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 |
|---|---|---|---|---|---|---|---|---|---|
| 1931 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6552 | 0.8131 | 0.8058 | [M:[0.838, 1.054, 1.162, 0.73, 1.054], q:[0.3985, 0.7635], qb:[0.4395, 0.5065], phi:[0.473]] | [M:[[-12], [4], [12], [-20], [4]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -1 | t^2.19 + t^2.514 + t^2.715 + 2*t^3.162 + t^3.486 + t^3.609 + t^3.81 + t^3.933 + t^4.056 + t^4.134 + t^4.257 + t^4.38 + t^4.458 + t^4.704 + t^4.905 + t^5.028 + t^5.229 + 2*t^5.352 + t^5.43 + 2*t^5.676 + t^5.877 - t^6. + t^6.123 + t^6.246 + 3*t^6.324 + t^6.447 + t^6.525 + 2*t^6.57 + 3*t^6.648 + 2*t^6.771 + t^6.849 + t^6.894 + 2*t^6.972 + t^7.095 + t^7.173 + 2*t^7.218 + t^7.296 + t^7.419 + 3*t^7.542 + 2*t^7.62 + t^7.665 + t^7.743 + 3*t^7.866 + 2*t^7.944 + t^7.989 + t^8.067 + t^8.112 + t^8.145 + t^8.268 + t^8.313 + t^8.436 + t^8.514 + 2*t^8.592 + t^8.637 - t^8.715 + 2*t^8.76 + 2*t^8.838 + t^8.916 + t^8.961 - t^4.419/y - t^6.609/y + t^7.257/y - t^7.581/y + t^7.704/y + t^7.905/y + (2*t^8.229)/y + (2*t^8.352)/y + (3*t^8.676)/y + (2*t^8.877)/y - t^4.419*y - t^6.609*y + t^7.257*y - t^7.581*y + t^7.704*y + t^7.905*y + 2*t^8.229*y + 2*t^8.352*y + 3*t^8.676*y + 2*t^8.877*y | t^2.19/g1^20 + t^2.514/g1^12 + g1^30*t^2.715 + 2*g1^4*t^3.162 + g1^12*t^3.486 + t^3.609/g1^22 + g1^20*t^3.81 + t^3.933/g1^14 + t^4.056/g1^48 + g1^28*t^4.134 + t^4.257/g1^6 + t^4.38/g1^40 + g1^36*t^4.458 + t^4.704/g1^32 + g1^10*t^4.905 + t^5.028/g1^24 + g1^18*t^5.229 + (2*t^5.352)/g1^16 + g1^60*t^5.43 + (2*t^5.676)/g1^8 + g1^34*t^5.877 - t^6. + t^6.123/g1^34 + t^6.246/g1^68 + 3*g1^8*t^6.324 + t^6.447/g1^26 + g1^50*t^6.525 + (2*t^6.57)/g1^60 + 3*g1^16*t^6.648 + (2*t^6.771)/g1^18 + g1^58*t^6.849 + t^6.894/g1^52 + 2*g1^24*t^6.972 + t^7.095/g1^10 + g1^66*t^7.173 + (2*t^7.218)/g1^44 + g1^32*t^7.296 + t^7.419/g1^2 + (3*t^7.542)/g1^36 + 2*g1^40*t^7.62 + t^7.665/g1^70 + g1^6*t^7.743 + (3*t^7.866)/g1^28 + 2*g1^48*t^7.944 + t^7.989/g1^62 + g1^14*t^8.067 + t^8.112/g1^96 + g1^90*t^8.145 + g1^56*t^8.268 + t^8.313/g1^54 + t^8.436/g1^88 + t^8.514/g1^12 + 2*g1^64*t^8.592 + t^8.637/g1^46 - g1^30*t^8.715 + (2*t^8.76)/g1^80 + (2*t^8.838)/g1^4 + g1^72*t^8.916 + t^8.961/g1^38 - t^4.419/(g1^2*y) - t^6.609/(g1^22*y) + t^7.257/(g1^6*y) - (g1^2*t^7.581)/y + t^7.704/(g1^32*y) + (g1^10*t^7.905)/y + (2*g1^18*t^8.229)/y + (2*t^8.352)/(g1^16*y) + (3*t^8.676)/(g1^8*y) + (2*g1^34*t^8.877)/y - (t^4.419*y)/g1^2 - (t^6.609*y)/g1^22 + (t^7.257*y)/g1^6 - g1^2*t^7.581*y + (t^7.704*y)/g1^32 + g1^10*t^7.905*y + 2*g1^18*t^8.229*y + (2*t^8.352*y)/g1^16 + (3*t^8.676*y)/g1^8 + 2*g1^34*t^8.877*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 |
|---|---|---|---|---|---|---|---|---|
| 2963 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6759 | 0.8533 | 0.7921 | [M:[0.839, 1.0537, 1.161, 0.7316, 1.0537, 0.6879], q:[0.3976, 0.7634], qb:[0.4414, 0.505], phi:[0.4732]] | t^2.064 + t^2.195 + t^2.517 + t^2.708 + 2*t^3.161 + t^3.483 + t^3.614 + t^3.805 + t^4.068 + 2*t^4.127 + 2*t^4.258 + t^4.39 + t^4.449 + t^4.581 + t^4.712 + t^4.771 + t^4.903 + t^5.034 + 3*t^5.225 + 2*t^5.356 + t^5.415 + t^5.547 + 3*t^5.678 + 2*t^5.869 - t^6. - t^4.419/y - t^4.419*y | detail | |
| 2962 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6751 | 0.8503 | 0.7939 | [M:[0.8345, 1.0552, 1.1655, 0.7242, 1.0552, 0.7242], q:[0.4017, 0.7638], qb:[0.4329, 0.512], phi:[0.4724]] | 2*t^2.173 + t^2.504 + t^2.741 + 2*t^3.165 + t^3.496 + t^3.59 + t^3.921 + t^4.015 + t^4.158 + t^4.252 + 3*t^4.345 + t^4.489 + 2*t^4.676 + 2*t^4.914 + t^5.007 + t^5.245 + 4*t^5.338 + t^5.482 + 3*t^5.669 + t^5.763 + t^5.906 - 2*t^6. - t^4.417/y - t^4.417*y | detail | |
| 2961 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6483 | 0.8029 | 0.8074 | [M:[0.8221, 1.0593, 1.1779, 0.7034, 1.0593, 1.0551], q:[0.4131, 0.7648], qb:[0.4089, 0.5317], phi:[0.4703]] | t^2.11 + t^2.466 + t^3.165 + 2*t^3.178 + t^3.521 + t^3.534 + t^3.865 + t^3.877 + t^3.89 + t^4.221 + t^4.233 + t^4.246 + t^4.576 + t^4.602 + t^4.932 + t^5.276 + 2*t^5.288 + t^5.632 + 2*t^5.644 + t^5.975 + t^5.987 - t^6. - t^4.411/y - t^4.411*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 |
|---|---|---|---|---|---|---|---|---|---|
| 583 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6959 | 0.8526 | 0.8162 | [M:[0.9532, 1.0156, 1.0468, 0.9221, 1.0156], q:[0.4912, 0.5555], qb:[0.462, 0.5224], phi:[0.4922]] | t^2.766 + t^2.86 + t^3.041 + 2*t^3.047 + t^3.053 + t^3.14 + t^4.249 + t^4.336 + t^4.424 + t^4.43 + t^4.517 + t^4.529 + t^4.611 + t^4.617 + t^4.71 + t^4.81 + t^5.532 + t^5.626 + 2*t^5.813 + 2*t^5.906 - 3*t^6. - t^4.477/y - t^4.477*y | detail |