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 |
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55356 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6409 | 0.8002 | 0.8009 | [X:[1.6151], M:[0.3849, 0.6942, 1.1547, 0.8453, 1.2302, 0.7631, 0.6875], q:[0.842, 0.7731], qb:[0.4638, 0.3815], phi:[0.3849]] | [X:[[0, 1]], M:[[0, -1], [0, -7], [0, -3], [0, 3], [0, 2], [2, 0], [2, -5]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.063 + t^2.083 + t^2.289 + t^2.536 + t^3.444 + t^3.464 + t^3.671 + 2*t^3.691 + t^4.125 + t^4.145 + t^4.165 + t^4.352 + t^4.372 + t^4.579 + t^4.599 + t^4.619 + t^4.825 + t^4.845 + t^5.072 + t^5.507 + 2*t^5.527 + t^5.547 + 2*t^5.733 + 3*t^5.753 + t^5.773 + t^5.96 + 2*t^5.98 - 2*t^6. - t^6.02 + t^6.188 + t^6.207 + t^6.208 + t^6.227 + t^6.228 - t^6.247 + t^6.248 + t^6.415 + t^6.435 + t^6.455 + t^6.641 + 2*t^6.661 + t^6.681 + t^6.701 + t^6.868 + 2*t^6.888 + 2*t^6.908 + t^6.928 + 2*t^7.114 + 3*t^7.135 - t^7.175 + t^7.341 + 2*t^7.361 - 2*t^7.401 + t^7.569 + 2*t^7.589 + 2*t^7.609 - t^7.628 + t^7.629 + 2*t^7.796 + 4*t^7.816 + 2*t^7.836 + t^7.856 + 2*t^8.022 + 3*t^8.043 - t^8.063 - 3*t^8.083 - t^8.103 + t^8.249 + t^8.25 + 3*t^8.269 + t^8.271 - t^8.289 + t^8.291 - t^8.309 + t^8.311 - t^8.329 + t^8.331 + t^8.477 + t^8.496 + t^8.497 + t^8.516 + t^8.517 - 3*t^8.536 + t^8.537 - 2*t^8.556 + t^8.704 + 2*t^8.724 + t^8.743 + 2*t^8.744 + t^8.764 - 2*t^8.783 + t^8.784 + t^8.93 + 3*t^8.95 + 3*t^8.971 + 2*t^8.991 - t^4.155/y - t^6.217/y - t^6.237/y - t^6.444/y + t^7.145/y + t^7.352/y + t^7.372/y + t^7.599/y + t^7.619/y + t^7.825/y + t^7.865/y + t^8.072/y + t^8.092/y - t^8.28/y - t^8.3/y - t^8.32/y + t^8.527/y + t^8.547/y + t^8.733/y + (4*t^8.753)/y + (2*t^8.773)/y + t^8.96/y + (3*t^8.98)/y - t^4.155*y - t^6.217*y - t^6.237*y - t^6.444*y + t^7.145*y + t^7.352*y + t^7.372*y + t^7.599*y + t^7.619*y + t^7.825*y + t^7.865*y + t^8.072*y + t^8.092*y - t^8.28*y - t^8.3*y - t^8.32*y + t^8.527*y + t^8.547*y + t^8.733*y + 4*t^8.753*y + 2*t^8.773*y + t^8.96*y + 3*t^8.98*y | (g1^2*t^2.063)/g2^5 + t^2.083/g2^7 + g1^2*t^2.289 + g2^3*t^2.536 + (g1^2*t^3.444)/g2 + t^3.464/g2^3 + g1^2*g2^4*t^3.671 + 2*g2^2*t^3.691 + (g1^4*t^4.125)/g2^10 + (g1^2*t^4.145)/g2^12 + t^4.165/g2^14 + (g1^4*t^4.352)/g2^5 + (g1^2*t^4.372)/g2^7 + g1^4*t^4.579 + (g1^2*t^4.599)/g2^2 + t^4.619/g2^4 + g1^2*g2^3*t^4.825 + g2*t^4.845 + g2^6*t^5.072 + (g1^4*t^5.507)/g2^6 + (2*g1^2*t^5.527)/g2^8 + t^5.547/g2^10 + (2*g1^4*t^5.733)/g2 + (3*g1^2*t^5.753)/g2^3 + t^5.773/g2^5 + g1^4*g2^4*t^5.96 + 2*g1^2*g2^2*t^5.98 - 2*t^6. - t^6.02/(g1^2*g2^2) + (g1^6*t^6.188)/g2^15 + g1^2*g2^7*t^6.207 + (g1^4*t^6.208)/g2^17 + g2^5*t^6.227 + (g1^2*t^6.228)/g2^19 - (g2^3*t^6.247)/g1^2 + t^6.248/g2^21 + (g1^6*t^6.415)/g2^10 + (g1^4*t^6.435)/g2^12 + (g1^2*t^6.455)/g2^14 + (g1^6*t^6.641)/g2^5 + (2*g1^4*t^6.661)/g2^7 + (g1^2*t^6.681)/g2^9 + t^6.701/g2^11 + g1^6*t^6.868 + (2*g1^4*t^6.888)/g2^2 + (2*g1^2*t^6.908)/g2^4 + t^6.928/g2^6 + 2*g1^4*g2^3*t^7.114 + 3*g1^2*g2*t^7.135 - t^7.175/(g1^2*g2^3) + g1^4*g2^8*t^7.341 + 2*g1^2*g2^6*t^7.361 - (2*g2^2*t^7.401)/g1^2 + (g1^6*t^7.569)/g2^11 + (2*g1^4*t^7.589)/g2^13 + (2*g1^2*t^7.609)/g2^15 - (g2^7*t^7.628)/g1^2 + t^7.629/g2^17 + (2*g1^6*t^7.796)/g2^6 + (4*g1^4*t^7.816)/g2^8 + (2*g1^2*t^7.836)/g2^10 + t^7.856/g2^12 + (2*g1^6*t^8.022)/g2 + (3*g1^4*t^8.043)/g2^3 - (g1^2*t^8.063)/g2^5 - (3*t^8.083)/g2^7 - t^8.103/(g1^2*g2^9) + g1^6*g2^4*t^8.249 + (g1^8*t^8.25)/g2^20 + 3*g1^4*g2^2*t^8.269 + (g1^6*t^8.271)/g2^22 - g1^2*t^8.289 + (g1^4*t^8.291)/g2^24 - t^8.309/g2^2 + (g1^2*t^8.311)/g2^26 - t^8.329/(g1^2*g2^4) + t^8.331/g2^28 + (g1^8*t^8.477)/g2^15 + g1^4*g2^7*t^8.496 + (g1^6*t^8.497)/g2^17 + g1^2*g2^5*t^8.516 + (g1^4*t^8.517)/g2^19 - 3*g2^3*t^8.536 + (g1^2*t^8.537)/g2^21 - (2*g2*t^8.556)/g1^2 + (g1^8*t^8.704)/g2^10 + (2*g1^6*t^8.724)/g2^12 + g1^2*g2^10*t^8.743 + (2*g1^4*t^8.744)/g2^14 + (g1^2*t^8.764)/g2^16 - (2*g2^6*t^8.783)/g1^2 + t^8.784/g2^18 + (g1^8*t^8.93)/g2^5 + (3*g1^6*t^8.95)/g2^7 + (3*g1^4*t^8.971)/g2^9 + (2*g1^2*t^8.991)/g2^11 - t^4.155/(g2*y) - (g1^2*t^6.217)/(g2^6*y) - t^6.237/(g2^8*y) - (g1^2*t^6.444)/(g2*y) + (g1^2*t^7.145)/(g2^12*y) + (g1^4*t^7.352)/(g2^5*y) + (g1^2*t^7.372)/(g2^7*y) + (g1^2*t^7.599)/(g2^2*y) + t^7.619/(g2^4*y) + (g1^2*g2^3*t^7.825)/y + t^7.865/(g1^2*g2*y) + (g2^6*t^8.072)/y + (g2^4*t^8.092)/(g1^2*y) - (g1^4*t^8.28)/(g2^11*y) - (g1^2*t^8.3)/(g2^13*y) - t^8.32/(g2^15*y) + (g1^2*t^8.527)/(g2^8*y) + t^8.547/(g2^10*y) + (g1^4*t^8.733)/(g2*y) + (4*g1^2*t^8.753)/(g2^3*y) + (2*t^8.773)/(g2^5*y) + (g1^4*g2^4*t^8.96)/y + (3*g1^2*g2^2*t^8.98)/y - (t^4.155*y)/g2 - (g1^2*t^6.217*y)/g2^6 - (t^6.237*y)/g2^8 - (g1^2*t^6.444*y)/g2 + (g1^2*t^7.145*y)/g2^12 + (g1^4*t^7.352*y)/g2^5 + (g1^2*t^7.372*y)/g2^7 + (g1^2*t^7.599*y)/g2^2 + (t^7.619*y)/g2^4 + g1^2*g2^3*t^7.825*y + (t^7.865*y)/(g1^2*g2) + g2^6*t^8.072*y + (g2^4*t^8.092*y)/g1^2 - (g1^4*t^8.28*y)/g2^11 - (g1^2*t^8.3*y)/g2^13 - (t^8.32*y)/g2^15 + (g1^2*t^8.527*y)/g2^8 + (t^8.547*y)/g2^10 + (g1^4*t^8.733*y)/g2 + (4*g1^2*t^8.753*y)/g2^3 + (2*t^8.773*y)/g2^5 + g1^4*g2^4*t^8.96*y + 3*g1^2*g2^2*t^8.98*y |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46992 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6202 | 0.7596 | 0.8165 | [X:[1.6142], M:[0.3858, 0.7007, 1.1574, 0.8426, 1.2284, 0.7695], q:[0.8415, 0.7727], qb:[0.4578, 0.3848], phi:[0.3858]] | t^2.102 + t^2.309 + t^2.528 + t^3.466 + t^3.472 + t^3.679 + 2*t^3.685 + t^3.904 + t^4.204 + t^4.411 + t^4.617 + t^4.63 + t^4.836 + t^4.843 + t^5.055 + t^5.568 + t^5.574 + t^5.775 + t^5.781 + t^5.787 + t^5.987 + 2*t^5.994 - 2*t^6. - t^4.157/y - t^4.157*y | detail |