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 |
|---|---|---|---|---|---|---|---|---|---|
| 45888 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.5427 | 0.6891 | 0.7875 | [M:[0.7357, 1.1204], q:[0.2918, 0.9724], qb:[0.5878, 0.3888], phi:[0.4398]] | [M:[[9, 1], [-2, 2]], q:[[-3, -2], [-6, 1]], qb:[[5, 0], [0, 5]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}^{3}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.042 + t^2.207 + t^2.639 + t^2.93 + t^3.07 + 2*t^3.361 + t^3.652 + 2*t^4.084 + t^4.249 + t^4.414 + 2*t^4.681 + t^4.846 + t^4.971 + t^5.112 + t^5.137 + t^5.278 + 2*t^5.403 + 2*t^5.568 + t^5.694 + 2*t^5.859 - t^6. + 2*t^6.125 + t^6.141 + 3*t^6.291 + t^6.456 + t^6.582 - t^6.597 + t^6.622 + 3*t^6.722 + t^6.888 + 3*t^7.013 - t^7.029 + t^7.053 + t^7.154 + t^7.179 + t^7.304 - t^7.319 + t^7.344 + 3*t^7.445 + t^7.485 + t^7.61 + 2*t^7.736 - t^7.751 + 2*t^7.776 + 2*t^7.901 - 2*t^8.042 + 2*t^8.066 + 3*t^8.167 + t^8.183 - 2*t^8.207 + 3*t^8.333 - t^8.473 + 3*t^8.498 + t^8.623 - 3*t^8.639 + t^8.663 + 3*t^8.764 + 2*t^8.789 - t^8.804 + t^8.829 - t^8.93 - t^4.319/y - t^6.527/y + t^7.249/y + t^7.681/y + t^7.846/y + t^7.971/y + (2*t^8.112)/y + t^8.137/y + t^8.278/y + (2*t^8.403)/y + (3*t^8.568)/y + t^8.694/y + t^8.709/y - t^8.734/y + t^8.859/y - t^4.319*y - t^6.527*y + t^7.249*y + t^7.681*y + t^7.846*y + t^7.971*y + 2*t^8.112*y + t^8.137*y + t^8.278*y + 2*t^8.403*y + 3*t^8.568*y + t^8.694*y + t^8.709*y - t^8.734*y + t^8.859*y | (g2^3*t^2.042)/g1^3 + g1^9*g2*t^2.207 + (g1^2*t^2.639)/g2^2 + g1^5*g2^5*t^2.93 + t^3.07/(g1^5*g2^5) + (2*g2^2*t^3.361)/g1^2 + g1*g2^9*t^3.652 + (2*g2^6*t^4.084)/g1^6 + g1^6*g2^4*t^4.249 + g1^18*g2^2*t^4.414 + (2*g2*t^4.681)/g1 + (g1^11*t^4.846)/g2 + g1^2*g2^8*t^4.971 + t^5.112/(g1^8*g2^2) + g1^14*g2^6*t^5.137 + (g1^4*t^5.278)/g2^4 + (2*g2^5*t^5.403)/g1^5 + 2*g1^7*g2^3*t^5.568 + (g2^12*t^5.694)/g1^2 + 2*g1^10*g2^10*t^5.859 - t^6. + (2*g2^9*t^6.125)/g1^9 + t^6.141/(g1^10*g2^10) + 3*g1^3*g2^7*t^6.291 + g1^15*g2^5*t^6.456 + g1^6*g2^14*t^6.582 - (g1^5*t^6.597)/g2^5 + g1^27*g2^3*t^6.622 + (3*g2^4*t^6.722)/g1^4 + g1^8*g2^2*t^6.888 + (3*g2^11*t^7.013)/g1 - t^7.029/(g1^2*g2^8) + g1^20*t^7.053 + (g2*t^7.154)/g1^11 + g1^11*g2^9*t^7.179 + g1^2*g2^18*t^7.304 - (g1*t^7.319)/g2 + g1^23*g2^7*t^7.344 + (3*g2^8*t^7.445)/g1^8 + (g1^13*t^7.485)/g2^3 + g1^4*g2^6*t^7.61 + (2*g2^15*t^7.736)/g1^5 - t^7.751/(g1^6*g2^4) + 2*g1^16*g2^4*t^7.776 + 2*g1^7*g2^13*t^7.901 - (2*g2^3*t^8.042)/g1^3 + 2*g1^19*g2^11*t^8.066 + (3*g2^12*t^8.167)/g1^12 + t^8.183/(g1^13*g2^7) - 2*g1^9*g2*t^8.207 + 3*g2^10*t^8.333 - t^8.473/g1^10 + 3*g1^12*g2^8*t^8.498 + g1^3*g2^17*t^8.623 - (3*g1^2*t^8.639)/g2^2 + g1^24*g2^6*t^8.663 + (3*g2^7*t^8.764)/g1^7 + 2*g1^15*g2^15*t^8.789 - (g1^14*t^8.804)/g2^4 + g1^36*g2^4*t^8.829 - g1^5*g2^5*t^8.93 - (g1*t^4.319)/(g2*y) - (g1^10*t^6.527)/y + (g1^6*g2^4*t^7.249)/y + (g2*t^7.681)/(g1*y) + (g1^11*t^7.846)/(g2*y) + (g1^2*g2^8*t^7.971)/y + (2*t^8.112)/(g1^8*g2^2*y) + (g1^14*g2^6*t^8.137)/y + (g1^4*t^8.278)/(g2^4*y) + (2*g2^5*t^8.403)/(g1^5*y) + (3*g1^7*g2^3*t^8.568)/y + (g2^12*t^8.694)/(g1^2*y) + t^8.709/(g1^3*g2^7*y) - (g1^19*g2*t^8.734)/y + (g1^10*g2^10*t^8.859)/y - (g1*t^4.319*y)/g2 - g1^10*t^6.527*y + g1^6*g2^4*t^7.249*y + (g2*t^7.681*y)/g1 + (g1^11*t^7.846*y)/g2 + g1^2*g2^8*t^7.971*y + (2*t^8.112*y)/(g1^8*g2^2) + g1^14*g2^6*t^8.137*y + (g1^4*t^8.278*y)/g2^4 + (2*g2^5*t^8.403*y)/g1^5 + 3*g1^7*g2^3*t^8.568*y + (g2^12*t^8.694*y)/g1^2 + (t^8.709*y)/(g1^3*g2^7) - g1^19*g2*t^8.734*y + g1^10*g2^10*t^8.859*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 |
|---|---|---|---|---|---|---|---|---|
| 46005 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.5615 | 0.7218 | 0.7778 | [M:[0.7365, 1.1317, 0.7365], q:[0.2829, 0.9805], qb:[0.5853, 0.4147], phi:[0.4341]] | t^2.093 + 2*t^2.21 + t^2.605 + 2*t^3. + 2*t^3.395 + 2*t^4.186 + 2*t^4.302 + 3*t^4.419 + 2*t^4.698 + 2*t^4.814 + 2*t^5.093 + 4*t^5.21 + 2*t^5.488 + 4*t^5.605 + t^6. - t^4.302/y - t^4.302*y | detail | |
| 46034 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ | 0.4728 | 0.5871 | 0.8053 | [X:[1.5958], M:[0.4042, 1.1917], q:[0.4042, 1.1917], qb:[0.4042, 0.3833], phi:[0.4042]] | 2*t^2.362 + t^2.425 + t^3.512 + 2*t^3.575 + t^3.638 + 4*t^4.725 + 3*t^4.787 + 2*t^5.875 + 3*t^5.937 - t^6. - t^4.213/y - t^4.213*y | detail | |
| 46061 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}^{3}$ | 0.5407 | 0.6833 | 0.7913 | [M:[0.7245, 1.141], q:[0.282, 0.9935], qb:[0.577, 0.4295], phi:[0.4295]] | t^2.134 + t^2.174 + t^2.577 + t^2.98 + t^3.02 + 2*t^3.423 + t^3.866 + 2*t^4.269 + t^4.308 + t^4.347 + 2*t^4.711 + t^4.751 + t^5.115 + 2*t^5.154 + t^5.193 + 2*t^5.557 + 2*t^5.597 + t^5.961 - t^4.289/y - t^4.289*y | detail | |
| 46060 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.4897 | 0.6147 | 0.7966 | [M:[0.7642, 1.2102], q:[0.2102, 1.0256], qb:[0.5796, 0.6051], phi:[0.3949]] | t^2.293 + t^2.369 + 2*t^2.446 + t^3.554 + 2*t^3.631 + t^4.585 + t^4.662 + 2*t^4.739 + 3*t^4.815 + 4*t^4.892 + t^5.847 + t^5.923 - t^6. - t^4.185/y - t^4.185*y | detail | |
| 46010 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 0.5422 | 0.6869 | 0.7893 | [M:[0.7543, 1.1229], q:[0.2807, 0.965], qb:[0.5964, 0.4036], phi:[0.4386]] | t^2.053 + t^2.263 + t^2.631 + 2*t^3. + 2*t^3.369 + t^3.737 + 2*t^4.106 + t^4.316 + t^4.526 + 2*t^4.684 + t^4.894 + 2*t^5.053 + 2*t^5.263 + 2*t^5.421 + 2*t^5.631 + t^5.79 + 2*t^6. - t^4.316/y - t^4.316*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45860 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6485 | 0.7967 | 0.8141 | [M:[0.696, 0.696], q:[0.4802, 0.8238], qb:[0.8238, 0.4626], phi:[0.3524]] | 2*t^2.088 + t^2.114 + t^2.828 + t^3.833 + 2*t^3.859 + t^3.886 + t^3.939 + 3*t^4.176 + 2*t^4.202 + t^4.229 + 2*t^4.916 + 2*t^4.943 + t^5.657 + 2*t^5.921 + 4*t^5.947 + 2*t^5.974 - 2*t^6. - t^4.057/y - t^4.057*y | detail |