scholarly journals Local anomaly cancellation, M-theory orbifolds and phase-transitions

2000 ◽  
Vol 589 (1-2) ◽  
pp. 269-291 ◽  
Author(s):  
Michael Faux ◽  
Dieter Lüst ◽  
Burt A. Ovrut
2003 ◽  
Vol 18 (19) ◽  
pp. 3273-3314 ◽  
Author(s):  
Michael Faux ◽  
Dieter Lüst ◽  
Burt A. Ovrut

We analyze the structure of heterotic M-theory on K3 orbifolds by presenting a comprehensive sequence of M-theoretic models constructed on the basis of local anomaly cancellation. This is facilitated by extending the technology developed in our previous papers to allow one to determine "twisted" sector states in nonprime orbifolds. These methods should naturally generalize to four-dimensional models, which are of potential phenomenological interest.


1999 ◽  
Vol 554 (1-2) ◽  
pp. 437-483 ◽  
Author(s):  
Michael Faux ◽  
Dieter Lüst ◽  
Burt A. Ovrut

2003 ◽  
Vol 18 (17) ◽  
pp. 2995-3013 ◽  
Author(s):  
Michael Faux ◽  
Dieter Lüst ◽  
Burt A. Ovrut

It is shown that the twisted sector spectrum, as well as the associated Chern–Simons interactions, can be determined on M-theory orbifold fixed planes that do not admit gravitational anomalies. This is demonstrated for the seven-planes arising within the context of an explicit R6 × S1/Z2 × T4/Z2 orbifold, although the results are completely general. Local anomaly cancellation in this context is shown to require fractional anomaly data that can only arise from a twisted sector on the seven-planes, thus determining the twisted spectrum up to a small ambiguity. These results open the door to the construction of arbitrary M-theory orbifolds, including those containing fixed four-planes which are of phenomenological interest.


Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 723
Author(s):  
Burt Ovrut

The compactification from the 11-dimensional Horava-Witten orbifold to 5-dimensional heterotic M-theory on a Schoen Calabi-Yau threefold is reviewed, as is the specific S U ( 4 ) vector bundle leading to the “heterotic standard model” in the observable sector. A generic formalism for a consistent hidden sector gauge bundle, within the context of strongly coupled heterotic M-theory, is presented. Anomaly cancellation and the associated bulk space 5-branes are discussed in this context. The further compactification to a 4-dimensional effective field theory on a linearized BPS double domain wall is then presented to order κ 11 4 / 3 . Specifically, the generic constraints required for anomaly cancellation and by the linearized domain wall solution, restrictions imposed by the vanishing of the D-terms and, finally, the constraints imposed by the necessity for positive, perturbative squared gauge couplings to this order are presented in detail.


1998 ◽  
Vol 13 (03) ◽  
pp. 239-252 ◽  
Author(s):  
W. A. SABRA

An algorithm for constructing general static black hole configuration for the theory of N=2, d= 5 supergravity coupled to an arbitrary number of Abelain vector multiplets is given. The underlying very special geometry structure plays a major role in this construction. From the viewpoint of M-theory compactified on a Calabi–Yau threefold, these black holes are identified with BPS winding states of the membrane around two-cycles of the Calabi–Yau threefold, and thus are of importance in the probing of the phase transitions in the moduli space of M-theory compactified on a Calabi–Yau threefold.


1997 ◽  
Vol 392 (3-4) ◽  
pp. 332-334 ◽  
Author(s):  
S.P. de Alwis

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