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 |
|---|---|---|---|---|---|---|---|---|---|
| 46655 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.645 | 0.7913 | 0.8151 | [M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.512, 0.3659], qb:[0.7562, 0.8049], phi:[0.3903]] | [M:[[-16], [-14], [16], [16]], q:[[23], [-7]], qb:[[-9], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$ | ${}$ | -1 | t^2.195 + t^2.342 + 2*t^2.634 + t^3.366 + t^3.512 + t^3.805 + t^3.951 + t^4.243 + t^4.391 + 2*t^4.537 + 2*t^4.683 + t^4.829 + 3*t^4.975 + 2*t^5.267 + 3*t^5.708 - t^6. + 3*t^6.146 + t^6.438 + 3*t^6.584 + t^6.586 + t^6.733 + 2*t^6.876 + 3*t^6.879 + 2*t^7.025 + t^7.171 + 4*t^7.317 + t^7.463 + 3*t^7.609 + t^7.755 + 2*t^7.901 + 2*t^7.903 + t^8.047 + 3*t^8.049 + t^8.193 - 3*t^8.195 + t^8.485 + 2*t^8.488 - 4*t^8.634 + 3*t^8.78 + t^8.782 + 2*t^8.926 + t^8.928 - t^4.171/y - t^6.366/y - t^6.512/y - t^6.805/y + (2*t^7.537)/y + (3*t^7.829)/y + (3*t^7.975)/y + t^8.267/y + t^8.708/y - t^4.171*y - t^6.366*y - t^6.512*y - t^6.805*y + 2*t^7.537*y + 3*t^7.829*y + 3*t^7.975*y + t^8.267*y + t^8.708*y | t^2.195/g1^14 + t^2.342/g1^4 + 2*g1^16*t^2.634 + t^3.366/g1^16 + t^3.512/g1^6 + g1^14*t^3.805 + g1^24*t^3.951 + g1^44*t^4.243 + t^4.391/g1^28 + (2*t^4.537)/g1^18 + (2*t^4.683)/g1^8 + g1^2*t^4.829 + 3*g1^12*t^4.975 + 2*g1^32*t^5.267 + (3*t^5.708)/g1^20 - t^6. + 3*g1^10*t^6.146 + g1^30*t^6.438 + 3*g1^40*t^6.584 + t^6.586/g1^42 + t^6.733/g1^32 + 2*g1^60*t^6.876 + (3*t^6.879)/g1^22 + (2*t^7.025)/g1^12 + t^7.171/g1^2 + 4*g1^8*t^7.317 + g1^18*t^7.463 + 3*g1^28*t^7.609 + g1^38*t^7.755 + 2*g1^48*t^7.901 + (2*t^7.903)/g1^34 + g1^58*t^8.047 + (3*t^8.049)/g1^24 + g1^68*t^8.193 - (3*t^8.195)/g1^14 + g1^88*t^8.485 + 2*g1^6*t^8.488 - 4*g1^16*t^8.634 + 3*g1^26*t^8.78 + t^8.782/g1^56 + 2*g1^36*t^8.926 + t^8.928/g1^46 - t^4.171/(g1^2*y) - t^6.366/(g1^16*y) - t^6.512/(g1^6*y) - (g1^14*t^6.805)/y + (2*t^7.537)/(g1^18*y) + (3*g1^2*t^7.829)/y + (3*g1^12*t^7.975)/y + (g1^32*t^8.267)/y + t^8.708/(g1^20*y) - (t^4.171*y)/g1^2 - (t^6.366*y)/g1^16 - (t^6.512*y)/g1^6 - g1^14*t^6.805*y + (2*t^7.537*y)/g1^18 + 3*g1^2*t^7.829*y + 3*g1^12*t^7.975*y + g1^32*t^8.267*y + (t^8.708*y)/g1^20 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47225 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}M_{5}$ | 0.6348 | 0.7738 | 0.8204 | [M:[1.1036, 0.7157, 0.8964, 0.8964, 1.1036], q:[0.5385, 0.3578], qb:[0.7458, 0.806], phi:[0.388]] | t^2.147 + t^2.328 + t^2.689 + 2*t^3.311 + t^3.492 + t^3.853 + t^4.034 + t^4.294 + t^4.395 + 2*t^4.475 + 2*t^4.655 + 2*t^5.017 + t^5.458 + 4*t^5.639 - t^6. - t^4.164/y - t^4.164*y | detail | |
| 48265 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6648 | 0.8279 | 0.8029 | [M:[1.1163, 0.7268, 0.8837, 0.8837, 0.7268], q:[0.5203, 0.3634], qb:[0.7529, 0.8052], phi:[0.3895]] | 2*t^2.18 + t^2.337 + 2*t^2.651 + t^3.349 + t^3.506 + t^3.977 + t^4.29 + 3*t^4.361 + 3*t^4.518 + 2*t^4.674 + 3*t^4.831 + 3*t^4.988 + 2*t^5.302 + t^5.529 + 4*t^5.686 - 2*t^6. - t^4.169/y - t^4.169*y | detail | |
| 48208 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6274 | 0.7602 | 0.8253 | [M:[1.1249, 0.7343, 0.8751, 0.8751, 1.2188], q:[0.5079, 0.3672], qb:[0.7578, 0.8047], phi:[0.3906]] | t^2.203 + 2*t^2.625 + t^3.375 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.219 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + t^4.969 + 2*t^5.25 + 2*t^5.719 - t^6. - t^4.172/y - t^4.172*y | detail | |
| 48131 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6657 | 0.832 | 0.8002 | [M:[1.1198, 0.7298, 0.8802, 0.8802, 0.6797], q:[0.5153, 0.3649], qb:[0.7549, 0.805], phi:[0.39]] | t^2.039 + t^2.189 + t^2.34 + 2*t^2.641 + t^3.359 + t^3.51 + t^3.811 + t^4.078 + t^4.228 + t^4.262 + 2*t^4.379 + 2*t^4.529 + 4*t^4.68 + t^4.83 + 3*t^4.98 + 2*t^5.281 + t^5.398 + t^5.549 + 3*t^5.699 + t^5.85 - t^6. - t^4.17/y - t^4.17*y | detail | |
| 48301 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.6596 | 0.817 | 0.8073 | [M:[1.1276, 0.7366, 0.8724, 0.8724, 0.8272], q:[0.5041, 0.3683], qb:[0.7593, 0.8045], phi:[0.3909]] | t^2.21 + t^2.346 + t^2.481 + 2*t^2.617 + t^3.383 + t^3.79 + t^3.926 + t^4.198 + t^4.42 + 2*t^4.556 + 3*t^4.691 + 2*t^4.827 + 4*t^4.963 + 2*t^5.099 + 2*t^5.235 + 2*t^5.728 - t^6. - t^4.173/y - t^4.173*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46239 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6973 | 0.8533 | 0.8172 | [M:[1.0, 0.912, 1.0, 0.672], q:[0.544, 0.456], qb:[0.544, 0.792], phi:[0.416]] | t^2.016 + t^2.496 + t^2.736 + 2*t^3. + t^3.744 + 2*t^4.008 + t^4.032 + 2*t^4.248 + 4*t^4.512 + t^4.752 + t^4.992 + 2*t^5.016 + t^5.232 + t^5.472 + 2*t^5.496 + t^5.76 - 2*t^6. - t^4.248/y - t^4.248*y | detail |