On nonsupersymmetric C4/ZN, tachyons, terminal singularities and flips

Narayan, K.

doi:10.1007/jhep03(2010)019

Cited by 5 publications

(5 citation statements)

References 80 publications

(241 reference statements)

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“…Forming brane-antibrane pairs, and multi-trace deformations destabilize the vacua [17], [26] as well. In addition, and more relevant to the case, it is argued in [30] that 6 To clarify more and hint the point why we mention both branes and anti-branes, we note that from the second and third ansatzs we have indeed singlet (under the internal isometry group) pseudoscalars in the bulk. Therefore, we may think of the ansatzs as associated with some probe anti-M-branes added on the original (M2-branes) background or as some probe M-branes added to the skew-whiffed (anti-M2-branes) background and then, the resultant theory is for anti-M2-branes.…”

Section: Discussion and Commentsmentioning

confidence: 85%

Dual localized objects from m-branes over ${{AdS}}_{4}\times {S}^{7}/{Z}_{k}$

Naghdi¹

2015

Class. Quantum Grav.

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We consider a few ansatzs for the four and seven forms of 11-dimensional supergravity over AdS 4 ×S 7 /Z k while try to keep the geometry unchanged. From the 4-form equations, we arrive at some massless scalars and pseudoscalars in the bulk of Euclidean AdS 4 that match with some boundary ∆ + = 3 operators. Indeed, the main objects are instantons and domain walls as the fully and partially localized objects in the external space, respectively. The latter comes from an (anti)M5-brane wrapping partly around three internal directions similar to the fuzzy S 3 /Z k solutions. Except for the first solutions of adding some anti-M2-branes|(M2-branes) to the original M2-branes, the objects backreact on the geometry although small|(break all supersymmetries and destabilize the vacua). The dual 3-dimensional field theory solutions are got by the skew-whiffing 8 s → 8 v and 8 s → 8 c for the scalars and pseudoscalars respectively, while the gauge fields are used mainly for the k = 1, 2 cases where the R-symmetry and supersymmetry are enhanced as SU(4) × U(1) → SO(8) and N = 6 → N = 8 respectively, and also for pseudoscalars. Further, for the pseudoscalars we propose a special boundary deformation, with a fermion field, that is equivalent to a multi-trace deformation already studied for the bulk m 2 = −2 conformally coupled pseudoscalar. *

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Section: Discussion and Commentsmentioning

confidence: 85%

Dual localized objects from m-branes over ${{AdS}}_{4}\times {S}^{7}/{Z}_{k}$

Naghdi¹

2015

Class. Quantum Grav.

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“…Now, the nonsupersymmetric instanton solution here, where an anti-D4-brane is inserted into the background of many D2-branes in the probe approximation, appears to be similar to such a tachyon mode. It is notable that the systems including tachyons generally show the "flip transitions" (from D2-branes to anti-D2-branes here) and that, in C 4 /Z k , the flips arise because of the blowups and the blowdowns of the cycles (including the weighted CP 1 and CP 2 ) with different dimensions [32]. Therefore, in general, an analysis of the quantum corrections generated by instantons is required to determine whether the squared masses of the fields go up (leading to stable solutions) or go down (leading to unstable solutions) so that some kinds of condensations, which destabilize the vacuum, may occur for the latter.…”

Section: Summary and Further Commentsmentioning

confidence: 87%

New instantons inAdS4/CFT3from D4-branes wrapping some ofCP3

Naghdi

2013

Phys. Rev. D

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With use of a 6-form field strength of ten-dimensional type IIA supergravity over AdS 4 × CP 3 , when S 7 /Z k is considered as a S 1 Hopf fibration on CP 3 , we earn a fully localized solution in the bulk of Euclideanized AdS 4 . Indeed, this object appears in the external space because of wrapping a D4(M5)-brane over some parts of the respective internal spaces. Interestingly, this supersymmetry breaking SU(4) × U(1)-singlet mode exists in already known spectra when one uses the 8 c gravitino representation of SO(8). To adjust the boundary theory, we should swap the original 8 s and 8 c representations for supercharges and fermions in the Aharony-Bergman-Jafferis-Maldacena model. The procedure could later be interpreted as adding an anti-D4(M5)-brane to the prime N = 6 membrane theory resulting in a N = 0 antimembrane theory while other symmetries are preserved. Then, according to the well-known state-operator correspondence rules, we find a proper dual operator with the conformal dimension of ∆ + = 3 that matches to the bulk massless pseudoscalar state. After that, by making use of some fitting ansatzs for the used matter fields, we arrive at an exact boundary solution and comment on the other related issues as well. * E-Mail: m.naghdi@mail.ilam.ac.ir

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“…For instance for quotients of C 2 by finite subgroups of GL(2, C) [11] 1 . In physics, the K-theory, i.e., the lattice of charges of B-branes, and the chiral rings have been studied using a GLSM approach for the different resolutions of C 2 /Z n singularities [14,15,16] and for other nonsupersymmetric orbifolds [17,18,19,20,21].…”

Section: Rg Flow: Fi Runsmentioning

confidence: 99%

“…The mathematical references [11,12,13] deals with the map between categories while references [14,15,16,17,18,19,20,21] mainly focus on the projection to K-theory. In the former case the picture of transport of B-branes along the moduli space is lost and in the latter case, the analysis is limited only to K-theory.…”

Section: Rg Flow: Fi Runsmentioning

confidence: 99%

Brane transport in anomalous (2,2) models and localization

Clingempeel¹,

Floch²,

Romo³

2018

Preprint

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We study B-branes in two-dimensional N = (2, 2) anomalous models, and their behaviour as we vary bulk parameters in the quantum Kähler moduli space. We focus on the case of (2, 2) theories defined by abelian gauged linear sigma models (GLSM). We use the hemisphere partition function as a guide to find how B-branes split in the IR into components supported on Higgs, mixed and Coulomb branches: this generalizes the band restriction rule of Herbst-Hori-Page to anomalous models.As a central example, we work out in detail the case of GLSMs for Hirzebruch-Jung resolutions of cyclic surface singularities. In these non-compact models we explain how to compute and regularize the hemisphere partition function for a brane with compact support, and check that its Higgs branch component explicitly matches with the geometric central charge of an object in the derived category.

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On nonsupersymmetric C4/ZN, tachyons, terminal singularities and flips

Cited by 5 publications

References 80 publications

Dual localized objects from m-branes over ${{AdS}}_{4}\times {S}^{7}/{Z}_{k}$

Dual localized objects from m-branes over ${{AdS}}_{4}\times {S}^{7}/{Z}_{k}$

New instantons inAdS4/CFT3from D4-branes wrapping some ofCP3

Brane transport in anomalous (2,2) models and localization

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