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 |
|---|---|---|---|---|---|---|---|---|---|
| 1746 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838], q:[0.4041, 0.7473], qb:[0.4446, 0.8689], phi:[0.3838]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | -1 | t^2.059 + t^2.303 + t^2.546 + t^3.454 + 2*t^3.576 + t^3.697 + 2*t^3.819 + t^4.119 + t^4.362 + 2*t^4.605 + 2*t^4.849 + t^5.092 + t^5.513 + 2*t^5.635 + t^5.757 + 2*t^5.878 - t^6. + 2*t^6.122 + t^6.178 + 2*t^6.365 + t^6.422 + 2*t^6.665 + 3*t^6.908 + 4*t^7.151 + 3*t^7.395 + t^7.573 + 3*t^7.638 + 2*t^7.694 + t^7.816 + 2*t^7.938 - t^8.059 + 2*t^8.181 + t^8.238 - t^8.303 + 2*t^8.424 + t^8.481 - 3*t^8.546 + 2*t^8.668 + 2*t^8.724 - t^8.789 + 2*t^8.911 + 3*t^8.967 - t^4.151/y - t^6.211/y - t^6.454/y + t^7.362/y + t^7.605/y + (2*t^7.849)/y + t^8.092/y - t^8.27/y + (2*t^8.635)/y + t^8.757/y + (4*t^8.878)/y - t^4.151*y - t^6.211*y - t^6.454*y + t^7.362*y + t^7.605*y + 2*t^7.849*y + t^8.092*y - t^8.27*y + 2*t^8.635*y + t^8.757*y + 4*t^8.878*y | t^2.059/g2^7 + t^2.303/g2^2 + g2^3*t^2.546 + t^3.454/g2^3 + (g1^2*t^3.576)/g2^9 + (g2^8*t^3.576)/g1^2 + g2^2*t^3.697 + (g1^2*t^3.819)/g2^4 + (g2^13*t^3.819)/g1^2 + t^4.119/g2^14 + t^4.362/g2^9 + (2*t^4.605)/g2^4 + 2*g2*t^4.849 + g2^6*t^5.092 + t^5.513/g2^10 + (g1^2*t^5.635)/g2^16 + (g2*t^5.635)/g1^2 + t^5.757/g2^5 + (g1^2*t^5.878)/g2^11 + (g2^6*t^5.878)/g1^2 - t^6. + (g1^2*t^6.122)/g2^6 + (g2^11*t^6.122)/g1^2 + t^6.178/g2^21 + (g1^2*t^6.365)/g2 + (g2^16*t^6.365)/g1^2 + t^6.422/g2^16 + (2*t^6.665)/g2^11 + (3*t^6.908)/g2^6 + (g1^4*t^7.151)/g2^18 + (2*t^7.151)/g2 + (g2^16*t^7.151)/g1^4 + (g1^4*t^7.395)/g2^13 + g2^4*t^7.395 + (g2^21*t^7.395)/g1^4 + t^7.573/g2^17 + (g1^4*t^7.638)/g2^8 + g2^9*t^7.638 + (g2^26*t^7.638)/g1^4 + (g1^2*t^7.694)/g2^23 + t^7.694/(g1^2*g2^6) + t^7.816/g2^12 + (g1^2*t^7.938)/g2^18 + t^7.938/(g1^2*g2) - t^8.059/g2^7 + (g1^2*t^8.181)/g2^13 + (g2^4*t^8.181)/g1^2 + t^8.238/g2^28 - t^8.303/g2^2 + (g1^2*t^8.424)/g2^8 + (g2^9*t^8.424)/g1^2 + t^8.481/g2^23 - 3*g2^3*t^8.546 + (g1^2*t^8.668)/g2^3 + (g2^14*t^8.668)/g1^2 + (2*t^8.724)/g2^18 - g2^8*t^8.789 + g1^2*g2^2*t^8.911 + (g2^19*t^8.911)/g1^2 + (3*t^8.967)/g2^13 - t^4.151/(g2*y) - t^6.211/(g2^8*y) - t^6.454/(g2^3*y) + t^7.362/(g2^9*y) + t^7.605/(g2^4*y) + (2*g2*t^7.849)/y + (g2^6*t^8.092)/y - t^8.27/(g2^15*y) + (g1^2*t^8.635)/(g2^16*y) + (g2*t^8.635)/(g1^2*y) + t^8.757/(g2^5*y) + (2*g1^2*t^8.878)/(g2^11*y) + (2*g2^6*t^8.878)/(g1^2*y) - (t^4.151*y)/g2 - (t^6.211*y)/g2^8 - (t^6.454*y)/g2^3 + (t^7.362*y)/g2^9 + (t^7.605*y)/g2^4 + 2*g2*t^7.849*y + g2^6*t^8.092*y - (t^8.27*y)/g2^15 + (g1^2*t^8.635*y)/g2^16 + (g2*t^8.635*y)/g1^2 + (t^8.757*y)/g2^5 + (2*g1^2*t^8.878*y)/g2^11 + (2*g2^6*t^8.878*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2748 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{2}M_{5}$ | 0.6005 | 0.7211 | 0.8327 | [X:[1.614], M:[0.8421, 0.7018, 1.1579, 0.386, 1.2982], q:[0.4035, 0.7544], qb:[0.4386, 0.8596], phi:[0.386]] | t^2.316 + t^2.526 + t^3.474 + 2*t^3.579 + t^3.684 + 2*t^3.789 + t^3.895 + t^4.632 + 2*t^4.842 + t^5.053 - t^6. - t^4.158/y - t^4.158*y | detail | {a: 5203/8664, c: 781/1083, X1: 92/57, M1: 16/19, M2: 40/57, M3: 22/19, M4: 22/57, M5: 74/57, q1: 23/57, q2: 43/57, qb1: 25/57, qb2: 49/57, phi1: 22/57} |
| 2750 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6395 | 0.7939 | 0.8055 | [X:[1.6178], M:[0.8533, 0.6756, 1.1467, 0.3822, 0.7645], q:[0.4044, 0.7423], qb:[0.4489, 0.8755], phi:[0.3822]] | t^2.027 + 2*t^2.293 + t^2.56 + t^3.44 + 2*t^3.573 + 2*t^3.84 + t^4.054 + 2*t^4.32 + 4*t^4.587 + 3*t^4.853 + t^5.12 + t^5.467 + 2*t^5.6 + t^5.733 + 4*t^5.867 - 2*t^6. - t^4.147/y - t^4.147*y | detail | |
| 2749 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6384 | 0.7922 | 0.8058 | [X:[1.6159], M:[0.8476, 0.689, 1.1524, 0.3841, 0.77], q:[0.4229, 0.7295], qb:[0.4246, 0.8863], phi:[0.3841]] | t^2.067 + t^2.305 + t^2.31 + t^2.543 + t^3.457 + t^3.463 + t^3.695 + t^3.7 + t^3.928 + t^4.134 + t^4.372 + t^4.377 + 2*t^4.61 + t^4.615 + t^4.62 + 2*t^4.848 + t^4.853 + t^5.085 + t^5.524 + t^5.53 + t^5.762 + 2*t^5.767 + t^5.773 - t^6. - t^4.152/y - t^4.152*y | detail | |
| 2751 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6414 | 0.7996 | 0.8022 | [X:[1.6177], M:[0.8532, 0.676, 1.1468, 0.3823, 0.7046], q:[0.3966, 0.7502], qb:[0.4565, 0.8675], phi:[0.3823]] | t^2.028 + t^2.114 + t^2.294 + t^2.559 + t^3.441 + t^3.527 + t^3.62 + t^3.706 + t^3.792 + t^4.056 + t^4.142 + t^4.228 + t^4.322 + t^4.408 + 2*t^4.587 + t^4.673 + 2*t^4.853 + t^5.119 + t^5.468 + 2*t^5.554 + t^5.641 + t^5.648 + 2*t^5.734 + 2*t^5.82 + t^5.906 - t^6. - t^4.147/y - t^4.147*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 |
|---|---|---|---|---|---|---|---|---|---|
| 228 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7272 | 0.8931 | 0.8142 | [M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], 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 |