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 |
|---|---|---|---|---|---|---|---|---|---|
| 47947 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ | 1.0879 | 1.2082 | 0.9004 | [X:[1.5125], q:[0.6921, 0.372], qb:[1.0641, 0.4092], phi:[0.2437]] | [X:[[0, 2]], q:[[1, -2], [-2, 5]], qb:[[-1, 3], [2, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}\phi_{1}^{5}q_{2}\tilde{q}_{2}$ | -2 | t^2.194 + t^2.344 + t^3.075 + t^3.304 + t^3.806 + t^4.309 + t^4.387 + 2*t^4.538 + t^4.688 + t^5.04 + 2*t^5.269 + t^5.419 + t^5.542 + t^5.648 + t^5.877 - 2*t^6. + 2*t^6.15 + 2*t^6.379 + t^6.581 + t^6.608 + t^6.652 + t^6.731 + 3*t^6.881 - t^6.96 + t^7.031 + t^7.11 + 2*t^7.384 + t^7.462 + 4*t^7.613 + t^7.763 + t^7.842 + t^7.886 - 2*t^7.965 + t^7.992 + 2*t^8.115 + t^8.221 + t^8.344 - t^8.467 + 2*t^8.494 + 2*t^8.617 - t^8.696 + 2*t^8.723 + t^8.775 - t^8.802 + 2*t^8.846 + 2*t^8.952 + t^8.996 + t^8.194/y^2 - t^8.925/y^2 - t^3.731/y - t^4.462/y - t^5.925/y - t^6.075/y - t^6.656/y - t^6.806/y - t^7.035/y - t^8.04/y - t^8.119/y + t^8.498/y + t^8.648/y - t^8.85/y - t^3.731*y - t^4.462*y - t^5.925*y - t^6.075*y - t^6.656*y - t^6.806*y - t^7.035*y - t^8.04*y - t^8.119*y + t^8.498*y + t^8.648*y - t^8.85*y + t^8.194*y^2 - t^8.925*y^2 | t^2.194/g2^3 + g2^5*t^2.344 + g2^4*t^3.075 + (g1^3*t^3.304)/g2^2 + g2^3*t^3.806 + (g2^8*t^4.309)/g1^3 + t^4.387/g2^6 + 2*g2^2*t^4.538 + g2^10*t^4.688 + (g2^7*t^5.04)/g1^3 + 2*g2*t^5.269 + g2^9*t^5.419 + (g2^12*t^5.542)/g1^6 + g1^3*g2^3*t^5.648 + (g1^6*t^5.877)/g2^3 - 2*t^6. + 2*g2^8*t^6.15 + 2*g1^3*g2^2*t^6.379 + t^6.581/g2^9 + (g1^6*t^6.608)/g2^4 + (g2^13*t^6.652)/g1^3 + t^6.731/g2 + 3*g2^7*t^6.881 - (g1^3*t^6.96)/g2^7 + g2^15*t^7.031 + g1^3*g2*t^7.11 + (2*g2^12*t^7.384)/g1^3 + t^7.462/g2^2 + 4*g2^6*t^7.613 + g2^14*t^7.763 + g1^3*t^7.842 + (g2^17*t^7.886)/g1^6 - (2*g2^3*t^7.965)/g1^3 + g1^3*g2^8*t^7.992 + (2*g2^11*t^8.115)/g1^3 + g1^6*g2^2*t^8.221 + g2^5*t^8.344 - (g2^8*t^8.467)/g1^6 + 2*g2^13*t^8.494 + (2*g2^16*t^8.617)/g1^6 - (g2^2*t^8.696)/g1^3 + 2*g1^3*g2^7*t^8.723 + t^8.775/g2^12 - (g1^6*t^8.802)/g2^7 + (2*g2^10*t^8.846)/g1^3 + 2*g1^6*g2*t^8.952 + (g2^18*t^8.996)/g1^3 + t^8.194/(g2^3*y^2) - t^8.925/(g2^4*y^2) - t^3.731/(g2*y) - t^4.462/(g2^2*y) - t^5.925/(g2^4*y) - (g2^4*t^6.075)/y - t^6.656/(g2^5*y) - (g2^3*t^6.806)/y - (g1^3*t^7.035)/(g2^3*y) - (g2^7*t^8.04)/(g1^3*y) - t^8.119/(g2^7*y) + (g1^3*t^8.498)/(g2^5*y) + (g1^3*g2^3*t^8.648)/y - t^8.85/(g2^8*y) - (t^3.731*y)/g2 - (t^4.462*y)/g2^2 - (t^5.925*y)/g2^4 - g2^4*t^6.075*y - (t^6.656*y)/g2^5 - g2^3*t^6.806*y - (g1^3*t^7.035*y)/g2^3 - (g2^7*t^8.04*y)/g1^3 - (t^8.119*y)/g2^7 + (g1^3*t^8.498*y)/g2^5 + g1^3*g2^3*t^8.648*y - (t^8.85*y)/g2^8 + (t^8.194*y^2)/g2^3 - (t^8.925*y^2)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57722 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.1077 | 1.2437 | 0.8907 | [X:[1.5165], M:[0.7252], q:[0.6907, 0.3768], qb:[1.0675, 0.4145], phi:[0.2417]] | 2*t^2.18 + t^2.37 + t^3.1 + t^3.32 + t^4.33 + 3*t^4.35 + 3*t^4.55 + t^4.75 + t^5.06 + 3*t^5.27 + t^5.47 + t^5.49 + t^5.57 + t^5.69 + t^5.91 - 3*t^6. - t^3.73/y - t^4.45/y - (2*t^5.9)/y - t^3.73*y - t^4.45*y - 2*t^5.9*y | detail | |
| 57720 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9871 | 1.0513 | 0.9389 | [X:[1.5963, 1.3945], M:[], q:[0.5994, 0.5994], qb:[1.1988, 0.3914], phi:[0.2018]] | 2*t^2.97 + t^3.58 + 2*t^4.18 + t^5.34 + 2*t^5.39 + 3*t^5.94 - 3*t^6. - t^3.61/y - t^4.21/y - t^3.61*y - t^4.21*y | detail | |
| 57721 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | 1.0874 | 1.206 | 0.9017 | [X:[1.5172], M:[], q:[0.6955, 0.3676], qb:[1.0631, 0.4252], phi:[0.2414]] | t^2.17 + t^2.38 + t^3.1 + t^3.36 + t^3.83 + t^4.29 + t^4.35 + 2*t^4.55 + t^4.76 + t^5.02 + 2*t^5.28 + 2*t^5.48 + t^5.74 - t^6. - t^3.72/y - t^4.45/y - t^5.9/y - t^3.72*y - t^4.45*y - t^5.9*y | detail | |
| 57716 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.5148 | 0.4823 | 1.0673 | [X:[1.8026, 1.7039], M:[], q:[0.7983, 0.3048], qb:[1.1031, 1.2017], phi:[0.0987]] | t^3.63 + t^4.22 + t^4.52 - 2*t^6. - t^3.3/y - t^3.59/y - t^3.3*y - t^3.59*y | detail | |
| 57717 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.8948 | 0.9285 | 0.9637 | [X:[1.6615, 1.4922], M:[], q:[0.5538, 0.7231], qb:[1.2769, 0.4306], phi:[0.1693]] | t^2.95 + t^3.46 + t^3.97 + t^4.48 + t^4.98 + t^5.4 + t^5.91 - 2*t^6. - t^3.51/y - t^4.02/y - t^3.51*y - t^4.02*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47876 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6227 | 0.889 | [X:[1.353], q:[0.5758, 0.525], qb:[0.4792, 0.4792], phi:[0.3235]] | t^2.911 + 2*t^3.013 + 2*t^3.165 + 2*t^3.983 + t^4.059 + 2*t^4.135 + 2*t^4.953 + 2*t^5.106 + 2*t^5.283 + t^5.823 + 2*t^5.924 - 5*t^6. - t^3.97/y - t^4.941/y - t^3.97*y - t^4.941*y | detail |