformal index in terms of the fields in the weakly coupled Lagrangian description of the theory, when one is available.
Calculating the Superconformal Index and Seiberg Duality · Matching of superconformal indices · 1.00
-
It is also convenient to introduce, as in [ref] , $ρ_n = N∫ dθ ρ e^inθ$.
Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories · Large $N$N · 0.83
-
An explicit computation to check that $W$ is invariant under the involution can be tedious, and for toric singularities the problem is well suited to brane tiling methods, as originally formulated in [ref] and reviewed in [ref] .
Dimers and Orientifolds · General Quiverfolds · 0.86
Compares with 2 papers
-
One point of mathematical interest is that, since the physical process behind our conjectured duality seems to be qualitatively different from ordinary Seiberg duality (this is particularly clear when formulated in string theory [ref] ), one may expect that [ref] is a new fundamental identity between elliptic hypergeometric functions, independent from the one proven by Rains [ref] .
New N=1 dualities from orientifold transitions - Part II: String Theory · A conjectured identity for elliptic hypergeometric integrals · 0.93
-
Thus, the infrared dynamics are primary governed by $(6)$ (to leading order in $Λ_(6) ≪Λ_(2)$), which generates an ADS superpotential:[The same superpotential was obtained via a direct string computation in [ref] .] [equation] where $Ã$ is viewed as a $6×6$ matrix over $(6)×((2)×(3))$.
D-brane Instantons on the T^6/Z_3 orientifold · The $(6)×(2)$Sp(6)xSU(2) theory · 0.80
Cites as background 19 papers
-
Systematic tools for the construction of many examples are available [ref] , whereas very few examples have been studied in any detail (see for example [ref] ).
Gauge theories from D7-branes over vanishing 4-cycles · Introduction · 0.84
-
Systematic tools for the construction of many examples are available [ref] , whereas very few examples have been studied in any detail (see for example [ref] ).
Dimers and Orientifolds · Introduction · 0.84
-
We now consider the dual theory:[Reference [ref] discusses a similar theory in the context of dynamical supersymmetry breaking.] [equation] with the superpotential: [equation] As reviewed in [ref], taking $W →0$, the $$(5) gauge theory has an s-confined description: [equation] with the dynamical superpotential: [equation] where $I, J, …= 1, 2, 3$, and we omit an unimportant $(1)$ global symmetry under which only the additional singlet $Z$ is charged.
Hunting for Dynamical Supersymmetry Breaking in Theories That S-confine · Case study: the $(5)⟷(7)×(3)$SU(5) <-> SU(7)xSU(3) duality · 0.83
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.