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 |
|---|---|---|---|---|---|---|---|---|---|
| 57288 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.327 | 1.4812 | 0.8959 | [X:[1.4268], M:[1.1464, 0.8247], q:[0.4151, 0.7368], qb:[0.4385, 0.69], phi:[0.2866]] | [X:[[0, 0, 2]], M:[[0, 0, -4], [-1, 1, -2]], q:[[-1, 0, 4], [0, -1, 2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{1}$ | -2 | t^2.474 + t^2.579 + t^3.315 + t^3.421 + t^3.439 + t^4.175 + 3*t^4.28 + t^4.386 + t^4.948 + t^5.054 + t^5.14 + t^5.159 + 2*t^5.561 + t^5.79 + t^5.895 + t^5.914 - 2*t^6. + t^6.019 - t^6.105 + 2*t^6.315 + 2*t^6.421 + 2*t^6.526 + t^6.631 + t^6.649 + t^6.736 + 3*t^6.755 + t^6.841 + 2*t^6.86 + t^6.879 - t^6.965 + t^7.423 + t^7.491 + t^7.528 + 4*t^7.596 + t^7.614 + t^7.633 + 3*t^7.701 + 3*t^7.72 + t^7.738 + t^7.806 - 2*t^8.14 - 2*t^8.245 + t^8.264 + t^8.35 + t^8.369 + t^8.388 + 3*t^8.456 - 2*t^8.474 + t^8.493 + 6*t^8.561 + t^8.598 + 2*t^8.666 - t^8.685 + t^8.771 + 2*t^8.79 + 2*t^8.876 + 2*t^8.895 + 2*t^8.981 + t^8.579/y^2 - t^3.86/y - t^4.72/y - t^6.334/y - t^6.439/y - t^7.175/y - t^7.194/y - (2*t^7.299)/y - t^8.035/y + t^8.054/y - (2*t^8.14)/y - t^8.159/y + t^8.79/y - t^8.808/y + (2*t^8.895)/y - t^3.86*y - t^4.72*y - t^6.334*y - t^6.439*y - t^7.175*y - t^7.194*y - 2*t^7.299*y - t^8.035*y + t^8.054*y - 2*t^8.14*y - t^8.159*y + t^8.79*y - t^8.808*y + 2*t^8.895*y + t^8.579*y^2 | (g2*t^2.474)/(g1*g3^2) + t^2.579/g3^3 + (g2*g3^4*t^3.315)/g1 + g3^3*t^3.421 + t^3.439/g3^4 + (g2*g3^3*t^4.175)/g1 + 3*g3^2*t^4.28 + (g1*g3*t^4.386)/g2 + (g2^2*t^4.948)/(g1^2*g3^4) + (g2*t^5.054)/(g1*g3^5) + g3*t^5.14 + t^5.159/g3^6 + (g1^2*g2*t^5.561)/g3 + (g3^9*t^5.561)/(g1^2*g2) + (g2^2*g3^2*t^5.79)/g1^2 + (g2*g3*t^5.895)/g1 + (g2*t^5.914)/(g1*g3^6) - 2*t^6. + t^6.019/g3^7 - (g1*t^6.105)/(g2*g3) + (g1*g2^2*t^6.315)/g3 + (g3^9*t^6.315)/g1^3 + (g1^2*g2*t^6.421)/g3^2 + (g3^8*t^6.421)/(g1^2*g2) + (g1^3*t^6.526)/g3^3 + (g3^7*t^6.526)/(g1*g2^2) + (g2^2*g3^8*t^6.631)/g1^2 + (g2^2*g3*t^6.649)/g1^2 + (g2*g3^7*t^6.736)/g1 + (3*g2*t^6.755)/g1 + g3^6*t^6.841 + (2*t^6.86)/g3 + t^6.879/g3^8 - (g1*t^6.965)/(g2*g3^2) + (g2^3*t^7.423)/(g1^3*g3^6) + (g2^2*g3^7*t^7.491)/g1^2 + (g2^2*t^7.528)/(g1^2*g3^7) + (4*g2*g3^6*t^7.596)/g1 + (g2*t^7.614)/(g1*g3) + (g2*t^7.633)/(g1*g3^8) + 3*g3^5*t^7.701 + (3*t^7.72)/g3^2 + t^7.738/g3^9 + (g1*g3^4*t^7.806)/g2 - (g1^2*g2*t^8.14)/g3^4 - (g3^6*t^8.14)/(g1^2*g2) - (g1^3*t^8.245)/g3^5 - (g3^5*t^8.245)/(g1*g2^2) + (g2^3*t^8.264)/g1^3 + (g2^2*g3^6*t^8.35)/g1^2 + (g2^2*t^8.369)/(g1^2*g3) + (g2^2*t^8.388)/(g1^2*g3^8) + (3*g2*g3^5*t^8.456)/g1 - (2*g2*t^8.474)/(g1*g3^2) + (g2*t^8.493)/(g1*g3^9) + 6*g3^4*t^8.561 + t^8.598/g3^10 + (2*g1*g3^3*t^8.666)/g2 - (g1*t^8.685)/(g2*g3^4) + (g1^2*g3^2*t^8.771)/g2^2 + (g2^3*t^8.79)/g3^3 + (g2*g3^7*t^8.79)/g1^4 + g1*g2^2*g3^3*t^8.876 + (g3^13*t^8.876)/g1^3 + (g1*g2^2*t^8.895)/g3^4 + (g3^6*t^8.895)/g1^3 + g1^2*g2*g3^2*t^8.981 + (g3^12*t^8.981)/(g1^2*g2) + t^8.579/(g3^3*y^2) - t^3.86/(g3*y) - t^4.72/(g3^2*y) - (g2*t^6.334)/(g1*g3^3*y) - t^6.439/(g3^4*y) - (g2*g3^3*t^7.175)/(g1*y) - (g2*t^7.194)/(g1*g3^4*y) - (2*t^7.299)/(g3^5*y) - (g2*g3^2*t^8.035)/(g1*y) + (g2*t^8.054)/(g1*g3^5*y) - (2*g3*t^8.14)/y - t^8.159/(g3^6*y) + (g2^2*g3^2*t^8.79)/(g1^2*y) - (g2^2*t^8.808)/(g1^2*g3^5*y) + (2*g2*g3*t^8.895)/(g1*y) - (t^3.86*y)/g3 - (t^4.72*y)/g3^2 - (g2*t^6.334*y)/(g1*g3^3) - (t^6.439*y)/g3^4 - (g2*g3^3*t^7.175*y)/g1 - (g2*t^7.194*y)/(g1*g3^4) - (2*t^7.299*y)/g3^5 - (g2*g3^2*t^8.035*y)/g1 + (g2*t^8.054*y)/(g1*g3^5) - 2*g3*t^8.14*y - (t^8.159*y)/g3^6 + (g2^2*g3^2*t^8.79*y)/g1^2 - (g2^2*t^8.808*y)/(g1^2*g3^5) + (2*g2*g3*t^8.895*y)/g1 + (t^8.579*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57820 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.295 | 1.4562 | 0.8893 | [X:[1.3492], M:[1.3015, 1.0239], q:[0.3651, 0.6428], qb:[0.3333, 0.7064], phi:[0.3254]] | t^2.93 + 2*t^3.07 + t^3.21 + 2*t^3.9 + 3*t^4.05 + t^4.19 + t^5.02 + 2*t^5.1 + 2*t^5.93 - t^6. - t^3.98/y - t^4.95/y - t^3.98*y - t^4.95*y | detail | |
| 57822 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3401 | 1.5022 | 0.8921 | [X:[1.4405], M:[1.1191, 0.8064, 0.8393], q:[0.4295, 0.7422], qb:[0.4514, 0.6983], phi:[0.2798]] | t^2.42 + 2*t^2.52 + t^3.36 + t^3.38 + t^4.22 + 3*t^4.32 + t^4.42 + t^4.84 + 2*t^4.94 + 3*t^5.04 + t^5.16 + 2*t^5.64 + t^5.78 + t^5.8 + 2*t^5.88 + t^5.9 - 3*t^6. - t^3.84/y - t^4.68/y - t^3.84*y - t^4.68*y | detail | |
| 57821 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1.339 | 1.4988 | 0.8933 | [X:[1.442], M:[1.116, 0.837, 0.837], q:[0.442, 0.721], qb:[0.442, 0.721], phi:[0.279]] | 3*t^2.51 + t^3.35 + t^3.49 + 5*t^4.33 + 6*t^5.02 + t^5.16 + 2*t^5.65 + 3*t^5.86 - 2*t^6. - t^3.84/y - t^4.67/y - t^3.84*y - t^4.67*y | detail | |
| 57819 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0615 | 1.1418 | 0.9297 | [X:[1.5717, 1.3576], M:[0.8566, 1.0707], q:[0.7145, 0.5003], qb:[0.429, 1.0714], phi:[0.2141]] | t^2.57 + t^3.21 + t^3.43 + 2*t^4.07 + 2*t^4.72 + t^5.14 + t^5.78 + 2*t^5.79 - 2*t^6. - t^3.64/y - t^4.28/y - t^3.64*y - t^4.28*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47884 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.314 | 1.4609 | 0.8994 | [X:[1.4124], M:[1.1752], q:[0.4124, 0.7062], qb:[0.4124, 0.7062], phi:[0.2938]] | t^2.644 + 3*t^3.356 + t^3.526 + 5*t^4.237 + t^5.119 + t^5.288 + 2*t^5.474 - 2*t^6. - t^3.881/y - t^4.763/y - t^3.881*y - t^4.763*y | detail |