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 |
|---|---|---|---|---|---|---|---|---|---|
| 2184 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6908 | 0.8766 | 0.788 | [M:[1.1459, 1.0937, 0.9324, 0.8541, 0.8541, 0.6928, 0.7188], q:[0.7734, 0.3464], qb:[0.5077, 0.5599], phi:[0.4531]] | [M:[[8], [-4], [10], [-8], [-8], [6], [12]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}$ | -2 | t^2.078 + t^2.157 + 2*t^2.562 + t^2.719 + t^2.797 + t^3.281 + t^3.359 + t^4. + t^4.078 + t^4.157 + t^4.235 + t^4.313 + t^4.406 + t^4.562 + 2*t^4.641 + 3*t^4.719 + t^4.797 + 2*t^4.875 + t^4.954 + 3*t^5.125 + 2*t^5.281 + 2*t^5.359 + 3*t^5.438 + t^5.516 + t^5.594 + t^5.843 + 2*t^5.922 - 2*t^6. + 2*t^6.078 + 2*t^6.157 + 2*t^6.235 + t^6.313 + t^6.391 + t^6.47 + 2*t^6.562 + t^6.641 + 2*t^6.719 + 4*t^6.797 + 4*t^6.875 + 2*t^6.954 + 2*t^6.968 + 2*t^7.032 + t^7.11 + 2*t^7.125 + 2*t^7.203 + 4*t^7.281 + 2*t^7.359 + 5*t^7.438 + 4*t^7.516 + 3*t^7.594 + 2*t^7.672 + 4*t^7.687 + t^7.751 + t^7.843 + t^7.922 + 3*t^8. + 2*t^8.157 + 3*t^8.235 + 3*t^8.313 + 3*t^8.391 + t^8.406 + t^8.47 + 2*t^8.484 + t^8.548 - 5*t^8.562 + t^8.626 + t^8.641 + t^8.719 + t^8.797 + t^8.812 + 3*t^8.875 + 6*t^8.954 + t^8.968 - t^4.359/y - t^6.438/y - t^6.516/y - t^6.922/y - t^7.157/y + t^7.235/y + t^7.562/y + (2*t^7.641)/y + (2*t^7.719)/y + (2*t^7.797)/y + (2*t^7.875)/y + t^7.954/y + t^8.125/y + t^8.203/y + (3*t^8.281)/y + (3*t^8.359)/y + (2*t^8.438)/y + t^8.516/y - t^8.594/y - t^8.672/y + (2*t^8.843)/y + (2*t^8.922)/y - t^4.359*y - t^6.438*y - t^6.516*y - t^6.922*y - t^7.157*y + t^7.235*y + t^7.562*y + 2*t^7.641*y + 2*t^7.719*y + 2*t^7.797*y + 2*t^7.875*y + t^7.954*y + t^8.125*y + t^8.203*y + 3*t^8.281*y + 3*t^8.359*y + 2*t^8.438*y + t^8.516*y - t^8.594*y - t^8.672*y + 2*t^8.843*y + 2*t^8.922*y | g1^6*t^2.078 + g1^12*t^2.157 + (2*t^2.562)/g1^8 + g1^4*t^2.719 + g1^10*t^2.797 + t^3.281/g1^4 + g1^2*t^3.359 + t^4. + g1^6*t^4.078 + g1^12*t^4.157 + g1^18*t^4.235 + g1^24*t^4.313 + t^4.406/g1^20 + t^4.562/g1^8 + (2*t^4.641)/g1^2 + 3*g1^4*t^4.719 + g1^10*t^4.797 + 2*g1^16*t^4.875 + g1^22*t^4.954 + (3*t^5.125)/g1^16 + (2*t^5.281)/g1^4 + 2*g1^2*t^5.359 + 3*g1^8*t^5.438 + g1^14*t^5.516 + g1^20*t^5.594 + t^5.843/g1^12 + (2*t^5.922)/g1^6 - 2*t^6. + 2*g1^6*t^6.078 + 2*g1^12*t^6.157 + 2*g1^18*t^6.235 + g1^24*t^6.313 + g1^30*t^6.391 + g1^36*t^6.47 + (2*t^6.562)/g1^8 + t^6.641/g1^2 + 2*g1^4*t^6.719 + 4*g1^10*t^6.797 + 4*g1^16*t^6.875 + 2*g1^22*t^6.954 + (2*t^6.968)/g1^28 + 2*g1^28*t^7.032 + g1^34*t^7.11 + (2*t^7.125)/g1^16 + (2*t^7.203)/g1^10 + (4*t^7.281)/g1^4 + 2*g1^2*t^7.359 + 5*g1^8*t^7.438 + 4*g1^14*t^7.516 + 3*g1^20*t^7.594 + 2*g1^26*t^7.672 + (4*t^7.687)/g1^24 + g1^32*t^7.751 + t^7.843/g1^12 + t^7.922/g1^6 + 3*t^8. + 2*g1^12*t^8.157 + 3*g1^18*t^8.235 + 3*g1^24*t^8.313 + 3*g1^30*t^8.391 + t^8.406/g1^20 + g1^36*t^8.47 + (2*t^8.484)/g1^14 + g1^42*t^8.548 - (5*t^8.562)/g1^8 + g1^48*t^8.626 + t^8.641/g1^2 + g1^4*t^8.719 + g1^10*t^8.797 + t^8.812/g1^40 + 3*g1^16*t^8.875 + 6*g1^22*t^8.954 + t^8.968/g1^28 - (g1^2*t^4.359)/y - (g1^8*t^6.438)/y - (g1^14*t^6.516)/y - t^6.922/(g1^6*y) - (g1^12*t^7.157)/y + (g1^18*t^7.235)/y + t^7.562/(g1^8*y) + (2*t^7.641)/(g1^2*y) + (2*g1^4*t^7.719)/y + (2*g1^10*t^7.797)/y + (2*g1^16*t^7.875)/y + (g1^22*t^7.954)/y + t^8.125/(g1^16*y) + t^8.203/(g1^10*y) + (3*t^8.281)/(g1^4*y) + (3*g1^2*t^8.359)/y + (2*g1^8*t^8.438)/y + (g1^14*t^8.516)/y - (g1^20*t^8.594)/y - (g1^26*t^8.672)/y + (2*t^8.843)/(g1^12*y) + (2*t^8.922)/(g1^6*y) - g1^2*t^4.359*y - g1^8*t^6.438*y - g1^14*t^6.516*y - (t^6.922*y)/g1^6 - g1^12*t^7.157*y + g1^18*t^7.235*y + (t^7.562*y)/g1^8 + (2*t^7.641*y)/g1^2 + 2*g1^4*t^7.719*y + 2*g1^10*t^7.797*y + 2*g1^16*t^7.875*y + g1^22*t^7.954*y + (t^8.125*y)/g1^16 + (t^8.203*y)/g1^10 + (3*t^8.281*y)/g1^4 + 3*g1^2*t^8.359*y + 2*g1^8*t^8.438*y + g1^14*t^8.516*y - g1^20*t^8.594*y - g1^26*t^8.672*y + (2*t^8.843*y)/g1^12 + (2*t^8.922*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4176 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6471 | 0.827 | 0.7824 | [M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7273, 0.7879, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | 2*t^2.182 + t^2.364 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + 2*t^3.455 + t^4. + t^4.182 + 4*t^4.364 + 2*t^4.545 + t^4.727 + 3*t^4.909 + 3*t^5.091 + 2*t^5.273 + 3*t^5.455 + 6*t^5.636 + 3*t^5.818 - t^6. - t^4.455/y - t^4.455*y | detail | {a: 41339/63888, c: 26417/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 8/11, M6: 26/33, M7: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 4182 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$ | 0.6857 | 0.868 | 0.79 | [M:[1.1672, 1.0831, 0.959, 0.8328, 0.8328, 0.7087, 0.7508, 1.041], q:[0.7708, 0.3544], qb:[0.4784, 0.5626], phi:[0.4585]] | t^2.126 + t^2.252 + 2*t^2.498 + t^2.751 + t^3.123 + t^3.249 + t^3.375 + t^4. + t^4.126 + t^4.246 + t^4.252 + t^4.379 + t^4.498 + t^4.505 + 2*t^4.625 + 3*t^4.751 + t^4.877 + 3*t^4.997 + t^5.003 + 3*t^5.249 + t^5.375 + 3*t^5.502 + 2*t^5.621 + t^5.748 + 3*t^5.874 - 2*t^6. - t^4.375/y - t^4.375*y | detail | |
| 4175 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6677 | 0.8492 | 0.7862 | [M:[1.2381, 1.0476, 1.0476, 0.7619, 0.7619, 0.7619, 0.8571], q:[0.7619, 0.381], qb:[0.381, 0.5714], phi:[0.4762]] | 3*t^2.286 + t^2.571 + t^2.857 + 2*t^3.143 + t^3.429 + t^3.714 + t^4. + 2*t^4.286 + 6*t^4.571 + 4*t^4.857 + 4*t^5.143 + 5*t^5.429 + 6*t^5.714 + t^6. - t^4.429/y - t^4.429*y | detail | {a: 10993/16464, c: 6991/8232, M1: 26/21, M2: 22/21, M3: 22/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 6/7, q1: 16/21, q2: 8/21, qb1: 8/21, qb2: 4/7, phi1: 10/21} |
| 4180 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6824 | 0.8623 | 0.7914 | [M:[1.1539, 1.0897, 0.9424, 0.8461, 0.8461, 0.6988, 0.7309, 1.0897], q:[0.7724, 0.3494], qb:[0.4967, 0.5609], phi:[0.4551]] | t^2.096 + t^2.193 + 2*t^2.538 + t^2.827 + 2*t^3.269 + t^3.365 + t^4. + t^4.096 + t^4.193 + t^4.289 + t^4.346 + t^4.385 + t^4.538 + 2*t^4.635 + 3*t^4.731 + t^4.924 + t^5.02 + 3*t^5.076 + 3*t^5.365 + 3*t^5.462 + t^5.654 + 3*t^5.807 + 2*t^5.904 - 3*t^6. - t^4.365/y - t^4.365*y | detail | |
| 4177 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}q_{2}$ | 0.7015 | 0.8948 | 0.784 | [M:[1.1497, 1.0918, 0.9371, 0.8503, 0.8503, 0.6956, 0.7245, 0.8793], q:[0.773, 0.3478], qb:[0.5026, 0.5604], phi:[0.4541]] | t^2.087 + t^2.173 + 2*t^2.551 + t^2.638 + t^2.724 + t^2.811 + t^3.276 + t^4. + t^4.087 + t^4.173 + t^4.26 + t^4.347 + t^4.378 + t^4.551 + 2*t^4.638 + 4*t^4.724 + 2*t^4.811 + 2*t^4.898 + t^4.985 + 3*t^5.102 + 2*t^5.189 + 3*t^5.276 + 3*t^5.362 + 3*t^5.449 + t^5.622 + t^5.827 + t^5.913 - 2*t^6. - t^4.362/y - t^4.362*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1162 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6708 | 0.8396 | 0.799 | [M:[1.1552, 1.0891, 0.944, 0.8448, 0.8448, 0.6997], q:[0.7723, 0.3499], qb:[0.495, 0.5611], phi:[0.4555]] | t^2.099 + 2*t^2.534 + t^2.733 + t^2.832 + t^3.267 + t^3.366 + t^3.802 + t^4. + t^4.099 + t^4.198 + t^4.336 + t^4.534 + 2*t^4.634 + t^4.733 + t^4.832 + t^4.931 + 3*t^5.069 + 2*t^5.267 + 2*t^5.366 + 2*t^5.466 + t^5.664 + t^5.802 + 3*t^5.901 - 2*t^6. - t^4.366/y - t^4.366*y | detail |