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 |
|---|---|---|---|---|---|---|---|---|---|
| 1061 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ | 0.5217 | 0.6488 | 0.804 | [X:[1.4208], M:[0.8962, 1.2277, 0.5792, 0.8415, 0.7723, 1.1585], q:[0.8069, 0.2277], qb:[0.8761, 0.5447], phi:[0.3862]] | [X:[[3]], M:[[-15], [4], [-3], [6], [-4], [-6]], q:[[1], [4]], qb:[[11], [-8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }M_{6}$, ${ }X_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.317 + t^2.525 + t^2.689 + t^3.104 + t^3.475 + t^4.262 + t^4.426 + t^4.47 + 3*t^4.634 + 2*t^4.842 + t^5.006 + t^5.049 + t^5.377 + 2*t^5.421 + t^5.628 + 2*t^5.792 - 2*t^6. - t^6.208 - t^6.372 + t^6.415 + 2*t^6.579 + 3*t^6.743 + t^6.787 + 5*t^6.951 + t^7.115 + t^7.158 + t^7.323 + t^7.366 + t^7.574 + t^7.694 + 3*t^7.738 + t^7.902 + t^8.066 + 2*t^8.109 - t^8.153 - 4*t^8.317 - 3*t^8.525 - 3*t^8.689 + 2*t^8.732 + t^8.853 + 2*t^8.896 + t^8.94 - t^4.158/y - t^6.475/y - t^6.847/y + t^7.47/y + t^7.634/y + (3*t^7.842)/y + (2*t^8.006)/y + t^8.213/y + (2*t^8.421)/y + t^8.628/y + (2*t^8.792)/y - t^4.158*y - t^6.475*y - t^6.847*y + t^7.47*y + t^7.634*y + 3*t^7.842*y + 2*t^8.006*y + t^8.213*y + 2*t^8.421*y + t^8.628*y + 2*t^8.792*y | (2*t^2.317)/g1^4 + g1^6*t^2.525 + t^2.689/g1^15 + g1^5*t^3.104 + t^3.475/g1^6 + g1^3*t^4.262 + t^4.426/g1^18 + g1^13*t^4.47 + (3*t^4.634)/g1^8 + 2*g1^2*t^4.842 + t^5.006/g1^19 + g1^12*t^5.049 + t^5.377/g1^30 + 2*g1*t^5.421 + g1^11*t^5.628 + (2*t^5.792)/g1^10 - 2*t^6. - g1^10*t^6.208 - t^6.372/g1^11 + g1^20*t^6.415 + (2*t^6.579)/g1 + (3*t^6.743)/g1^22 + g1^9*t^6.787 + (5*t^6.951)/g1^12 + t^7.115/g1^33 + t^7.158/g1^2 + t^7.323/g1^23 + g1^8*t^7.366 + g1^18*t^7.574 + t^7.694/g1^34 + (3*t^7.738)/g1^3 + t^7.902/g1^24 + t^8.066/g1^45 + (2*t^8.109)/g1^14 - g1^17*t^8.153 - (4*t^8.317)/g1^4 - 3*g1^6*t^8.525 - (3*t^8.689)/g1^15 + 2*g1^16*t^8.732 + t^8.853/g1^36 + (2*t^8.896)/g1^5 + g1^26*t^8.94 - t^4.158/(g1^2*y) - t^6.475/(g1^6*y) - t^6.847/(g1^17*y) + (g1^13*t^7.47)/y + t^7.634/(g1^8*y) + (3*g1^2*t^7.842)/y + (2*t^8.006)/(g1^19*y) + t^8.213/(g1^9*y) + (2*g1*t^8.421)/y + (g1^11*t^8.628)/y + (2*t^8.792)/(g1^10*y) - (t^4.158*y)/g1^2 - (t^6.475*y)/g1^6 - (t^6.847*y)/g1^17 + g1^13*t^7.47*y + (t^7.634*y)/g1^8 + 3*g1^2*t^7.842*y + (2*t^8.006*y)/g1^19 + (t^8.213*y)/g1^9 + 2*g1*t^8.421*y + g1^11*t^8.628*y + (2*t^8.792*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1654 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{4}q_{1}q_{2}$ | 0.5056 | 0.6363 | 0.7946 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 0.7273, 1.0909], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | 3*t^2.182 + t^2.727 + 2*t^3.273 + t^3.818 + 6*t^4.364 + 3*t^4.909 + 5*t^5.455 + 2*t^6. - t^4.091/y - t^4.091*y | detail | {a: 10767/21296, c: 6775/10648, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 8/11, M6: 12/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
| 1652 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}M_{7}$ | 0.5358 | 0.673 | 0.7962 | [X:[1.4155], M:[0.9223, 1.2207, 0.5845, 0.8311, 0.7793, 1.1689, 0.8311], q:[0.8052, 0.2207], qb:[0.857, 0.5585], phi:[0.3896]] | 2*t^2.338 + 2*t^2.493 + t^2.767 + t^3.078 + t^4.247 + t^4.402 + t^4.52 + 3*t^4.676 + 4*t^4.831 + 3*t^4.987 + t^5.105 + t^5.26 + 2*t^5.416 + t^5.534 + 2*t^5.571 - 3*t^6. - t^4.169/y - t^4.169*y | detail | |
| 1655 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{7}q_{1}q_{2}$ | 0.5253 | 0.6558 | 0.801 | [X:[1.4264], M:[0.8681, 1.2352, 0.5736, 0.8528, 0.7648, 1.1472, 0.956], q:[0.8088, 0.2352], qb:[0.8967, 0.5297], phi:[0.3824]] | 2*t^2.294 + t^2.558 + t^2.604 + t^2.868 + t^3.442 + t^4.279 + t^4.325 + t^4.543 + 3*t^4.589 + 2*t^4.853 + t^4.899 + t^5.117 + 2*t^5.163 + t^5.209 + t^5.426 + t^5.472 + 2*t^5.736 - 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 663 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7021 | 0.8823 | 0.7958 | [M:[0.9637, 1.1255, 0.9715, 0.6883, 0.8745, 0.6805], q:[0.7814, 0.4411], qb:[0.5951, 0.4334], phi:[0.4372]] | t^2.041 + t^2.065 + 2*t^2.623 + t^2.891 + t^2.915 + t^3.644 + t^3.668 + t^3.912 + t^4.083 + t^4.106 + 2*t^4.13 + t^4.397 + t^4.421 + 2*t^4.665 + 2*t^4.688 + t^4.883 + t^4.933 + 2*t^4.956 + t^4.979 + 3*t^5.247 + t^5.515 + t^5.538 + t^5.686 + 2*t^5.709 + t^5.732 + t^5.782 + t^5.806 + t^5.829 + t^5.953 - 3*t^6. - t^4.312/y - t^4.312*y | detail |