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 |
|---|---|---|---|---|---|---|---|---|---|
| 46233 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.7271 | 0.893 | 0.8142 | [M:[0.7947, 0.7947, 1.0, 1.0], q:[0.654, 0.5513], qb:[0.5513, 0.4487], phi:[0.4487]] | [M:[[1, 5], [-1, 3], [-1, -1], [1, 1]], q:[[0, -3], [-1, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}^{2}$ | ${}M_{3}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -1 | 2*t^2.384 + t^2.692 + 2*t^3. + 2*t^3.308 + t^4.038 + 2*t^4.346 + 4*t^4.654 + 3*t^4.768 + 2*t^4.962 + 2*t^5.076 + t^5.27 + 4*t^5.384 + 2*t^5.692 - t^6. + 2*t^6.422 + t^6.616 + 4*t^6.73 + 8*t^7.038 + 4*t^7.152 + 7*t^7.346 + 3*t^7.46 + 6*t^7.654 + 6*t^7.768 + 3*t^7.962 + 4*t^8.076 - 2*t^8.384 - 2*t^8.692 + 3*t^8.806 - t^4.346/y - (2*t^6.73)/y - t^7.038/y + t^7.654/y + t^7.768/y + (2*t^7.962)/y + (2*t^8.076)/y + (4*t^8.384)/y + (6*t^8.692)/y - t^4.346*y - 2*t^6.73*y - t^7.038*y + t^7.654*y + t^7.768*y + 2*t^7.962*y + 2*t^8.076*y + 4*t^8.384*y + 6*t^8.692*y | (g2^3*t^2.384)/g1 + g1*g2^5*t^2.384 + g2^2*t^2.692 + t^3./(g1*g2) + g1*g2*t^3. + (2*t^3.308)/g2^2 + g2^3*t^4.038 + t^4.346/g1 + g1*g2^2*t^4.346 + t^4.654/(g1^2*g2^3) + (2*t^4.654)/g2 + g1^2*g2*t^4.654 + (g2^6*t^4.768)/g1^2 + g2^8*t^4.768 + g1^2*g2^10*t^4.768 + t^4.962/(g1*g2^4) + (g1*t^4.962)/g2^2 + (g2^5*t^5.076)/g1 + g1*g2^7*t^5.076 + t^5.27/g2^5 + (g2^2*t^5.384)/g1^2 + 2*g2^4*t^5.384 + g1^2*g2^6*t^5.384 + (g2*t^5.692)/g1 + g1*g2^3*t^5.692 - t^6. + (g2^6*t^6.422)/g1 + g1*g2^8*t^6.422 + t^6.616/g2^4 + (g2^3*t^6.73)/g1^2 + 2*g2^5*t^6.73 + g1^2*g2^7*t^6.73 + t^7.038/g1^3 + (3*g2^2*t^7.038)/g1 + 3*g1*g2^4*t^7.038 + g1^3*g2^6*t^7.038 + (g2^9*t^7.152)/g1^3 + (g2^11*t^7.152)/g1 + g1*g2^13*t^7.152 + g1^3*g2^15*t^7.152 + (2*t^7.346)/(g1^2*g2) + 3*g2*t^7.346 + 2*g1^2*g2^3*t^7.346 + (g2^8*t^7.46)/g1^2 + g2^10*t^7.46 + g1^2*g2^12*t^7.46 + 2*g1*t^7.654 + t^7.654/(g1^3*g2^4) + (2*t^7.654)/(g1*g2^2) + g1^3*g2^2*t^7.654 + (g2^5*t^7.768)/g1^3 + (2*g2^7*t^7.768)/g1 + 2*g1*g2^9*t^7.768 + g1^3*g2^11*t^7.768 + t^7.962/(g1^2*g2^5) + t^7.962/g2^3 + (g1^2*t^7.962)/g2 + (g2^4*t^8.076)/g1^2 + 2*g2^6*t^8.076 + g1^2*g2^8*t^8.076 - (g2^3*t^8.384)/g1 - g1*g2^5*t^8.384 - 2*g2^2*t^8.692 + (g2^9*t^8.806)/g1^2 + g2^11*t^8.806 + g1^2*g2^13*t^8.806 - (g2*t^4.346)/y - (g2^4*t^6.73)/(g1*y) - (g1*g2^6*t^6.73)/y - (g2^3*t^7.038)/y + t^7.654/(g2*y) + (g2^8*t^7.768)/y + t^7.962/(g1*g2^4*y) + (g1*t^7.962)/(g2^2*y) + (g2^5*t^8.076)/(g1*y) + (g1*g2^7*t^8.076)/y + (g2^2*t^8.384)/(g1^2*y) + (2*g2^4*t^8.384)/y + (g1^2*g2^6*t^8.384)/y + (3*g2*t^8.692)/(g1*y) + (3*g1*g2^3*t^8.692)/y - g2*t^4.346*y - (g2^4*t^6.73*y)/g1 - g1*g2^6*t^6.73*y - g2^3*t^7.038*y + (t^7.654*y)/g2 + g2^8*t^7.768*y + (t^7.962*y)/(g1*g2^4) + (g1*t^7.962*y)/g2^2 + (g2^5*t^8.076*y)/g1 + g1*g2^7*t^8.076*y + (g2^2*t^8.384*y)/g1^2 + 2*g2^4*t^8.384*y + g1^2*g2^6*t^8.384*y + (3*g2*t^8.692*y)/g1 + 3*g1*g2^3*t^8.692*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 |
|---|---|---|---|---|---|---|---|---|
| 46490 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.6975 | 0.8554 | 0.8154 | [M:[1.018, 0.9098, 0.9459, 1.0541], q:[0.5271, 0.4549], qb:[0.5631, 0.491], phi:[0.491]] | t^2.729 + t^2.838 + t^2.946 + 3*t^3.054 + t^3.162 + t^4.202 + t^4.311 + 2*t^4.419 + 2*t^4.527 + 2*t^4.635 + t^4.743 + t^4.852 + t^5.459 + t^5.567 + t^5.675 + 2*t^5.784 + 2*t^5.892 - t^4.473/y - t^4.473*y | detail | |
| 46674 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.7027 | 0.862 | 0.8151 | [M:[1.0, 0.8673, 0.9336, 1.0664], q:[0.5498, 0.4502], qb:[0.583, 0.4834], phi:[0.4834]] | t^2.602 + t^2.801 + t^2.9 + t^3. + 2*t^3.1 + t^3.199 + t^4.152 + t^4.251 + t^4.351 + t^4.45 + 2*t^4.55 + t^4.649 + t^4.749 + t^4.848 + t^4.948 + t^5.204 + t^5.403 + t^5.502 + t^5.602 + t^5.701 + 2*t^5.801 + t^5.9 - t^4.45/y - t^4.45*y | detail | |
| 46561 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ | 0.7283 | 0.8957 | 0.8131 | [M:[0.82, 0.7699, 0.9749, 1.0251, 0.9749], q:[0.6538, 0.5262], qb:[0.5763, 0.4487], phi:[0.4487]] | t^2.31 + t^2.46 + t^2.692 + 2*t^2.925 + 2*t^3.308 + t^4.039 + t^4.271 + t^4.421 + t^4.503 + t^4.62 + 2*t^4.654 + t^4.77 + t^4.804 + t^4.886 + t^4.92 + t^5.002 + t^5.036 + t^5.153 + 2*t^5.235 + t^5.269 + 2*t^5.385 + 2*t^5.617 + 2*t^5.85 - 2*t^6. - t^4.346/y - t^4.346*y | detail | |
| 46520 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7183 | 0.8774 | 0.8187 | [M:[0.8187, 0.8187, 1.0, 1.0, 1.0906], q:[0.6359, 0.5453], qb:[0.5453, 0.4547], phi:[0.4547]] | 2*t^2.456 + 2*t^3. + 3*t^3.272 + t^4.092 + 2*t^4.364 + 4*t^4.636 + 2*t^4.908 + 3*t^4.912 + t^5.18 + 3*t^5.456 + 2*t^5.728 - 3*t^6. - t^4.364/y - t^4.364*y | detail | |
| 46521 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.7369 | 0.9109 | 0.809 | [M:[0.7723, 0.7723, 1.0, 1.0, 0.8862], q:[0.6707, 0.5569], qb:[0.5569, 0.4431], phi:[0.4431]] | 2*t^2.317 + 2*t^2.659 + 2*t^3. + t^3.341 + t^3.988 + 2*t^4.329 + 3*t^4.634 + 4*t^4.671 + 4*t^4.976 + 2*t^5.012 + 6*t^5.317 + t^5.354 + 2*t^5.659 - t^6. - t^4.329/y - t^4.329*y | detail | |
| 46697 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}X_{1}$ | 0.6208 | 0.7591 | 0.8178 | [X:[1.509], M:[0.491, 0.917, 1.213, 0.787], q:[0.722, 0.787], qb:[0.361, 0.426], phi:[0.426]] | t^2.361 + t^2.556 + t^2.751 + 3*t^3.444 + 2*t^3.639 + t^3.834 + 2*t^4.527 + 2*t^4.722 + t^5.112 + t^5.307 + t^5.502 + t^5.61 + 2*t^5.805 + t^6. - t^4.278/y - t^4.278*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46011 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ | 0.7272 | 0.8931 | 0.8142 | [M:[0.7935, 0.7935, 1.0, 1.0], q:[0.6608, 0.5457], qb:[0.5457, 0.4543], phi:[0.4484]] | 2*t^2.381 + t^2.69 + 2*t^3. + t^3.274 + t^3.345 + t^4.071 + 2*t^4.345 + 3*t^4.619 + t^4.69 + 3*t^4.761 + 2*t^4.965 + 2*t^5.071 + t^5.31 + 4*t^5.381 + 2*t^5.69 + t^5.964 - 3*t^6. - t^4.345/y - t^4.345*y | detail |