Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
2806 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6449 | 0.8469 | 0.7615 | [M:[0.985, 1.0449, 0.985, 0.7379, 0.7678, 0.7846], q:[0.7463, 0.2687], qb:[0.4859, 0.4692], phi:[0.5075]] | [M:[[4, 4], [-12, -12], [4, 4], [-5, 7], [-13, -1], [-1, -13]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -3 | 2*t^2.214 + t^2.264 + t^2.304 + t^2.354 + 2*t^2.955 + 2*t^3.135 + t^3.736 + t^4.338 + t^4.388 + 3*t^4.427 + t^4.438 + 2*t^4.478 + 2*t^4.517 + t^4.528 + 3*t^4.567 + t^4.607 + t^4.618 + t^4.657 + t^4.707 + 4*t^5.169 + 2*t^5.219 + 2*t^5.259 + 2*t^5.309 + 3*t^5.348 + t^5.399 + 2*t^5.438 + 2*t^5.488 + 2*t^5.91 + t^5.95 - 3*t^6. + t^6.04 - t^6.05 + 3*t^6.09 + 3*t^6.269 + 2*t^6.551 + t^6.601 + 5*t^6.641 + t^6.652 + 5*t^6.691 + t^6.702 + 3*t^6.731 + 2*t^6.741 + 3*t^6.781 + 2*t^6.792 + 2*t^6.821 + t^6.831 + 4*t^6.871 + t^6.881 + t^6.911 + 2*t^6.921 + t^6.961 + t^6.971 + t^7.011 + t^7.061 + t^7.293 + t^7.343 + 5*t^7.382 + t^7.393 + t^7.433 + 5*t^7.472 + t^7.483 + 4*t^7.522 + 6*t^7.562 + 2*t^7.573 + 3*t^7.612 + 3*t^7.652 + 3*t^7.662 + 4*t^7.702 + 2*t^7.742 + t^7.752 + 2*t^7.792 + 2*t^7.842 - t^8.034 + t^8.074 - t^8.084 + 2*t^8.124 + t^8.164 - 5*t^8.214 + t^8.253 - 3*t^8.264 - t^8.314 + t^8.343 - 4*t^8.354 + 3*t^8.393 - t^8.404 + 3*t^8.443 + 4*t^8.483 + t^8.533 + 3*t^8.573 + 3*t^8.623 + t^8.675 + t^8.725 + 3*t^8.765 + t^8.775 + t^8.815 + t^8.826 + 7*t^8.855 + 2*t^8.865 + t^8.876 + 5*t^8.905 + t^8.915 + 5*t^8.945 - 6*t^8.955 + t^8.966 + 6*t^8.995 - t^4.522/y - t^6.736/y - t^6.826/y - t^6.876/y + t^7.388/y + t^7.427/y + t^7.478/y + (2*t^7.517)/y + (4*t^7.567)/y + t^7.618/y + (5*t^8.169)/y + (3*t^8.219)/y + (2*t^8.259)/y + (3*t^8.309)/y + (4*t^8.348)/y + (2*t^8.399)/y + (2*t^8.438)/y + (2*t^8.488)/y + t^8.91/y + t^8.95/y - t^4.522*y - t^6.736*y - t^6.826*y - t^6.876*y + t^7.388*y + t^7.427*y + t^7.478*y + 2*t^7.517*y + 4*t^7.567*y + t^7.618*y + 5*t^8.169*y + 3*t^8.219*y + 2*t^8.259*y + 3*t^8.309*y + 4*t^8.348*y + 2*t^8.399*y + 2*t^8.438*y + 2*t^8.488*y + t^8.91*y + t^8.95*y | (2*g2^7*t^2.214)/g1^5 + (g1^7*t^2.264)/g2^5 + t^2.304/(g1^13*g2) + t^2.354/(g1*g2^13) + 2*g1^4*g2^4*t^2.955 + (2*t^3.135)/(g1^12*g2^12) + (g2^5*t^3.736)/g1^7 + (g2^22*t^4.338)/g1^2 + g1^10*g2^10*t^4.388 + (3*g2^14*t^4.427)/g1^10 + (g1^22*t^4.438)/g2^2 + 2*g1^2*g2^2*t^4.478 + (2*g2^6*t^4.517)/g1^18 + (g1^14*t^4.528)/g2^10 + (3*t^4.567)/(g1^6*g2^6) + t^4.607/(g1^26*g2^2) + (g1^6*t^4.618)/g2^18 + t^4.657/(g1^14*g2^14) + t^4.707/(g1^2*g2^26) + (4*g2^11*t^5.169)/g1 + (2*g1^11*t^5.219)/g2 + (2*g2^3*t^5.259)/g1^9 + (2*g1^3*t^5.309)/g2^9 + (3*t^5.348)/(g1^17*g2^5) + t^5.399/(g1^5*g2^17) + (2*t^5.438)/(g1^25*g2^13) + (2*t^5.488)/(g1^13*g2^25) + 2*g1^8*g2^8*t^5.91 + (g2^12*t^5.95)/g1^12 - 3*t^6. + (g2^4*t^6.04)/g1^20 - (g1^12*t^6.05)/g2^12 + (3*t^6.09)/(g1^8*g2^8) + (3*t^6.269)/(g1^24*g2^24) + (2*g2^29*t^6.551)/g1^7 + g1^5*g2^17*t^6.601 + (5*g2^21*t^6.641)/g1^15 + g1^17*g2^5*t^6.652 + (5*g2^9*t^6.691)/g1^3 + (g1^29*t^6.702)/g2^7 + (3*g2^13*t^6.731)/g1^23 + (2*g1^9*t^6.741)/g2^3 + (3*g2*t^6.781)/g1^11 + (2*g1^21*t^6.792)/g2^15 + (2*g2^5*t^6.821)/g1^31 + (g1*t^6.831)/g2^11 + (4*t^6.871)/(g1^19*g2^7) + (g1^13*t^6.881)/g2^23 + t^6.911/(g1^39*g2^3) + (2*t^6.921)/(g1^7*g2^19) + t^6.961/(g1^27*g2^15) + (g1^5*t^6.971)/g2^31 + t^7.011/(g1^15*g2^27) + t^7.061/(g1^3*g2^39) + g1^2*g2^26*t^7.293 + g1^14*g2^14*t^7.343 + (5*g2^18*t^7.382)/g1^6 + g1^26*g2^2*t^7.393 + g1^6*g2^6*t^7.433 + (5*g2^10*t^7.472)/g1^14 + (g1^18*t^7.483)/g2^6 + (4*t^7.522)/(g1^2*g2^2) + (6*g2^2*t^7.562)/g1^22 + (2*g1^10*t^7.573)/g2^14 + (3*t^7.612)/(g1^10*g2^10) + (3*t^7.652)/(g1^30*g2^6) + (3*g1^2*t^7.662)/g2^22 + (4*t^7.702)/(g1^18*g2^18) + (2*t^7.742)/(g1^38*g2^14) + t^7.752/(g1^6*g2^30) + (2*t^7.792)/(g1^26*g2^26) + (2*t^7.842)/(g1^14*g2^38) - g1^11*g2^23*t^8.034 + (g2^27*t^8.074)/g1^9 - g1^23*g2^11*t^8.084 + 2*g1^3*g2^15*t^8.124 + (g2^19*t^8.164)/g1^17 - (5*g2^7*t^8.214)/g1^5 + (g2^11*t^8.253)/g1^25 - (3*g1^7*t^8.264)/g2^5 - (g1^19*t^8.314)/g2^17 + (g2^3*t^8.343)/g1^33 - (4*t^8.354)/(g1*g2^13) + (3*t^8.393)/(g1^21*g2^9) - (g1^11*t^8.404)/g2^25 + (3*t^8.443)/(g1^9*g2^21) + (4*t^8.483)/(g1^29*g2^17) + t^8.533/(g1^17*g2^29) + (3*t^8.573)/(g1^37*g2^25) + (3*t^8.623)/(g1^25*g2^37) + (g2^44*t^8.675)/g1^4 + g1^8*g2^32*t^8.725 + (3*g2^36*t^8.765)/g1^12 + g1^20*g2^20*t^8.775 + g2^24*t^8.815 + g1^32*g2^8*t^8.826 + (7*g2^28*t^8.855)/g1^20 + 2*g1^12*g2^12*t^8.865 + (g1^44*t^8.876)/g2^4 + (5*g2^16*t^8.905)/g1^8 + g1^24*t^8.915 + (5*g2^20*t^8.945)/g1^28 - 6*g1^4*g2^4*t^8.955 + (g1^36*t^8.966)/g2^12 + (6*g2^8*t^8.995)/g1^16 - t^4.522/(g1^2*g2^2*y) - (g2^5*t^6.736)/(g1^7*y) - t^6.826/(g1^15*g2^3*y) - t^6.876/(g1^3*g2^15*y) + (g1^10*g2^10*t^7.388)/y + (g2^14*t^7.427)/(g1^10*y) + (g1^2*g2^2*t^7.478)/y + (2*g2^6*t^7.517)/(g1^18*y) + (4*t^7.567)/(g1^6*g2^6*y) + (g1^6*t^7.618)/(g2^18*y) + (5*g2^11*t^8.169)/(g1*y) + (3*g1^11*t^8.219)/(g2*y) + (2*g2^3*t^8.259)/(g1^9*y) + (3*g1^3*t^8.309)/(g2^9*y) + (4*t^8.348)/(g1^17*g2^5*y) + (2*t^8.399)/(g1^5*g2^17*y) + (2*t^8.438)/(g1^25*g2^13*y) + (2*t^8.488)/(g1^13*g2^25*y) + (g1^8*g2^8*t^8.91)/y + (g2^12*t^8.95)/(g1^12*y) - (t^4.522*y)/(g1^2*g2^2) - (g2^5*t^6.736*y)/g1^7 - (t^6.826*y)/(g1^15*g2^3) - (t^6.876*y)/(g1^3*g2^15) + g1^10*g2^10*t^7.388*y + (g2^14*t^7.427*y)/g1^10 + g1^2*g2^2*t^7.478*y + (2*g2^6*t^7.517*y)/g1^18 + (4*t^7.567*y)/(g1^6*g2^6) + (g1^6*t^7.618*y)/g2^18 + (5*g2^11*t^8.169*y)/g1 + (3*g1^11*t^8.219*y)/g2 + (2*g2^3*t^8.259*y)/g1^9 + (3*g1^3*t^8.309*y)/g2^9 + (4*t^8.348*y)/(g1^17*g2^5) + (2*t^8.399*y)/(g1^5*g2^17) + (2*t^8.438*y)/(g1^25*g2^13) + (2*t^8.488*y)/(g1^13*g2^25) + g1^8*g2^8*t^8.91*y + (g2^12*t^8.95*y)/g1^12 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
3328 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6369 | 0.8365 | 0.7614 | [M:[0.9529, 1.1414, 0.9529, 0.712, 0.8063, 0.8586], q:[0.7382, 0.3089], qb:[0.4555, 0.4031], phi:[0.5236]] | 2*t^2.136 + t^2.293 + t^2.419 + t^2.576 + 2*t^2.859 + 2*t^3.424 + t^3.707 + t^3.99 + t^4.147 + 3*t^4.272 + t^4.304 + 2*t^4.429 + 2*t^4.555 + t^4.586 + 3*t^4.712 + t^4.838 + t^4.869 + 5*t^4.995 + 3*t^5.152 + 2*t^5.278 + 2*t^5.435 + 3*t^5.56 + 3*t^5.717 + 3*t^5.843 - t^6. - t^4.571/y - t^4.571*y | detail |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
1794 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6282 | 0.8184 | 0.7676 | [M:[0.9772, 1.0683, 0.9772, 0.7228, 0.7684], q:[0.7443, 0.2785], qb:[0.4873, 0.4444], phi:[0.5114]] | 2*t^2.169 + t^2.297 + t^2.305 + 2*t^2.932 + 2*t^3.205 + t^3.566 + t^3.703 + t^4.2 + t^4.329 + 3*t^4.337 + t^4.458 + 2*t^4.466 + 2*t^4.474 + t^4.595 + t^4.602 + t^4.61 + 4*t^5.1 + 2*t^5.229 + 2*t^5.237 + 3*t^5.373 + t^5.502 + 2*t^5.51 + 2*t^5.735 + 3*t^5.863 + 2*t^5.871 - 3*t^6. - t^4.534/y - t^4.534*y | detail |