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 |
|---|---|---|---|---|---|---|---|---|---|
| 3002 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6997 | 0.8922 | 0.7843 | [M:[1.0797, 0.7608, 0.6902, 1.1503, 0.8497, 0.6902], q:[0.5399, 0.3804], qb:[0.7699, 0.4693], phi:[0.4601]] | [M:[[4], [-12], [-3], [-5], [5], [-3]], q:[[2], [-6]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -1 | 2*t^2.071 + t^2.282 + t^2.549 + t^2.761 + t^3.028 + t^3.239 + t^3.451 + t^3.663 + 4*t^4.141 + t^4.196 + 2*t^4.353 + t^4.408 + t^4.565 + 3*t^4.62 + 3*t^4.831 + t^5.043 + 3*t^5.098 + 4*t^5.31 + 3*t^5.522 + t^5.577 + 2*t^5.733 + t^5.788 + t^5.945 - t^6. + t^6.055 + 6*t^6.212 + 2*t^6.267 + 5*t^6.423 + 2*t^6.478 + 2*t^6.635 + 6*t^6.69 + t^6.745 + t^6.847 + 6*t^6.902 + t^6.957 + 3*t^7.114 + 4*t^7.169 + t^7.224 + 2*t^7.325 + 6*t^7.38 + t^7.435 + 6*t^7.592 + 3*t^7.647 + 5*t^7.804 + 2*t^7.859 + 2*t^8.016 - 2*t^8.071 + 2*t^8.126 + t^8.227 + 7*t^8.282 + 3*t^8.337 + t^8.392 + 7*t^8.494 + 2*t^8.604 + 5*t^8.706 + 7*t^8.761 + 3*t^8.816 + 2*t^8.917 + 9*t^8.972 - t^4.38/y - (2*t^6.451)/y - t^6.663/y + t^7.141/y + (2*t^7.353)/y + (2*t^7.62)/y + (3*t^7.831)/y + t^8.043/y + (3*t^8.098)/y + (6*t^8.31)/y + t^8.577/y + t^8.733/y + (2*t^8.788)/y - t^4.38*y - 2*t^6.451*y - t^6.663*y + t^7.141*y + 2*t^7.353*y + 2*t^7.62*y + 3*t^7.831*y + t^8.043*y + 3*t^8.098*y + 6*t^8.31*y + t^8.577*y + t^8.733*y + 2*t^8.788*y | (2*t^2.071)/g1^3 + t^2.282/g1^12 + g1^5*t^2.549 + t^2.761/g1^4 + g1^13*t^3.028 + g1^4*t^3.239 + t^3.451/g1^5 + t^3.663/g1^14 + (4*t^4.141)/g1^6 + g1^20*t^4.196 + (2*t^4.353)/g1^15 + g1^11*t^4.408 + t^4.565/g1^24 + 3*g1^2*t^4.62 + (3*t^4.831)/g1^7 + t^5.043/g1^16 + 3*g1^10*t^5.098 + 4*g1*t^5.31 + (3*t^5.522)/g1^8 + g1^18*t^5.577 + (2*t^5.733)/g1^17 + g1^9*t^5.788 + t^5.945/g1^26 - t^6. + g1^26*t^6.055 + (6*t^6.212)/g1^9 + 2*g1^17*t^6.267 + (5*t^6.423)/g1^18 + 2*g1^8*t^6.478 + (2*t^6.635)/g1^27 + (6*t^6.69)/g1 + g1^25*t^6.745 + t^6.847/g1^36 + (6*t^6.902)/g1^10 + g1^16*t^6.957 + (3*t^7.114)/g1^19 + 4*g1^7*t^7.169 + g1^33*t^7.224 + (2*t^7.325)/g1^28 + (6*t^7.38)/g1^2 + g1^24*t^7.435 + (6*t^7.592)/g1^11 + 3*g1^15*t^7.647 + (5*t^7.804)/g1^20 + 2*g1^6*t^7.859 + (2*t^8.016)/g1^29 - (2*t^8.071)/g1^3 + 2*g1^23*t^8.126 + t^8.227/g1^38 + (7*t^8.282)/g1^12 + 3*g1^14*t^8.337 + g1^40*t^8.392 + (7*t^8.494)/g1^21 + 2*g1^31*t^8.604 + (5*t^8.706)/g1^30 + (7*t^8.761)/g1^4 + 3*g1^22*t^8.816 + (2*t^8.917)/g1^39 + (9*t^8.972)/g1^13 - t^4.38/(g1^2*y) - (2*t^6.451)/(g1^5*y) - t^6.663/(g1^14*y) + t^7.141/(g1^6*y) + (2*t^7.353)/(g1^15*y) + (2*g1^2*t^7.62)/y + (3*t^7.831)/(g1^7*y) + t^8.043/(g1^16*y) + (3*g1^10*t^8.098)/y + (6*g1*t^8.31)/y + (g1^18*t^8.577)/y + t^8.733/(g1^17*y) + (2*g1^9*t^8.788)/y - (t^4.38*y)/g1^2 - (2*t^6.451*y)/g1^5 - (t^6.663*y)/g1^14 + (t^7.141*y)/g1^6 + (2*t^7.353*y)/g1^15 + 2*g1^2*t^7.62*y + (3*t^7.831*y)/g1^7 + (t^8.043*y)/g1^16 + 3*g1^10*t^8.098*y + 6*g1*t^8.31*y + g1^18*t^8.577*y + (t^8.733*y)/g1^17 + 2*g1^9*t^8.788*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 |
|---|---|---|---|---|---|---|---|---|
| 3630 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6996 | 0.892 | 0.7844 | [M:[1.0769, 0.7692, 0.6923, 1.1538, 0.8462, 0.6923], q:[0.5385, 0.3846], qb:[0.7692, 0.4615], phi:[0.4615]] | 2*t^2.077 + t^2.308 + t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + t^3.692 + 5*t^4.154 + 3*t^4.385 + 4*t^4.615 + 3*t^4.846 + 4*t^5.077 + 4*t^5.308 + 4*t^5.538 + 3*t^5.769 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 12297/17576, c: 15677/17576, M1: 14/13, M2: 10/13, M3: 9/13, M4: 15/13, M5: 11/13, M6: 9/13, q1: 7/13, q2: 5/13, qb1: 10/13, qb2: 6/13, phi1: 6/13} |
| 3631 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.7131 | 0.915 | 0.7793 | [M:[1.0758, 0.7725, 0.6931, 1.1552, 0.8448, 0.6931, 0.8448], q:[0.5379, 0.3862], qb:[0.769, 0.4586], phi:[0.4621]] | 2*t^2.079 + t^2.317 + 2*t^2.534 + t^2.772 + t^2.989 + t^3.228 + t^3.704 + t^4.138 + 4*t^4.159 + t^4.376 + 2*t^4.397 + 5*t^4.614 + t^4.635 + 4*t^4.852 + 5*t^5.069 + t^5.09 + 5*t^5.307 + 2*t^5.524 + t^5.545 + 2*t^5.762 + t^5.783 + t^5.979 - 2*t^6. - t^4.386/y - t^4.386*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1953 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6791 | 0.8522 | 0.7969 | [M:[1.0793, 0.762, 0.6905, 1.1508, 0.8492], q:[0.5397, 0.381], qb:[0.7698, 0.4682], phi:[0.4603]] | t^2.071 + t^2.286 + t^2.548 + t^2.762 + t^3.024 + t^3.238 + t^3.452 + t^3.667 + t^3.929 + 2*t^4.143 + t^4.19 + t^4.357 + t^4.405 + t^4.572 + 2*t^4.619 + 2*t^4.833 + t^5.048 + 2*t^5.095 + 3*t^5.31 + 2*t^5.524 + t^5.571 + t^5.738 + t^5.786 + t^5.953 - t^4.381/y - t^4.381*y | detail |