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 |
|---|---|---|---|---|---|---|---|---|---|
| 3496 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.651 | 0.8665 | 0.7513 | [M:[0.9534, 1.1397, 0.9534, 0.8603, 0.6918, 0.7095, 0.8603], q:[0.7384, 0.3082], qb:[0.4767, 0.3836], phi:[0.5233]] | [M:[[4], [-12], [4], [12], [5], [-18], [12]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | 2*t^2.075 + t^2.129 + t^2.355 + 2*t^2.581 + 2*t^2.86 + t^3.366 + 2*t^3.645 + 4*t^4.151 + 2*t^4.204 + t^4.257 + 3*t^4.43 + t^4.483 + 4*t^4.656 + 3*t^4.71 + 6*t^4.936 + 2*t^4.989 + 3*t^5.162 + 2*t^5.215 + 6*t^5.441 + 6*t^5.721 + t^5.774 + 2*t^5.947 - 2*t^6. + 10*t^6.226 + t^6.279 + 2*t^6.332 + t^6.386 + 6*t^6.506 + 3*t^6.559 + t^6.612 + 8*t^6.732 + 3*t^6.785 + 3*t^6.838 + 14*t^7.011 + 4*t^7.064 + 2*t^7.117 + 6*t^7.237 + 8*t^7.29 + t^7.344 + 14*t^7.517 + t^7.57 + 4*t^7.743 + 13*t^7.796 + t^7.849 + t^7.902 + 10*t^8.022 - 3*t^8.075 - 3*t^8.129 + 20*t^8.302 - 2*t^8.355 + t^8.408 + 2*t^8.461 + t^8.514 + 3*t^8.528 + 6*t^8.581 + t^8.634 + 3*t^8.687 + t^8.74 + 18*t^8.807 - 6*t^8.86 + 3*t^8.913 + 3*t^8.967 - t^4.57/y - t^6.645/y - t^6.698/y + (2*t^7.204)/y + t^7.43/y + t^7.483/y + (4*t^7.656)/y + (3*t^7.71)/y + (6*t^7.936)/y + (3*t^7.989)/y + t^8.162/y + (2*t^8.215)/y + (7*t^8.441)/y + (2*t^8.494)/y + (5*t^8.721)/y + t^8.774/y - t^8.827/y + (2*t^8.947)/y - t^4.57*y - t^6.645*y - t^6.698*y + 2*t^7.204*y + t^7.43*y + t^7.483*y + 4*t^7.656*y + 3*t^7.71*y + 6*t^7.936*y + 3*t^7.989*y + t^8.162*y + 2*t^8.215*y + 7*t^8.441*y + 2*t^8.494*y + 5*t^8.721*y + t^8.774*y - t^8.827*y + 2*t^8.947*y | 2*g1^5*t^2.075 + t^2.129/g1^18 + t^2.355/g1^3 + 2*g1^12*t^2.581 + 2*g1^4*t^2.86 + g1^11*t^3.366 + 2*g1^3*t^3.645 + 4*g1^10*t^4.151 + (2*t^4.204)/g1^13 + t^4.257/g1^36 + 3*g1^2*t^4.43 + t^4.483/g1^21 + 4*g1^17*t^4.656 + (3*t^4.71)/g1^6 + 6*g1^9*t^4.936 + (2*t^4.989)/g1^14 + 3*g1^24*t^5.162 + 2*g1*t^5.215 + 6*g1^16*t^5.441 + 6*g1^8*t^5.721 + t^5.774/g1^15 + 2*g1^23*t^5.947 - 2*t^6. + 10*g1^15*t^6.226 + t^6.279/g1^8 + (2*t^6.332)/g1^31 + t^6.386/g1^54 + 6*g1^7*t^6.506 + (3*t^6.559)/g1^16 + t^6.612/g1^39 + 8*g1^22*t^6.732 + (3*t^6.785)/g1 + (3*t^6.838)/g1^24 + 14*g1^14*t^7.011 + (4*t^7.064)/g1^9 + (2*t^7.117)/g1^32 + 6*g1^29*t^7.237 + 8*g1^6*t^7.29 + t^7.344/g1^17 + 14*g1^21*t^7.517 + t^7.57/g1^2 + 4*g1^36*t^7.743 + 13*g1^13*t^7.796 + t^7.849/g1^10 + t^7.902/g1^33 + 10*g1^28*t^8.022 - 3*g1^5*t^8.075 - (3*t^8.129)/g1^18 + 20*g1^20*t^8.302 - (2*t^8.355)/g1^3 + t^8.408/g1^26 + (2*t^8.461)/g1^49 + t^8.514/g1^72 + 3*g1^35*t^8.528 + 6*g1^12*t^8.581 + t^8.634/g1^11 + (3*t^8.687)/g1^34 + t^8.74/g1^57 + 18*g1^27*t^8.807 - 6*g1^4*t^8.86 + (3*t^8.913)/g1^19 + (3*t^8.967)/g1^42 - t^4.57/(g1^2*y) - (g1^3*t^6.645)/y - t^6.698/(g1^20*y) + (2*t^7.204)/(g1^13*y) + (g1^2*t^7.43)/y + t^7.483/(g1^21*y) + (4*g1^17*t^7.656)/y + (3*t^7.71)/(g1^6*y) + (6*g1^9*t^7.936)/y + (3*t^7.989)/(g1^14*y) + (g1^24*t^8.162)/y + (2*g1*t^8.215)/y + (7*g1^16*t^8.441)/y + (2*t^8.494)/(g1^7*y) + (5*g1^8*t^8.721)/y + t^8.774/(g1^15*y) - t^8.827/(g1^38*y) + (2*g1^23*t^8.947)/y - (t^4.57*y)/g1^2 - g1^3*t^6.645*y - (t^6.698*y)/g1^20 + (2*t^7.204*y)/g1^13 + g1^2*t^7.43*y + (t^7.483*y)/g1^21 + 4*g1^17*t^7.656*y + (3*t^7.71*y)/g1^6 + 6*g1^9*t^7.936*y + (3*t^7.989*y)/g1^14 + g1^24*t^8.162*y + 2*g1*t^8.215*y + 7*g1^16*t^8.441*y + (2*t^8.494*y)/g1^7 + 5*g1^8*t^8.721*y + (t^8.774*y)/g1^15 - (t^8.827*y)/g1^38 + 2*g1^23*t^8.947*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 |
|---|---|---|---|---|---|---|---|---|
| 5151 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.6468 | 0.8588 | 0.7532 | [M:[0.9564, 1.1307, 0.9564, 0.8693, 0.6955, 0.6961, 0.8693, 1.0436], q:[0.7391, 0.3045], qb:[0.4782, 0.3911], phi:[0.5218]] | 2*t^2.087 + t^2.088 + t^2.348 + 2*t^2.608 + t^2.869 + t^3.131 + t^3.391 + 2*t^3.652 + 4*t^4.173 + 2*t^4.175 + t^4.176 + 3*t^4.435 + t^4.436 + 4*t^4.694 + 3*t^4.696 + 4*t^4.956 + t^4.957 + 3*t^5.216 + 3*t^5.217 + t^5.219 + 4*t^5.477 + t^5.479 + 6*t^5.739 + t^5.74 + 2*t^5.998 - t^6. - t^4.565/y - t^4.565*y | detail | |
| 5158 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0.6508 | 0.8655 | 0.752 | [M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 3*t^2.087 + t^2.348 + 2*t^2.609 + 2*t^2.87 + t^3.391 + 2*t^3.652 + 7*t^4.174 + 4*t^4.435 + 7*t^4.696 + 8*t^4.957 + 5*t^5.217 + 6*t^5.478 + 7*t^5.739 - t^4.565/y - t^4.565*y | detail | {a: 126699/194672, c: 84245/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, M6: 16/23, M7: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
| 5153 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.6684 | 0.897 | 0.7451 | [M:[0.9548, 1.1357, 0.9548, 0.8643, 0.6935, 0.7036, 0.8643, 0.7839], q:[0.7387, 0.3065], qb:[0.4774, 0.3869], phi:[0.5226]] | 2*t^2.08 + t^2.111 + 2*t^2.352 + 2*t^2.593 + 2*t^2.864 + t^3.377 + t^3.648 + 4*t^4.161 + 2*t^4.191 + t^4.221 + 5*t^4.432 + 2*t^4.462 + 4*t^4.673 + 5*t^4.704 + 8*t^4.945 + 2*t^4.975 + 3*t^5.186 + 4*t^5.216 + 6*t^5.457 + 5*t^5.729 + 2*t^5.97 - 2*t^6. - t^4.568/y - t^4.568*y | detail | |
| 5152 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6627 | 0.8851 | 0.7487 | [M:[0.9603, 1.1191, 0.9603, 0.8809, 0.7004, 0.6787, 0.8809, 0.8592], q:[0.7401, 0.2996], qb:[0.4801, 0.4007], phi:[0.5199]] | t^2.036 + 2*t^2.101 + t^2.339 + t^2.578 + 2*t^2.643 + 2*t^2.881 + 2*t^3.661 + t^4.072 + 2*t^4.137 + 4*t^4.202 + t^4.376 + 3*t^4.44 + t^4.614 + 5*t^4.679 + 4*t^4.744 + 3*t^4.917 + 6*t^4.982 + t^5.155 + 4*t^5.22 + 3*t^5.285 + t^5.459 + 4*t^5.523 + t^5.697 + 5*t^5.762 - 2*t^6. - t^4.56/y - t^4.56*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2908 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6396 | 0.8457 | 0.7563 | [M:[0.9614, 1.1157, 0.9614, 0.8843, 0.7018, 0.6736], q:[0.7404, 0.2982], qb:[0.4807, 0.4036], phi:[0.5193]] | t^2.021 + 2*t^2.105 + t^2.337 + t^2.653 + 2*t^2.884 + t^3.347 + t^3.432 + 2*t^3.663 + t^4.042 + 2*t^4.126 + 4*t^4.211 + t^4.358 + 3*t^4.442 + 2*t^4.674 + 2*t^4.758 + 2*t^4.905 + 5*t^4.99 + 2*t^5.221 + t^5.306 + t^5.368 + 2*t^5.453 + 4*t^5.537 + 2*t^5.684 + 6*t^5.769 - t^6. - t^4.558/y - t^4.558*y | detail |