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 |
|---|---|---|---|---|---|---|---|---|---|
| 121 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5427 | 0.6891 | 0.7875 | [M:[1.1204, 0.7357], q:[0.6112, 0.949], qb:[0.2684, 0.4122], phi:[0.4398]] | [M:[[2, 2], [1, -5]], q:[[-5, -2], [6, 3]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -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 | g1^3*g2^3*t^2.042 + (g1*t^2.207)/g2^5 + t^2.639/(g1^2*g2^2) + (g1^5*t^2.93)/g2 + (g2*t^3.07)/g1^5 + 2*g1^2*g2^2*t^3.361 + g1^9*g2^3*t^3.652 + 2*g1^6*g2^6*t^4.084 + (g1^4*t^4.249)/g2^2 + (g1^2*t^4.414)/g2^10 + 2*g1*g2*t^4.681 + t^4.846/(g1*g2^7) + g1^8*g2^2*t^4.971 + (g2^4*t^5.112)/g1^2 + (g1^6*t^5.137)/g2^6 + t^5.278/(g1^4*g2^4) + 2*g1^5*g2^5*t^5.403 + (2*g1^3*t^5.568)/g2^3 + g1^12*g2^6*t^5.694 + (2*g1^10*t^5.859)/g2^2 - t^6. + 2*g1^9*g2^9*t^6.125 + (g2^2*t^6.141)/g1^10 + 3*g1^7*g2*t^6.291 + (g1^5*t^6.456)/g2^7 + g1^14*g2^2*t^6.582 - t^6.597/(g1^5*g2^5) + (g1^3*t^6.622)/g2^15 + 3*g1^4*g2^4*t^6.722 + (g1^2*t^6.888)/g2^4 + 3*g1^11*g2^5*t^7.013 - t^7.029/(g1^8*g2^2) + t^7.053/g2^12 + g1*g2^7*t^7.154 + (g1^9*t^7.179)/g2^3 + g1^18*g2^6*t^7.304 - t^7.319/(g1*g2) + (g1^7*t^7.344)/g2^11 + 3*g1^8*g2^8*t^7.445 + t^7.485/(g1^3*g2^9) + g1^6*t^7.61 + 2*g1^15*g2^9*t^7.736 - (g2^2*t^7.751)/g1^4 + (2*g1^4*t^7.776)/g2^8 + 2*g1^13*g2*t^7.901 - 2*g1^3*g2^3*t^8.042 + (2*g1^11*t^8.066)/g2^7 + 3*g1^12*g2^12*t^8.167 + (g2^5*t^8.183)/g1^7 - (2*g1*t^8.207)/g2^5 + 3*g1^10*g2^4*t^8.333 - g2^6*t^8.473 + (3*g1^8*t^8.498)/g2^4 + g1^17*g2^5*t^8.623 - (3*t^8.639)/(g1^2*g2^2) + (g1^6*t^8.663)/g2^12 + 3*g1^7*g2^7*t^8.764 + (2*g1^15*t^8.789)/g2^3 - t^8.804/(g1^4*g2^10) + (g1^4*t^8.829)/g2^20 - (g1^5*t^8.93)/g2 - t^4.319/(g1*g2*y) - t^6.527/(g2^6*y) + (g1^4*t^7.249)/(g2^2*y) + (g1*g2*t^7.681)/y + t^7.846/(g1*g2^7*y) + (g1^8*g2^2*t^7.971)/y + (2*g2^4*t^8.112)/(g1^2*y) + (g1^6*t^8.137)/(g2^6*y) + t^8.278/(g1^4*g2^4*y) + (2*g1^5*g2^5*t^8.403)/y + (3*g1^3*t^8.568)/(g2^3*y) + (g1^12*g2^6*t^8.694)/y + t^8.709/(g1^7*g2*y) - (g1*t^8.734)/(g2^11*y) + (g1^10*t^8.859)/(g2^2*y) - (t^4.319*y)/(g1*g2) - (t^6.527*y)/g2^6 + (g1^4*t^7.249*y)/g2^2 + g1*g2*t^7.681*y + (t^7.846*y)/(g1*g2^7) + g1^8*g2^2*t^7.971*y + (2*g2^4*t^8.112*y)/g1^2 + (g1^6*t^8.137*y)/g2^6 + (t^8.278*y)/(g1^4*g2^4) + 2*g1^5*g2^5*t^8.403*y + (3*g1^3*t^8.568*y)/g2^3 + g1^12*g2^6*t^8.694*y + (t^8.709*y)/(g1^7*g2) - (g1*t^8.734*y)/g2^11 + (g1^10*t^8.859*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 196 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.4995 | 0.612 | 0.8162 | [X:[1.4], M:[1.2, 0.6], q:[0.5, 1.1], qb:[0.3, 0.5], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 2*t^3.6 + 2*t^4.2 + 4*t^4.8 + 2*t^5.4 + 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 999/2000, c: 153/250, X1: 7/5, M1: 6/5, M2: 3/5, q1: 1/2, q2: 11/10, qb1: 3/10, qb2: 1/2, phi1: 2/5} |
| 197 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | 0.4897 | 0.6147 | 0.7966 | [M:[1.2102, 0.7642], q:[0.3949, 1.2102], qb:[0.3949, 0.4204], 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 | |
| 199 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}X_{1}$ | 0.4728 | 0.5871 | 0.8053 | [X:[1.5958], M:[1.1917, 0.4042], q:[0.6167, 0.9791], qb:[0.1917, 0.5958], 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 | |
| 1714 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5407 | 0.6833 | 0.7913 | [M:[1.141, 0.7245], q:[0.5705, 1.0], qb:[0.2885, 0.423], 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 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 76 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6485 | 0.7967 | 0.8141 | [M:[0.696, 0.696], q:[0.837, 0.8106], qb:[0.467, 0.4758], 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 |