Open/Closed String Dualities and Seiberg Duality from Geometric Transitions in M-theory

Abstract We construct the M-Theory lifts of type IIA orientifolds based on K3-fibred Calabi-Yau threefolds with compatible involutions. Such orientifolds are shown to lift to M-Theory on twisted connected sum G2 manifolds. Beautifully, the two building blocks forming the G2 manifold correspond to the open and closed string sectors. As an application, we show how to use such lifts to explicitly study open string moduli. Finally, we use our analysis to construct examples of G2 manifolds with different inequivalent TCS realizations.

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FOUR LECTURES ON THE GAUGE/GRAVITY CORRESPONDENCE

International Journal of Modern Physics A ◽

10.1142/s0217751x03016811 ◽

2003 ◽

Vol 18 (31) ◽

pp. 5647-5711 ◽

Cited By ~ 39

Author(s):

MATTEO BERTOLINI

Keyword(s):

Gauge Theory ◽

Riemann Surfaces ◽

Gauge Theories ◽

Open Problems ◽

Four Dimensions ◽

General Overview ◽

Geometric Transitions ◽

Supersymmetric Gauge ◽

Gauge Gravity ◽

M Theory

We review in a pedagogical manner some of the efforts aimed at extending the gauge/gravity correspondence to nonconformal supersymmetric gauge theories in four dimensions. After giving a general overview, we discuss in detail two specific examples: fractional D-branes on orbifolds and D-branes wrapped on supersymmetric cycles of Calabi–Yau spaces. We explore in particular which gauge theory information can be extracted from the corresponding supergravity solutions, and what the remaining open problems are. We also briefly explain the connection between these and other approaches, such as fractional branes on conifolds, branes suspended between branes, M5-branes on Riemann surfaces and M-theory on G2-holonomy manifolds, and discuss the role played by geometric transitions in all that.

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QUANTUM DESCRIPTION FOR THE DECAY OF NSNS BRANE–ANTIBRANE SYSTEMS

International Journal of Modern Physics A ◽

10.1142/s0217751x04017483 ◽

2004 ◽

Vol 19 (28) ◽

pp. 4861-4882

Author(s):

HONGSU KIM

Keyword(s):

Gauge Theory ◽

Tachyon Condensation ◽

Open String ◽

Quantum Description ◽

World Volume ◽

Poor Understanding ◽

String Dualities ◽

Quantum Interpretation ◽

M Theory

The stringy description for the instabilities in the RR charged [Formula: see text] pairs is now well understood in terms of the open string tachyon condensation. The quantum interpretation presumably via the stringy description for the instabilities in the NSNS-charged [Formula: see text] and [Formula: see text] pairs in IIA/IIB theories, however, has not been fully established yet. This would be partly because of the absence (for the [Formula: see text] case) or our relatively poor understanding (for the [Formula: see text] case) of their world-volume (gauge theory) dynamics. In the present work, using the well-known quantum description for instabilities in the RR-charged [Formula: see text] systems and in the M-theory brane–antibrane systems and invoking appropriate string dualities, the stringy nature of the instabilities in the NSNS-charged [Formula: see text] and [Formula: see text] systems both at strong and at weak couplings has been uncovered. For the annihilations to string vacua, the quantum, stringy interpretations are simple extensions of Sen's conjecture for those in RR-charged brane–antibrane systems.

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M theory realization of Seiberg Duality and monopole condensation

10.1063/1.1454408 ◽

2002 ◽

Author(s):

John E. Wang

Keyword(s):

Seiberg Duality ◽

M Theory

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GROUPOIDS, LOOP SPACES AND QUANTIZATION OF 2-PLECTIC MANIFOLDS

Reviews in Mathematical Physics ◽

10.1142/s0129055x13300057 ◽

2013 ◽

Vol 25 (03) ◽

pp. 1330005 ◽

Cited By ~ 13

Author(s):

CHRISTIAN SÄMANN ◽

RICHARD J. SZABO

Keyword(s):

String Theory ◽

Flux Compactifications ◽

Symplectic Manifolds ◽

Closed String ◽

Poisson Manifolds ◽

Quantum Geometry ◽

Loop Spaces ◽

M Theory

We describe the quantization of 2-plectic manifolds as they arise in the context of the quantum geometry of M-branes and non-geometric flux compactifications of closed string theory. We review the groupoid approach to quantizing Poisson manifolds in detail, and then extend it to the loop spaces of 2-plectic manifolds, which are naturally symplectic manifolds. In particular, we discuss the groupoid quantization of the loop spaces of ℝ3, 𝕋3and S3, and derive some interesting implications which match physical expectations from string theory and M-theory.

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