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 |
|---|---|---|---|---|---|---|---|---|---|
| 772 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ | 0.5822 | 0.7285 | 0.7991 | [M:[0.6846, 0.6846, 1.0631, 0.9369, 1.3154], q:[0.9866, 0.608], qb:[0.3289, 0.455], phi:[0.4054]] | [M:[[-20], [-20], [4], [-4], [20]], q:[[15], [-9]], qb:[[5], [13]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.054 + t^2.352 + t^2.432 + t^2.811 + 2*t^3.189 + t^3.568 + t^3.946 + t^4.107 + t^4.325 + t^4.405 + t^4.486 + t^4.703 + 2*t^4.784 + 2*t^4.864 + t^5.162 + 2*t^5.243 + 2*t^5.541 + 2*t^5.621 + t^5.92 + t^6. + t^6.161 + t^6.298 + 3*t^6.379 + t^6.54 + t^6.677 + 2*t^6.757 + 2*t^6.918 + t^7.055 + 3*t^7.136 + t^7.216 + 3*t^7.297 + 2*t^7.514 + 2*t^7.675 + 3*t^7.893 + t^7.973 + t^8.054 + t^8.215 + 2*t^8.271 + t^8.432 + t^8.593 + 2*t^8.65 + 2*t^8.73 - t^8.811 + 2*t^8.972 - t^4.216/y - t^6.27/y - t^6.648/y + t^7.405/y + t^7.486/y + (2*t^7.784)/y + t^7.864/y + (2*t^8.162)/y + (3*t^8.243)/y - t^8.323/y + (2*t^8.541)/y + (3*t^8.621)/y - t^8.702/y + t^8.92/y - t^4.216*y - t^6.27*y - t^6.648*y + t^7.405*y + t^7.486*y + 2*t^7.784*y + t^7.864*y + 2*t^8.162*y + 3*t^8.243*y - t^8.323*y + 2*t^8.541*y + 3*t^8.621*y - t^8.702*y + t^8.92*y | t^2.054/g1^20 + g1^18*t^2.352 + t^2.432/g1^12 + t^2.811/g1^4 + 2*g1^4*t^3.189 + g1^12*t^3.568 + g1^20*t^3.946 + t^4.107/g1^40 + g1^28*t^4.325 + t^4.405/g1^2 + t^4.486/g1^32 + g1^36*t^4.703 + 2*g1^6*t^4.784 + (2*t^4.864)/g1^24 + g1^14*t^5.162 + (2*t^5.243)/g1^16 + 2*g1^22*t^5.541 + (2*t^5.621)/g1^8 + g1^30*t^5.92 + t^6. + t^6.161/g1^60 + g1^38*t^6.298 + 3*g1^8*t^6.379 + t^6.54/g1^52 + g1^46*t^6.677 + 2*g1^16*t^6.757 + (2*t^6.918)/g1^44 + g1^54*t^7.055 + 3*g1^24*t^7.136 + t^7.216/g1^6 + (3*t^7.297)/g1^36 + 2*g1^32*t^7.514 + (2*t^7.675)/g1^28 + 3*g1^40*t^7.893 + g1^10*t^7.973 + t^8.054/g1^20 + t^8.215/g1^80 + 2*g1^48*t^8.271 + t^8.432/g1^12 + t^8.593/g1^72 + 2*g1^56*t^8.65 + 2*g1^26*t^8.73 - t^8.811/g1^4 + (2*t^8.972)/g1^64 - t^4.216/(g1^6*y) - t^6.27/(g1^26*y) - t^6.648/(g1^18*y) + t^7.405/(g1^2*y) + t^7.486/(g1^32*y) + (2*g1^6*t^7.784)/y + t^7.864/(g1^24*y) + (2*g1^14*t^8.162)/y + (3*t^8.243)/(g1^16*y) - t^8.323/(g1^46*y) + (2*g1^22*t^8.541)/y + (3*t^8.621)/(g1^8*y) - t^8.702/(g1^38*y) + (g1^30*t^8.92)/y - (t^4.216*y)/g1^6 - (t^6.27*y)/g1^26 - (t^6.648*y)/g1^18 + (t^7.405*y)/g1^2 + (t^7.486*y)/g1^32 + 2*g1^6*t^7.784*y + (t^7.864*y)/g1^24 + 2*g1^14*t^8.162*y + (3*t^8.243*y)/g1^16 - (t^8.323*y)/g1^46 + 2*g1^22*t^8.541*y + (3*t^8.621*y)/g1^8 - (t^8.702*y)/g1^38 + g1^30*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1257 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{6}$ | 0.5881 | 0.7382 | 0.7966 | [M:[0.6756, 0.6756, 1.0649, 0.9351, 1.3244, 0.9351], q:[0.9933, 0.604], qb:[0.3311, 0.4609], phi:[0.4027]] | t^2.027 + t^2.376 + t^2.416 + 2*t^2.805 + t^3.195 + t^3.584 + t^3.973 + t^4.054 + t^4.363 + t^4.403 + t^4.443 + t^4.752 + 2*t^4.792 + 3*t^4.832 + 2*t^5.181 + 2*t^5.221 + t^5.571 + 3*t^5.611 + t^5.96 + t^6. - t^4.208/y - t^4.208*y | detail | |
| 1256 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{6}$ | 0.5764 | 0.7192 | 0.8014 | [M:[0.6935, 0.6935, 1.0613, 0.9387, 1.3065, 1.0613], q:[0.9798, 0.6121], qb:[0.3266, 0.4492], phi:[0.4081]] | t^2.081 + t^2.327 + t^2.448 + 3*t^3.184 + t^3.552 + t^3.919 + t^4.161 + t^4.287 + t^4.408 + t^4.529 + t^4.655 + 2*t^4.776 + t^4.897 + 2*t^5.264 + 3*t^5.511 + 2*t^5.632 + t^5.879 - t^6. - t^4.224/y - t^4.224*y | detail | |
| 1258 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.4422 | 0.5047 | 0.8762 | [X:[1.7143, 1.4286], M:[0.2857, 0.2857, 1.1429, 0.8571, 1.7143], q:[1.2857, 0.4286], qb:[0.4286, 0.7143], phi:[0.2857]] | t^2.571 + 3*t^3.429 + t^4.286 + t^5.143 - t^6. - t^3.857/y - t^3.857*y | detail | {a: 2427/5488, c: 1385/2744, X1: 12/7, X2: 10/7, M1: 2/7, M2: 2/7, M3: 8/7, M4: 6/7, M5: 12/7, q1: 9/7, q2: 3/7, qb1: 3/7, qb2: 5/7, phi1: 2/7} |
| 1259 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}M_{6}$ | 0.6029 | 0.7691 | 0.7839 | [M:[0.6807, 0.6807, 1.0639, 0.9361, 1.3193, 0.6807], q:[0.9895, 0.6063], qb:[0.3298, 0.4575], phi:[0.4042]] | 2*t^2.042 + t^2.362 + t^2.425 + t^2.808 + 2*t^3.192 + t^3.575 + 3*t^4.084 + t^4.341 + 2*t^4.404 + 2*t^4.467 + t^4.724 + 2*t^4.787 + 3*t^4.851 + t^5.171 + 4*t^5.234 + 2*t^5.554 + 3*t^5.617 + t^5.937 - t^4.213/y - t^4.213*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 |
|---|---|---|---|---|---|---|---|---|---|
| 484 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{5}$ | 0.669 | 0.8353 | 0.8009 | [M:[0.7048, 0.7048, 0.6889, 0.6942, 1.2952], q:[0.8172, 0.8331], qb:[0.4781, 0.4728], phi:[0.3497]] | t^2.067 + t^2.082 + t^2.098 + t^2.114 + t^2.852 + t^3.87 + t^3.886 + t^3.902 + t^3.918 + t^4.133 + t^4.149 + 2*t^4.165 + 2*t^4.181 + 2*t^4.197 + t^4.213 + t^4.229 + t^4.919 + t^4.935 + 2*t^4.951 + t^4.967 + t^5.705 + t^5.936 + 2*t^5.952 + 2*t^5.968 + 2*t^5.984 - t^4.049/y - t^4.049*y | detail |