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 |
|---|---|---|---|---|---|---|---|---|---|
| 57342 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ | 1.2521 | 1.4533 | 0.8616 | [X:[1.4191, 1.3809], M:[0.9809], q:[0.4026, 0.3644], qb:[0.2165, 0.6165], phi:[0.4]] | [X:[[0, -1], [0, 1]], M:[[0, 1]], q:[[-1, -1], [-1, 1]], qb:[[1, 0], [1, 0]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | ${}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | -1 | t^2.4 + 3*t^2.943 + t^3.057 + t^3.6 + 3*t^4.143 + 3*t^4.257 + t^4.349 + t^4.594 + t^4.709 + 4*t^5.343 + 2*t^5.457 + 3*t^5.549 + t^5.794 + 5*t^5.885 + t^5.909 - t^6. - t^6.451 + 5*t^6.543 + 3*t^6.657 + 3*t^6.749 + t^6.879 + 2*t^6.994 + 8*t^7.085 + 2*t^7.109 + 7*t^7.2 + t^7.223 + t^7.291 + 2*t^7.315 - t^7.406 + 2*t^7.537 + 2*t^7.743 + 2*t^7.857 + 3*t^7.949 + t^8.194 + 13*t^8.285 + t^8.309 + 7*t^8.4 + 7*t^8.491 + 6*t^8.515 + t^8.606 + t^8.697 + 3*t^8.737 + 7*t^8.828 + 2*t^8.851 - 8*t^8.943 + t^8.966 - t^4.2/y - t^5.4/y - t^6.6/y - (2*t^7.143)/y - t^7.8/y - t^8.343/y - t^8.457/y + (3*t^8.885)/y - t^4.2*y - t^5.4*y - t^6.6*y - 2*t^7.143*y - t^7.8*y - t^8.343*y - t^8.457*y + 3*t^8.885*y | t^2.4 + 3*g2*t^2.943 + t^3.057/g2 + t^3.6 + 3*g2*t^4.143 + (3*t^4.257)/g2 + g1^3*t^4.349 + (g2*t^4.594)/g1^3 + t^4.709/(g1^3*g2) + 4*g2*t^5.343 + (2*t^5.457)/g2 + 3*g1^3*t^5.549 + (g2*t^5.794)/g1^3 + 5*g2^2*t^5.885 + t^5.909/(g1^3*g2) - t^6. - t^6.451/g1^3 + 5*g2*t^6.543 + (3*t^6.657)/g2 + 3*g1^3*t^6.749 + (g2^3*t^6.879)/g1^3 + (2*g2*t^6.994)/g1^3 + 8*g2^2*t^7.085 + (2*t^7.109)/(g1^3*g2) + 7*t^7.2 + t^7.223/(g1^3*g2^3) + g1^3*g2*t^7.291 + (2*t^7.315)/g2^2 - (g1^3*t^7.406)/g2 + (2*g2^2*t^7.537)/g1^3 + 2*g2*t^7.743 + (2*t^7.857)/g2 + 3*g1^3*t^7.949 + (g2*t^8.194)/g1^3 + 13*g2^2*t^8.285 + t^8.309/(g1^3*g2) + 7*t^8.4 + 7*g1^3*g2*t^8.491 + (6*t^8.515)/g2^2 + (g1^3*t^8.606)/g2 + g1^6*t^8.697 + (3*g2^2*t^8.737)/g1^3 + 7*g2^3*t^8.828 + (2*t^8.851)/g1^3 - 8*g2*t^8.943 + t^8.966/(g1^3*g2^2) - t^4.2/y - t^5.4/y - t^6.6/y - (2*g2*t^7.143)/y - t^7.8/y - (g2*t^8.343)/y - t^8.457/(g2*y) + (3*g2^2*t^8.885)/y - t^4.2*y - t^5.4*y - t^6.6*y - 2*g2*t^7.143*y - t^7.8*y - g2*t^8.343*y - (t^8.457*y)/g2 + 3*g2^2*t^8.885*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 |
|---|---|---|---|---|---|---|---|---|
| 58228 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 1.1385 | 1.326 | 0.8586 | [X:[1.2, 1.6], M:[1.2], q:[0.2, 0.6], qb:[0.2, 0.6], phi:[0.4]] | 2*t^2.4 + 7*t^3.6 + 2*t^4.2 + 5*t^4.8 + 6*t^5.4 + 8*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 2277/2000, c: 663/500, X1: 6/5, X2: 8/5, M1: 6/5, q1: 1/5, q2: 3/5, qb1: 1/5, qb2: 3/5, phi1: 2/5} |
| 58342 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.2686 | 1.4823 | 0.8558 | [X:[1.4191, 1.3809], M:[0.9809, 0.8], q:[0.4026, 0.3644], qb:[0.2165, 0.6165], phi:[0.4]] | 2*t^2.4 + 3*t^2.94 + t^3.06 + 3*t^4.14 + 3*t^4.26 + t^4.35 + t^4.59 + t^4.71 + 2*t^4.8 + 7*t^5.34 + 3*t^5.46 + 3*t^5.55 + t^5.79 + 5*t^5.89 + t^5.91 - 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58339 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.2548 | 1.4595 | 0.8597 | [X:[1.4379, 1.3621], M:[0.9621, 0.9621], q:[0.4218, 0.3461], qb:[0.2161, 0.6161], phi:[0.4]] | t^2.4 + 4*t^2.89 + t^3.6 + 3*t^4.09 + 3*t^4.31 + t^4.34 + t^4.54 + t^4.77 + 5*t^5.29 + t^5.51 + 3*t^5.54 + t^5.74 + 9*t^5.77 + t^5.97 - 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58218 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.1408 | 1.3346 | 0.8548 | [X:[1.3002, 1.4998], M:[1.0998], q:[0.4002, 0.5999], qb:[0.0999, 0.4999], phi:[0.4]] | t^2.4 + t^2.7 + 4*t^3.3 + t^3.6 + 3*t^3.9 + 6*t^4.5 + 2*t^5.1 + t^5.4 + 7*t^5.7 - t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58224 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.1614 | 1.3694 | 0.8481 | [X:[1.5279, 1.2721], M:[0.8721], q:[0.6186, 0.3627], qb:[0.1093, 0.5093], phi:[0.4]] | t^2.4 + 3*t^2.62 + 2*t^3.38 + t^3.6 + 3*t^3.82 + 6*t^4.58 + 4*t^5.02 + 6*t^5.23 + 5*t^5.78 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58232 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.2496 | 1.4498 | 0.8619 | [X:[1.4043, 1.3957], M:[0.9957], q:[0.4058, 0.3971], qb:[0.1986, 0.5986], phi:[0.4]] | t^2.4 + 3*t^2.99 + t^3.01 + t^3.6 + 4*t^4.19 + 3*t^4.21 + t^4.8 + t^4.83 + 7*t^5.39 + 2*t^5.41 + 5*t^5.97 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58233 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$ | 1.2516 | 1.4532 | 0.8613 | [X:[1.4259, 1.3741], M:[0.9741], q:[0.4173, 0.3655], qb:[0.2086, 0.6086], phi:[0.4]] | t^2.4 + 3*t^2.92 + t^3.08 + t^3.6 + 3*t^4.12 + 4*t^4.28 + t^4.64 + t^4.8 + 4*t^5.32 + 5*t^5.48 + 6*t^5.84 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 58231 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{1}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$ | 1.2368 | 1.4379 | 0.8602 | [X:[1.4173, 1.3827], M:[0.9827], q:[0.3506, 0.316], qb:[0.2667, 0.6667], phi:[0.4]] | t^2.4 + 3*t^2.95 + t^3.05 + t^3.6 + 4*t^4.15 + 4*t^4.25 + t^4.8 + 5*t^5.35 + 3*t^5.45 + 5*t^5.9 + 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47890 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.427 | 1.6906 | 0.8441 | [M:[0.7823], q:[0.4088, 0.3912], qb:[0.4088, 0.3912], phi:[0.4]] | 2*t^2.347 + 3*t^2.4 + t^2.453 + t^3.547 + 3*t^3.6 + 3*t^4.694 + 7*t^4.747 + 2*t^4.773 + 10*t^4.8 + 2*t^4.827 + 4*t^4.853 + t^4.906 + 2*t^5.894 + 7*t^5.947 + 2*t^5.973 + 6*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |