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 |
|---|---|---|---|---|---|---|---|---|---|
| 435 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.645 | 0.7913 | 0.8151 | [M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.8049, 0.512], qb:[0.3659, 0.7562], phi:[0.3903]] | [M:[[16], [14], [-16], [-16]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -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 | g1^14*t^2.195 + g1^4*t^2.342 + (2*t^2.634)/g1^16 + g1^16*t^3.366 + g1^6*t^3.512 + t^3.805/g1^14 + t^3.951/g1^24 + t^4.243/g1^44 + g1^28*t^4.391 + 2*g1^18*t^4.537 + 2*g1^8*t^4.683 + t^4.829/g1^2 + (3*t^4.975)/g1^12 + (2*t^5.267)/g1^32 + 3*g1^20*t^5.708 - t^6. + (3*t^6.146)/g1^10 + t^6.438/g1^30 + (3*t^6.584)/g1^40 + g1^42*t^6.586 + g1^32*t^6.733 + (2*t^6.876)/g1^60 + 3*g1^22*t^6.879 + 2*g1^12*t^7.025 + g1^2*t^7.171 + (4*t^7.317)/g1^8 + t^7.463/g1^18 + (3*t^7.609)/g1^28 + t^7.755/g1^38 + (2*t^7.901)/g1^48 + 2*g1^34*t^7.903 + t^8.047/g1^58 + 3*g1^24*t^8.049 + t^8.193/g1^68 - 3*g1^14*t^8.195 + t^8.485/g1^88 + (2*t^8.488)/g1^6 - (4*t^8.634)/g1^16 + (3*t^8.78)/g1^26 + g1^56*t^8.782 + (2*t^8.926)/g1^36 + g1^46*t^8.928 - (g1^2*t^4.171)/y - (g1^16*t^6.366)/y - (g1^6*t^6.512)/y - t^6.805/(g1^14*y) + (2*g1^18*t^7.537)/y + (3*t^7.829)/(g1^2*y) + (3*t^7.975)/(g1^12*y) + t^8.267/(g1^32*y) + (g1^20*t^8.708)/y - g1^2*t^4.171*y - g1^16*t^6.366*y - g1^6*t^6.512*y - (t^6.805*y)/g1^14 + 2*g1^18*t^7.537*y + (3*t^7.829*y)/g1^2 + (3*t^7.975*y)/g1^12 + (t^8.267*y)/g1^32 + g1^20*t^8.708*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 |
|---|---|---|---|---|---|---|---|---|
| 727 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}M_{5}$ | 0.6348 | 0.7738 | 0.8204 | [M:[1.1036, 0.7157, 0.8964, 0.8964, 1.1036], q:[0.806, 0.5385], qb:[0.3578, 0.7458], 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 | |
| 726 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6648 | 0.8279 | 0.8029 | [M:[1.1163, 0.7268, 0.8837, 0.8837, 0.7268], q:[0.8052, 0.5203], qb:[0.3634, 0.7529], 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 | |
| 725 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6274 | 0.7602 | 0.8253 | [M:[1.1249, 0.7343, 0.8751, 0.8751, 1.2188], q:[0.8047, 0.5079], qb:[0.3672, 0.7578], 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 | |
| 1847 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ | 0.6657 | 0.832 | 0.8002 | [M:[1.1198, 0.7298, 0.8802, 0.8802, 0.6797], q:[0.805, 0.5153], qb:[0.3649, 0.7549], 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 | |
| 724 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6596 | 0.817 | 0.8073 | [M:[1.1276, 0.7366, 0.8724, 0.8724, 0.8272], q:[0.8045, 0.5041], qb:[0.3683, 0.7593], 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 |
|---|---|---|---|---|---|---|---|---|---|
| 270 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6973 | 0.8533 | 0.8172 | [M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], 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 |