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 |
|---|---|---|---|---|---|---|---|---|---|
| 47190 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.7092 | 0.8704 | 0.8148 | [M:[1.0025, 0.8407, 0.9975, 1.0531, 0.8964, 0.9975], q:[0.5265, 0.4709], qb:[0.6327, 0.476], phi:[0.4735]] | [M:[[1, 1], [-6, 0], [-1, -1], [2, 0], [-3, 1], [-1, -1]], q:[[1, 0], [-2, -1]], qb:[[5, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$ | ${}$ | -3 | t^2.522 + t^2.689 + t^2.841 + 2*t^2.992 + t^3.159 + t^3.326 + t^4.246 + t^4.261 + t^4.276 + t^4.413 + t^4.428 + t^4.58 + t^4.731 + t^4.747 + t^4.898 + t^5.044 + t^5.211 + t^5.217 + t^5.363 + t^5.378 + t^5.514 + 3*t^5.681 + t^5.833 + t^5.848 + 2*t^5.985 - 3*t^6. + t^6.152 + t^6.319 - t^6.47 + t^6.652 + t^6.768 + t^6.783 + t^6.798 + t^6.935 + t^6.95 + t^6.965 + t^7.086 + 2*t^7.102 + 2*t^7.117 + 2*t^7.238 + 2*t^7.253 + 3*t^7.269 + t^7.405 + t^7.42 + t^7.566 + 2*t^7.572 + t^7.587 + t^7.603 + t^7.724 + t^7.733 + t^7.739 + t^7.885 + t^7.9 + t^8.037 + t^8.058 + t^8.067 + t^8.073 + 3*t^8.204 + t^8.209 + 2*t^8.37 + t^8.492 + t^8.507 - t^8.522 + t^8.537 + t^8.543 + t^8.553 + t^8.658 + 3*t^8.674 - 3*t^8.689 + t^8.704 + t^8.825 - 2*t^8.841 - t^8.856 + 3*t^8.977 - 5*t^8.992 - t^4.42/y - t^6.942/y - t^7.109/y - t^7.413/y + t^7.428/y + t^7.731/y + t^7.898/y + t^8.211/y + t^8.363/y + (2*t^8.514)/y + t^8.53/y + (3*t^8.681)/y + (2*t^8.833)/y + (2*t^8.848)/y + t^8.985/y - t^4.42*y - t^6.942*y - t^7.109*y - t^7.413*y + t^7.428*y + t^7.731*y + t^7.898*y + t^8.211*y + t^8.363*y + 2*t^8.514*y + t^8.53*y + 3*t^8.681*y + 2*t^8.833*y + 2*t^8.848*y + t^8.985*y | t^2.522/g1^6 + (g2*t^2.689)/g1^3 + t^2.841/g1^2 + (2*t^2.992)/(g1*g2) + g1^2*t^3.159 + g1^5*g2*t^3.326 + t^4.246/(g1^5*g2^2) + t^4.261/g1^3 + (g2^2*t^4.276)/g1 + t^4.413/(g1^2*g2) + g2*t^4.428 + g1*t^4.58 + (g1^2*t^4.731)/g2 + g1^4*g2*t^4.747 + g1^5*t^4.898 + t^5.044/g1^12 + (g2*t^5.211)/g1^9 + g1^9*t^5.217 + t^5.363/g1^8 + (g2^2*t^5.378)/g1^6 + t^5.514/(g1^7*g2) + (3*t^5.681)/g1^4 + t^5.833/(g1^3*g2) + (g2*t^5.848)/g1 + (2*t^5.985)/(g1^2*g2^2) - 3*t^6. + (g1*t^6.152)/g2 + g1^4*t^6.319 - (g1^5*t^6.47)/g2 + g1^10*g2^2*t^6.652 + t^6.768/(g1^11*g2^2) + t^6.783/g1^9 + (g2^2*t^6.798)/g1^7 + t^6.935/(g1^8*g2) + (g2*t^6.95)/g1^6 + (g2^3*t^6.965)/g1^4 + t^7.086/(g1^7*g2^2) + (2*t^7.102)/g1^5 + (2*g2^2*t^7.117)/g1^3 + (2*t^7.238)/(g1^6*g2^3) + (2*t^7.253)/(g1^4*g2) + (3*g2*t^7.269)/g1^2 + t^7.405/(g1^3*g2^2) + t^7.42/g1 + t^7.566/g1^18 + (2*t^7.572)/g2 + g1^2*g2*t^7.587 + g1^4*g2^3*t^7.603 + (g1*t^7.724)/g2^2 + (g2*t^7.733)/g1^15 + g1^3*t^7.739 + t^7.885/g1^14 + (g2^2*t^7.9)/g1^12 + t^8.037/(g1^13*g2) + g1^7*t^8.058 + (g2^3*t^8.067)/g1^9 + g1^9*g2^2*t^8.073 + (3*t^8.204)/g1^10 + (g1^8*t^8.209)/g2 + (2*g2*t^8.37)/g1^7 + t^8.492/(g1^10*g2^4) + t^8.507/(g1^8*g2^2) - t^8.522/g1^6 + (g2^2*t^8.537)/g1^4 + g1^14*g2*t^8.543 + (g2^4*t^8.553)/g1^2 + t^8.658/(g1^7*g2^3) + (3*t^8.674)/(g1^5*g2) - (3*g2*t^8.689)/g1^3 + (g2^3*t^8.704)/g1 + t^8.825/(g1^4*g2^2) - (2*t^8.841)/g1^2 - g2^2*t^8.856 + (3*t^8.977)/(g1^3*g2^3) - (5*t^8.992)/(g1*g2) - t^4.42/(g1*y) - t^6.942/(g1^7*y) - (g2*t^7.109)/(g1^4*y) - t^7.413/(g1^2*g2*y) + (g2*t^7.428)/y + (g1^2*t^7.731)/(g2*y) + (g1^5*t^7.898)/y + (g2*t^8.211)/(g1^9*y) + t^8.363/(g1^8*y) + (2*t^8.514)/(g1^7*g2*y) + (g2*t^8.53)/(g1^5*y) + (3*t^8.681)/(g1^4*y) + (2*t^8.833)/(g1^3*g2*y) + (2*g2*t^8.848)/(g1*y) + t^8.985/(g1^2*g2^2*y) - (t^4.42*y)/g1 - (t^6.942*y)/g1^7 - (g2*t^7.109*y)/g1^4 - (t^7.413*y)/(g1^2*g2) + g2*t^7.428*y + (g1^2*t^7.731*y)/g2 + g1^5*t^7.898*y + (g2*t^8.211*y)/g1^9 + (t^8.363*y)/g1^8 + (2*t^8.514*y)/(g1^7*g2) + (g2*t^8.53*y)/g1^5 + (3*t^8.681*y)/g1^4 + (2*t^8.833*y)/(g1^3*g2) + (2*g2*t^8.848*y)/g1 + (t^8.985*y)/(g1^2*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 55475 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{4}M_{7}$ | 0.7145 | 0.8801 | 0.8118 | [M:[1.0032, 0.8193, 0.9968, 1.0602, 0.8828, 0.9968, 0.9398], q:[0.5301, 0.4666], qb:[0.6506, 0.4731], phi:[0.4699]] | t^2.458 + t^2.648 + 2*t^2.819 + 2*t^2.99 + t^3.371 + t^4.21 + t^4.229 + t^4.248 + t^4.4 + t^4.419 + t^4.59 + t^4.761 + t^4.781 + t^4.916 + t^4.952 + t^5.106 + 2*t^5.277 + t^5.297 + t^5.313 + t^5.448 + t^5.468 + 4*t^5.639 + 3*t^5.81 + 2*t^5.981 - 4*t^6. - t^4.41/y - t^4.41*y | detail | |
| 55435 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{5}^{2}$ | 0.6999 | 0.8585 | 0.8152 | [M:[1.0504, 0.9245, 0.9496, 1.0252, 1.0, 0.9496], q:[0.5126, 0.437], qb:[0.563, 0.5378], phi:[0.4874]] | t^2.773 + 2*t^2.849 + t^2.924 + t^3. + t^3.076 + t^3.302 + t^4.085 + t^4.311 + t^4.387 + t^4.462 + t^4.538 + t^4.613 + 2*t^4.689 + t^4.764 + t^4.84 + t^5.547 + t^5.622 + 3*t^5.698 + 2*t^5.773 + 3*t^5.849 + t^5.924 - 2*t^6. - t^4.462/y - t^4.462*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46681 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.7101 | 0.8727 | 0.8137 | [M:[0.9774, 0.8432, 1.0226, 1.0523, 0.8729], q:[0.5261, 0.4964], qb:[0.6307, 0.4513], phi:[0.4739]] | t^2.53 + t^2.619 + t^2.843 + t^2.932 + t^3.068 + t^3.157 + t^3.246 + t^4.129 + t^4.265 + t^4.354 + t^4.4 + t^4.489 + t^4.578 + t^4.668 + t^4.803 + t^4.892 + t^5.059 + t^5.148 + t^5.206 + t^5.237 + t^5.373 + t^5.462 + t^5.551 + 2*t^5.686 + 2*t^5.776 + t^5.865 - 2*t^6. - t^4.422/y - t^4.422*y | detail |