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 |
|---|---|---|---|---|---|---|---|---|---|
| 2623 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ | 0.6486 | 0.8003 | 0.8105 | [M:[1.0425, 0.8355, 1.061, 0.817, 1.183, 1.1645, 0.817], q:[0.5397, 0.4177], qb:[0.3993, 0.7652], phi:[0.4695]] | [M:[[-30], [22], [4], [-12], [12], [-22], [-12]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.451 + t^2.817 + t^3.128 + t^3.183 + t^3.494 + t^3.804 + t^3.86 + 2*t^3.915 + t^4.226 + t^4.281 + t^4.647 + 3*t^4.902 + 2*t^5.268 + t^5.579 + 2*t^5.634 + 2*t^5.945 - 2*t^6. - t^6.055 + 3*t^6.255 + 3*t^6.311 + 2*t^6.366 - t^6.421 + 2*t^6.621 + 2*t^6.677 + 2*t^6.732 + t^6.932 + t^6.987 + t^7.043 + 2*t^7.098 + t^7.298 + 4*t^7.353 + t^7.608 + t^7.664 + 5*t^7.719 + t^7.774 + t^7.83 + 2*t^8.03 + 3*t^8.085 + t^8.14 + t^8.196 + 2*t^8.396 - 3*t^8.451 - 2*t^8.506 + 2*t^8.562 + 4*t^8.706 + 4*t^8.762 - t^8.817 - 2*t^8.872 + t^8.928 - t^4.409/y - t^6.86/y + t^7.281/y - t^7.536/y + t^7.902/y + t^7.957/y + (2*t^8.268)/y + (2*t^8.579)/y + (2*t^8.634)/y + (3*t^8.945)/y - t^4.409*y - t^6.86*y + t^7.281*y - t^7.536*y + t^7.902*y + t^7.957*y + 2*t^8.268*y + 2*t^8.579*y + 2*t^8.634*y + 3*t^8.945*y | (2*t^2.451)/g1^12 + t^2.817/g1^4 + t^3.128/g1^30 + g1^4*t^3.183 + t^3.494/g1^22 + t^3.804/g1^48 + t^3.86/g1^14 + 2*g1^20*t^3.915 + t^4.226/g1^6 + g1^28*t^4.281 + g1^36*t^4.647 + (3*t^4.902)/g1^24 + (2*t^5.268)/g1^16 + t^5.579/g1^42 + (2*t^5.634)/g1^8 + (2*t^5.945)/g1^34 - 2*t^6. - g1^34*t^6.055 + (3*t^6.255)/g1^60 + (3*t^6.311)/g1^26 + 2*g1^8*t^6.366 - g1^42*t^6.421 + (2*t^6.621)/g1^52 + (2*t^6.677)/g1^18 + 2*g1^16*t^6.732 + t^6.932/g1^78 + t^6.987/g1^44 + t^7.043/g1^10 + 2*g1^24*t^7.098 + t^7.298/g1^70 + (4*t^7.353)/g1^36 + t^7.608/g1^96 + t^7.664/g1^62 + (5*t^7.719)/g1^28 + g1^6*t^7.774 + g1^40*t^7.83 + (2*t^8.03)/g1^54 + (3*t^8.085)/g1^20 + g1^14*t^8.14 + g1^48*t^8.196 + (2*t^8.396)/g1^46 - (3*t^8.451)/g1^12 - 2*g1^22*t^8.506 + 2*g1^56*t^8.562 + (4*t^8.706)/g1^72 + (4*t^8.762)/g1^38 - t^8.817/g1^4 - 2*g1^30*t^8.872 + g1^64*t^8.928 - t^4.409/(g1^2*y) - t^6.86/(g1^14*y) + (g1^28*t^7.281)/y - t^7.536/(g1^32*y) + t^7.902/(g1^24*y) + (g1^10*t^7.957)/y + (2*t^8.268)/(g1^16*y) + (2*t^8.579)/(g1^42*y) + (2*t^8.634)/(g1^8*y) + (3*t^8.945)/(g1^34*y) - (t^4.409*y)/g1^2 - (t^6.86*y)/g1^14 + g1^28*t^7.281*y - (t^7.536*y)/g1^32 + (t^7.902*y)/g1^24 + g1^10*t^7.957*y + (2*t^8.268*y)/g1^16 + (2*t^8.579*y)/g1^42 + (2*t^8.634*y)/g1^8 + (3*t^8.945*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4720 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6543 | 0.8101 | 0.8076 | [M:[1.0367, 0.8397, 1.0618, 0.8147, 1.1853, 1.1603, 0.8147, 0.9382], q:[0.5434, 0.4199], qb:[0.3948, 0.7654], phi:[0.4691]] | 2*t^2.444 + 2*t^2.815 + t^3.11 + t^3.481 + t^3.776 + t^3.851 + 2*t^3.927 + t^4.222 + t^4.297 + t^4.668 + 3*t^4.888 + 4*t^5.259 + t^5.554 + 2*t^5.629 + 3*t^5.925 - 3*t^6. - t^4.407/y - t^4.407*y | detail | |
| 4722 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6688 | 0.8383 | 0.7979 | [M:[1.0478, 0.8316, 1.0603, 0.8191, 1.1809, 1.1684, 0.8191, 0.711], q:[0.5364, 0.4158], qb:[0.4033, 0.7651], phi:[0.4699]] | t^2.133 + 2*t^2.457 + t^2.819 + t^3.143 + t^3.181 + t^3.505 + t^3.829 + 2*t^3.904 + t^4.229 + 2*t^4.266 + 2*t^4.59 + t^4.628 + 3*t^4.915 + t^4.952 + 3*t^5.276 + t^5.314 + t^5.601 + 3*t^5.638 + 3*t^5.963 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
| 4721 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6687 | 0.8378 | 0.7981 | [M:[1.0588, 0.8236, 1.0588, 0.8235, 1.1765, 1.1764, 0.8235, 0.706], q:[0.5294, 0.4118], qb:[0.4117, 0.7647], phi:[0.4706]] | t^2.118 + 2*t^2.471 + t^2.824 + 2*t^3.176 + t^3.529 + 3*t^3.882 + 2*t^4.235 + t^4.236 + 3*t^4.588 + 4*t^4.941 + 4*t^5.294 + 4*t^5.647 + 2*t^6. - t^4.412/y - t^4.412*y | detail | |
| 4719 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6429 | 0.7905 | 0.8133 | [M:[1.0484, 0.8312, 1.0602, 0.8194, 1.1806, 1.1688, 0.8194, 1.0602], q:[0.536, 0.4156], qb:[0.4038, 0.7651], phi:[0.4699]] | 2*t^2.458 + t^3.145 + 2*t^3.181 + t^3.506 + t^3.832 + t^3.868 + 2*t^3.903 + t^4.229 + t^4.264 + t^4.626 + 3*t^4.916 + t^5.603 + 3*t^5.639 + t^5.965 - 3*t^6. - t^4.41/y - t^4.41*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1528 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6333 | 0.7731 | 0.8192 | [M:[1.0556, 0.8259, 1.0593, 0.8222, 1.1778, 1.1741], q:[0.5315, 0.4129], qb:[0.4093, 0.7648], phi:[0.4704]] | t^2.467 + t^2.822 + t^3.167 + t^3.178 + t^3.522 + t^3.533 + t^3.867 + t^3.878 + 2*t^3.889 + t^4.233 + t^4.244 + t^4.6 + t^4.933 + t^5.289 + t^5.644 + t^5.989 - t^6. - t^4.411/y - t^4.411*y | detail |