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 |
|---|---|---|---|---|---|---|---|---|---|
| 57447 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.3783 | 1.6061 | 0.8582 | [M:[1.1779, 1.1779], q:[0.3998, 0.3998], qb:[0.4223, 0.3781], phi:[0.4]] | [M:[[1, 0, 1], [-1, -1, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | ${}\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.334 + t^2.4 + 4*t^3.534 + t^3.6 + 2*t^3.666 + 3*t^4.668 + 4*t^4.734 + t^4.736 + 2*t^4.798 + t^4.8 + 2*t^4.866 + t^4.868 + 7*t^5.868 + 6*t^5.934 + t^5.936 + 2*t^5.998 - t^6. + 2*t^6.066 + t^6.068 - t^6.132 + 4*t^7.001 + t^7.003 + 16*t^7.068 + 2*t^7.069 + 3*t^7.132 + 6*t^7.134 + 2*t^7.136 + 6*t^7.198 + 8*t^7.2 - t^7.264 + 2*t^7.266 + 2*t^7.268 + 2*t^7.332 + t^7.401 + 10*t^8.201 + 17*t^8.268 + 4*t^8.269 + 7*t^8.332 + t^8.336 + 2*t^8.398 + 6*t^8.4 + 2*t^8.402 - t^8.464 + t^8.468 + 2*t^8.532 - t^4.2/y - t^5.4/y - (2*t^6.534)/y - t^6.6/y + t^7.668/y - (2*t^7.734)/y - t^7.8/y + (5*t^8.868)/y - t^4.2*y - t^5.4*y - 2*t^6.534*y - t^6.6*y + t^7.668*y - 2*t^7.734*y - t^7.8*y + 5*t^8.868*y | t^2.334/(g1*g2) + g1*g3*t^2.334 + t^2.4 + (2*t^3.534)/(g1*g2) + 2*g1*g3*t^3.534 + t^3.6 + g1*g2*t^3.666 + t^3.666/(g1*g3) + t^4.668/(g1^2*g2^2) + (g3*t^4.668)/g2 + g1^2*g3^2*t^4.668 + (2*t^4.734)/(g1*g2) + 2*g1*g3*t^4.734 + g2*g3^2*t^4.736 + t^4.798/(g1*g2^2*g3^2) + (g1*t^4.798)/(g2*g3) + t^4.8 + g1*g2*t^4.866 + t^4.866/(g1*g3) + g2^2*g3*t^4.868 + (2*t^5.868)/(g1^2*g2^2) + (3*g3*t^5.868)/g2 + 2*g1^2*g3^2*t^5.868 + (3*t^5.934)/(g1*g2) + 3*g1*g3*t^5.934 + g2*g3^2*t^5.936 + t^5.998/(g1*g2^2*g3^2) + (g1*t^5.998)/(g2*g3) - t^6. + g1*g2*t^6.066 + t^6.066/(g1*g3) + g2^2*g3*t^6.068 - (g2*t^6.132)/g3 + t^7.001/(g1^3*g2^3) + (g3*t^7.001)/(g1*g2^2) + (g1*g3^2*t^7.001)/g2 + g1^3*g3^3*t^7.001 + g3^3*t^7.003 + (5*t^7.068)/(g1^2*g2^2) + (6*g3*t^7.068)/g2 + 5*g1^2*g3^2*t^7.068 + (g3^2*t^7.069)/g1 + g1*g2*g3^3*t^7.069 + (g1^2*t^7.132)/g2 + t^7.132/(g1^2*g2^3*g3^2) + t^7.132/(g2^2*g3) + (3*t^7.134)/(g1*g2) + 3*g1*g3*t^7.134 + 2*g2*g3^2*t^7.136 + g1^3*t^7.198 + t^7.198/(g1^3*g2^3*g3^3) + (2*t^7.198)/(g1*g2^2*g3^2) + (2*g1*t^7.198)/(g2*g3) + 4*t^7.2 + (2*t^7.2)/(g1^2*g2*g3) + 2*g1^2*g2*g3*t^7.2 - t^7.264/(g2*g3^2) + g1*g2*t^7.266 + t^7.266/(g1*g3) + 2*g2^2*g3*t^7.268 + g1^2*g2^2*t^7.332 + t^7.332/(g1^2*g3^2) + g2^3*t^7.401 + (2*t^8.201)/(g1^3*g2^3) + (3*g3*t^8.201)/(g1*g2^2) + (3*g1*g3^2*t^8.201)/g2 + 2*g1^3*g3^3*t^8.201 + (5*t^8.268)/(g1^2*g2^2) + (7*g3*t^8.268)/g2 + 5*g1^2*g3^2*t^8.268 + (2*g3^2*t^8.269)/g1 + 2*g1*g2*g3^3*t^8.269 + (2*g1^2*t^8.332)/g2 + (2*t^8.332)/(g1^2*g2^3*g3^2) + (3*t^8.332)/(g2^2*g3) + g2*g3^2*t^8.336 + t^8.398/(g1*g2^2*g3^2) + (g1*t^8.398)/(g2*g3) + 2*t^8.4 + (2*t^8.4)/(g1^2*g2*g3) + 2*g1^2*g2*g3*t^8.4 + (g2*g3*t^8.402)/g1 + g1*g2^2*g3^2*t^8.402 - t^8.464/(g2*g3^2) + g2^2*g3*t^8.468 + g1^2*g2^2*t^8.532 + t^8.532/(g1^2*g3^2) - t^4.2/y - t^5.4/y - t^6.534/(g1*g2*y) - (g1*g3*t^6.534)/y - t^6.6/y + (g3*t^7.668)/(g2*y) - t^7.734/(g1*g2*y) - (g1*g3*t^7.734)/y - t^7.8/y + t^8.868/(g1^2*g2^2*y) + (3*g3*t^8.868)/(g2*y) + (g1^2*g3^2*t^8.868)/y - t^4.2*y - t^5.4*y - (t^6.534*y)/(g1*g2) - g1*g3*t^6.534*y - t^6.6*y + (g3*t^7.668*y)/g2 - (t^7.734*y)/(g1*g2) - g1*g3*t^7.734*y - t^7.8*y + (t^8.868*y)/(g1^2*g2^2) + (3*g3*t^8.868*y)/g2 + g1^2*g3^2*t^8.868*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 |
|---|---|---|---|---|---|---|---|---|
| 59034 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1.3612 | 1.575 | 0.8642 | [X:[], M:[1.1779, 1.2, 1.2], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]] | t^2.33 + t^2.4 + 2*t^3.53 + 5*t^3.6 + t^3.67 + t^4.67 + 2*t^4.73 + 2*t^4.77 + 3*t^4.8 + 2*t^4.83 + t^4.87 + 2*t^5.87 + 5*t^5.93 + 2*t^5.97 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58910 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.2954 | 1.5224 | 0.8509 | [X:[], M:[1.0923, 1.275], q:[0.5942, 0.4116], qb:[0.3135, 0.2807], phi:[0.4]] | t^2.08 + t^2.4 + t^2.62 + 2*t^3.28 + t^3.38 + t^3.6 + 3*t^3.82 + 2*t^3.92 + t^4.15 + 2*t^4.48 + t^4.58 + t^4.7 + t^4.8 + 3*t^5.02 + 2*t^5.12 + t^5.25 + 2*t^5.35 + t^5.45 + 3*t^5.68 + t^5.78 + 4*t^5.9 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 60678 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.2848 | 1.5005 | 0.8562 | [X:[], M:[1.2743, 1.2743], q:[0.2914, 0.2914], qb:[0.4342, 0.5829], phi:[0.4]] | t^2.4 + 2*t^2.62 + 2*t^3.38 + t^3.6 + 6*t^3.82 + 2*t^4.58 + t^4.8 + 6*t^5.02 + 3*t^5.25 + 2*t^5.78 - t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47906 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.3942 | 1.633 | 0.8537 | [M:[1.1779], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]] | t^2.334 + 3*t^2.4 + 2*t^3.534 + 3*t^3.6 + t^3.666 + t^4.668 + 4*t^4.734 + 2*t^4.767 + 8*t^4.8 + 2*t^4.833 + t^4.866 + 2*t^5.868 + 7*t^5.934 + 2*t^5.967 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |