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 |
|---|---|---|---|---|---|---|---|---|---|
| 47931 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3411 | 1.5094 | 0.8885 | [X:[1.4098], M:[0.848], q:[0.4222, 0.68], qb:[0.7297, 0.3974], phi:[0.2951]] | [X:[[0, 0, 2]], M:[[-1, 1, -4]], q:[[0, -1, 4], [-1, 0, 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 |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$ | -2 | t^2.459 + t^2.544 + t^2.656 + t^3.232 + t^3.344 + t^4.117 + 3*t^4.229 + t^4.341 + t^4.917 + t^5.003 + t^5.088 + 2*t^5.115 + t^5.2 + t^5.312 + 2*t^5.459 + t^5.691 + t^5.776 + t^5.803 + t^5.888 - 2*t^6. - t^6.112 + 2*t^6.232 + 2*t^6.344 + 2*t^6.456 + t^6.464 + 2*t^6.576 + t^6.662 + 4*t^6.688 + 2*t^6.773 + t^6.8 + t^6.885 - t^6.997 + t^7.35 + t^7.376 + 5*t^7.462 + t^7.547 + 5*t^7.573 + t^7.632 + t^7.659 + t^7.685 + t^7.744 + t^7.771 + t^7.856 - t^7.883 + 2*t^7.917 + t^7.968 - 2*t^8.115 + t^8.15 - 2*t^8.227 + 2*t^8.235 + t^8.261 + t^8.32 + 4*t^8.347 + t^8.432 + 4*t^8.459 - 2*t^8.544 + t^8.571 - t^8.656 + t^8.682 + 4*t^8.691 - t^8.768 + 2*t^8.776 + 4*t^8.803 + 2*t^8.888 + 2*t^8.915 + t^8.923 + t^8.656/y^2 - t^3.885/y - t^4.771/y - t^6.344/y - t^6.429/y - t^6.541/y - t^7.117/y - t^7.229/y - t^7.315/y - t^7.427/y - t^8.115/y + t^8.2/y + t^8.691/y + t^8.776/y + t^8.888/y - t^8.974/y - t^3.885*y - t^4.771*y - t^6.344*y - t^6.429*y - t^6.541*y - t^7.117*y - t^7.229*y - t^7.315*y - t^7.427*y - t^8.115*y + t^8.2*y + t^8.691*y + t^8.776*y + t^8.888*y - t^8.974*y + t^8.656*y^2 | g3^4*t^2.459 + (g2*t^2.544)/(g1*g3^4) + t^2.656/g3^3 + (g2*g3^2*t^3.232)/g1 + g3^3*t^3.344 + (g2*g3*t^4.117)/g1 + 3*g3^2*t^4.229 + (g1*g3^3*t^4.341)/g2 + g3^8*t^4.917 + (g2*t^5.003)/g1 + (g2^2*t^5.088)/(g1^2*g3^8) + 2*g3*t^5.115 + (g2*t^5.2)/(g1*g3^7) + t^5.312/g3^6 + (g1*g2^2*t^5.459)/g3 + (g3^9*t^5.459)/(g1*g2^2) + (g2*g3^6*t^5.691)/g1 + (g2^2*t^5.776)/(g1^2*g3^2) + g3^7*t^5.803 + (g2*t^5.888)/(g1*g3) - 2*t^6. - (g1*g3*t^6.112)/g2 + (g2^3*t^6.232)/g3^3 + (g3^7*t^6.232)/(g1^2*g2) + (g1*g2^2*t^6.344)/g3^2 + (g3^8*t^6.344)/(g1*g2^2) + (g1^2*g2*t^6.456)/g3 + (g3^9*t^6.456)/g2^3 + (g2^2*g3^4*t^6.464)/g1^2 + (2*g2*g3^5*t^6.576)/g1 + (g2^2*t^6.662)/(g1^2*g3^3) + 4*g3^6*t^6.688 + (2*g2*t^6.773)/(g1*g3^2) + (g1*g3^7*t^6.8)/g2 + t^6.885/g3 - (g1*t^6.997)/g2 + (g2^2*g3^3*t^7.35)/g1^2 + g3^12*t^7.376 + (5*g2*g3^4*t^7.462)/g1 + (g2^2*t^7.547)/(g1^2*g3^4) + 5*g3^5*t^7.573 + (g2^3*t^7.632)/(g1^3*g3^12) + (g2*t^7.659)/(g1*g3^3) + (g1*g3^6*t^7.685)/g2 + (g2^2*t^7.744)/(g1^2*g3^11) + t^7.771/g3^2 + (g2*t^7.856)/(g1*g3^10) - (g1*t^7.883)/(g2*g3) + g1*g2^2*g3^3*t^7.917 + (g3^13*t^7.917)/(g1*g2^2) + t^7.968/g3^9 - (g1*g2^2*t^8.115)/g3^4 - (g3^6*t^8.115)/(g1*g2^2) + (g2*g3^10*t^8.15)/g1 - (g1^2*g2*t^8.227)/g3^3 - (g3^7*t^8.227)/g2^3 + (2*g2^2*g3^2*t^8.235)/g1^2 + g3^11*t^8.261 + (g2^3*t^8.32)/(g1^3*g3^6) + (4*g2*g3^3*t^8.347)/g1 + (g2^2*t^8.432)/(g1^2*g3^5) + 4*g3^4*t^8.459 - (2*g2*t^8.544)/(g1*g3^4) + (g1*g3^5*t^8.571)/g2 - t^8.656/g3^3 + (g1^2*g3^6*t^8.682)/g2^2 + 2*g2^3*g3*t^8.691 + (2*g3^11*t^8.691)/(g1^2*g2) - (g1*t^8.768)/(g2*g3^2) + (g2^4*t^8.776)/(g1*g3^7) + (g3^3*t^8.776)/g1^3 + 2*g1*g2^2*g3^2*t^8.803 + (2*g3^12*t^8.803)/(g1*g2^2) + (g2^3*t^8.888)/g3^6 + (g3^4*t^8.888)/(g1^2*g2) + g1^2*g2*g3^3*t^8.915 + (g3^13*t^8.915)/g2^3 + (g2^2*g3^8*t^8.923)/g1^2 + t^8.656/(g3^3*y^2) - t^3.885/(g3*y) - t^4.771/(g3^2*y) - (g3^3*t^6.344)/y - (g2*t^6.429)/(g1*g3^5*y) - t^6.541/(g3^4*y) - (g2*g3*t^7.117)/(g1*y) - (g3^2*t^7.229)/y - (g2*t^7.315)/(g1*g3^6*y) - t^7.427/(g3^5*y) - (g3*t^8.115)/y + (g2*t^8.2)/(g1*g3^7*y) + (g2*g3^6*t^8.691)/(g1*y) + (g2^2*t^8.776)/(g1^2*g3^2*y) + (g2*t^8.888)/(g1*g3*y) - (g2^2*t^8.974)/(g1^2*g3^9*y) - (t^3.885*y)/g3 - (t^4.771*y)/g3^2 - g3^3*t^6.344*y - (g2*t^6.429*y)/(g1*g3^5) - (t^6.541*y)/g3^4 - (g2*g3*t^7.117*y)/g1 - g3^2*t^7.229*y - (g2*t^7.315*y)/(g1*g3^6) - (t^7.427*y)/g3^5 - g3*t^8.115*y + (g2*t^8.2*y)/(g1*g3^7) + (g2*g3^6*t^8.691*y)/g1 + (g2^2*t^8.776*y)/(g1^2*g3^2) + (g2*t^8.888*y)/(g1*g3) - (g2^2*t^8.974*y)/(g1^2*g3^9) + (t^8.656*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 |
|---|---|---|---|---|---|---|---|---|
| 57625 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3156 | 1.4962 | 0.8793 | [X:[1.348], M:[1.022], q:[0.3333, 0.7034], qb:[0.6446, 0.3627], phi:[0.326]] | t^2.09 + t^2.93 + 2*t^3.07 + t^3.2 + t^3.91 + 3*t^4.04 + 2*t^4.18 + 2*t^5.02 + 2*t^5.09 + 2*t^5.15 + t^5.29 + 2*t^5.93 - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 57629 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | 1.3395 | 1.5024 | 0.8916 | [X:[1.4286], M:[0.8223], q:[0.4402, 0.6911], qb:[0.7375, 0.417], phi:[0.2857]] | t^2.47 + 2*t^2.57 + t^3.32 + t^3.43 + t^4.18 + 3*t^4.29 + t^4.39 + t^4.93 + 2*t^5.04 + 4*t^5.14 + 2*t^5.57 + t^5.79 + 2*t^5.9 - t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | |
| 57623 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0502 | 1.1269 | 0.9319 | [X:[1.5544, 1.3316], M:[1.1141], q:[0.4058, 1.0743], qb:[0.4801, 0.7029], phi:[0.2228]] | 2*t^3.33 + t^3.34 + 2*t^3.99 + 2*t^4.66 + 2*t^5.66 - 3*t^6. - t^3.67/y - t^4.34/y - t^3.67*y - t^4.34*y | detail | |
| 57624 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.2394 | 1.3737 | 0.9022 | [X:[1.4628], M:[1.0745], q:[0.3732, 0.9105], qb:[0.5523, 0.5523], phi:[0.2686]] | t^2.42 + t^2.78 + t^3.22 + 2*t^3.58 + 4*t^4.39 + t^4.84 + 2*t^5.19 + t^5.55 + t^5.64 + 4*t^5.78 - 2*t^6. - t^3.81/y - t^4.61/y - t^3.81*y - t^4.61*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47868 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4552 | 1.6423 | 0.8861 | [X:[1.3428], M:[0.9491], q:[0.5255, 0.4888], qb:[0.5255, 0.4888], phi:[0.3286]] | t^2.847 + t^2.933 + t^2.957 + 2*t^3.043 + t^3.918 + 3*t^4.028 + t^4.139 + t^4.904 + 2*t^5.014 + t^5.124 + 2*t^5.495 + 2*t^5.605 + t^5.695 + t^5.78 + t^5.805 + t^5.865 + t^5.89 + t^5.915 + 2*t^5.975 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y | detail |