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 |
|---|---|---|---|---|---|---|---|---|---|
| 359 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6647 | 0.8522 | 0.78 | [M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | [M:[[1, 1], [-1, -1], [1, 1], [-1, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1 | t^2.056 + 2*t^2.444 + 2*t^2.528 + t^3. + 2*t^3.472 + 2*t^3.944 + 2*t^4.028 + 2*t^4.112 + 2*t^4.5 + 2*t^4.584 + 3*t^4.888 + 4*t^4.972 + 4*t^5.056 + 2*t^5.444 + 4*t^5.528 + 2*t^5.916 + t^6. + 2*t^6.168 + 4*t^6.388 + 6*t^6.472 + 6*t^6.556 + 4*t^6.64 + 4*t^6.944 + 2*t^7.028 + 4*t^7.112 + 4*t^7.332 + 6*t^7.416 + 4*t^7.5 + 6*t^7.584 + 5*t^7.888 + 6*t^7.972 + 5*t^8.056 + 2*t^8.14 + 3*t^8.224 + 2*t^8.36 - 2*t^8.444 - 2*t^8.528 + 2*t^8.612 + 4*t^8.696 + 6*t^8.832 + 8*t^8.916 - t^4.5/y - t^6.556/y - t^6.944/y + (2*t^7.5)/y + (2*t^7.584)/y + t^7.888/y + (4*t^7.972)/y + (3*t^8.056)/y + (3*t^8.444)/y + (4*t^8.528)/y - t^8.612/y + (4*t^8.916)/y - t^4.5*y - t^6.556*y - t^6.944*y + 2*t^7.5*y + 2*t^7.584*y + t^7.888*y + 4*t^7.972*y + 3*t^8.056*y + 3*t^8.444*y + 4*t^8.528*y - t^8.612*y + 4*t^8.916*y | t^2.056/(g1*g2) + 2*g1*g2*t^2.444 + t^2.528/g1 + t^2.528/g2 + t^3. + g1*t^3.472 + g2*t^3.472 + g1^2*t^3.944 + g2^2*t^3.944 + t^4.028/g1 + t^4.028/g2 + (2*t^4.112)/(g1^2*g2^2) + 2*t^4.5 + t^4.584/(g1*g2^2) + t^4.584/(g1^2*g2) + 3*g1^2*g2^2*t^4.888 + 2*g1*t^4.972 + 2*g2*t^4.972 + t^5.056/g1^2 + t^5.056/g2^2 + (2*t^5.056)/(g1*g2) + 2*g1*g2*t^5.444 + (2*t^5.528)/g1 + (2*t^5.528)/g2 + g1^2*g2*t^5.916 + g1*g2^2*t^5.916 - t^6. + (g1*t^6.)/g2 + (g2*t^6.)/g1 + (2*t^6.168)/(g1^3*g2^3) + 2*g1^3*g2*t^6.388 + 2*g1*g2^3*t^6.388 + 2*g1*t^6.472 + (g1^2*t^6.472)/g2 + 2*g2*t^6.472 + (g2^2*t^6.472)/g1 + t^6.556/g1^2 + t^6.556/g2^2 + (4*t^6.556)/(g1*g2) + (2*t^6.64)/(g1^2*g2^3) + (2*t^6.64)/(g1^3*g2^2) + g1^2*t^6.944 + 2*g1*g2*t^6.944 + g2^2*t^6.944 + t^7.028/g1 + t^7.028/g2 + t^7.112/(g1*g2^3) + (2*t^7.112)/(g1^2*g2^2) + t^7.112/(g1^3*g2) + 4*g1^3*g2^3*t^7.332 + g1^3*t^7.416 + 2*g1^2*g2*t^7.416 + 2*g1*g2^2*t^7.416 + g2^3*t^7.416 + 2*t^7.5 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + t^7.584/g1^3 + t^7.584/g2^3 + (2*t^7.584)/(g1*g2^2) + (2*t^7.584)/(g1^2*g2) + g1^4*t^7.888 + 3*g1^2*g2^2*t^7.888 + g2^4*t^7.888 + 2*g1*t^7.972 + (g1^2*t^7.972)/g2 + 2*g2*t^7.972 + (g2^2*t^7.972)/g1 + (3*t^8.056)/g1^2 + (3*t^8.056)/g2^2 - t^8.056/(g1*g2) + t^8.14/(g1^2*g2^3) + t^8.14/(g1^3*g2^2) + (3*t^8.224)/(g1^4*g2^4) + g1^3*g2^2*t^8.36 + g1^2*g2^3*t^8.36 + g1^2*t^8.444 - 4*g1*g2*t^8.444 + g2^2*t^8.444 - (2*t^8.528)/g1 + (g1*t^8.528)/g2^2 - (2*t^8.528)/g2 + (g2*t^8.528)/g1^2 + (2*t^8.612)/(g1^2*g2^2) + (2*t^8.696)/(g1^3*g2^4) + (2*t^8.696)/(g1^4*g2^3) + 3*g1^4*g2^2*t^8.832 + 3*g1^2*g2^4*t^8.832 + 2*g1^3*t^8.916 + 2*g1^2*g2*t^8.916 + 2*g1*g2^2*t^8.916 + 2*g2^3*t^8.916 - t^4.5/y - t^6.556/(g1*g2*y) - (g1*g2*t^6.944)/y + (2*t^7.5)/y + t^7.584/(g1*g2^2*y) + t^7.584/(g1^2*g2*y) + (g1^2*g2^2*t^7.888)/y + (2*g1*t^7.972)/y + (2*g2*t^7.972)/y + (3*t^8.056)/(g1*g2*y) + (3*g1*g2*t^8.444)/y + (2*t^8.528)/(g1*y) + (2*t^8.528)/(g2*y) - t^8.612/(g1^2*g2^2*y) + (2*g1^2*g2*t^8.916)/y + (2*g1*g2^2*t^8.916)/y - t^4.5*y - (t^6.556*y)/(g1*g2) - g1*g2*t^6.944*y + 2*t^7.5*y + (t^7.584*y)/(g1*g2^2) + (t^7.584*y)/(g1^2*g2) + g1^2*g2^2*t^7.888*y + 2*g1*t^7.972*y + 2*g2*t^7.972*y + (3*t^8.056*y)/(g1*g2) + 3*g1*g2*t^8.444*y + (2*t^8.528*y)/g1 + (2*t^8.528*y)/g2 - (t^8.612*y)/(g1^2*g2^2) + 2*g1^2*g2*t^8.916*y + 2*g1*g2^2*t^8.916*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 |
|---|---|---|---|---|---|---|---|---|
| 1819 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.6643 | 0.8518 | 0.7799 | [M:[0.8278, 1.1722, 0.8278, 0.6722], q:[0.75, 0.4222], qb:[0.4222, 0.4056], phi:[0.5]] | t^2.017 + 3*t^2.483 + t^2.533 + t^3. + t^3.467 + t^3.517 + t^3.934 + t^3.983 + 4*t^4.033 + 3*t^4.5 + t^4.55 + 6*t^4.967 + 4*t^5.017 + t^5.066 + 4*t^5.483 + 2*t^5.533 + 2*t^5.95 - t^4.5/y - t^4.5*y | detail | |
| 1817 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6791 | 0.8778 | 0.7737 | [M:[0.8237, 1.1763, 0.8237, 0.6763, 0.8213], q:[0.75, 0.4263], qb:[0.4287, 0.395], phi:[0.5]] | t^2.029 + 2*t^2.464 + 2*t^2.471 + t^2.565 + t^3. + t^3.435 + t^3.87 + t^3.964 + 2*t^4.058 + t^4.065 + t^4.072 + 2*t^4.493 + 2*t^4.5 + t^4.594 + 3*t^4.928 + 4*t^4.935 + 3*t^4.942 + 3*t^5.029 + 2*t^5.036 + t^5.13 + 3*t^5.464 + 2*t^5.471 + t^5.565 + 2*t^5.899 + t^5.906 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 571 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.652 | 0.8312 | 0.7844 | [M:[0.8043, 1.1957, 0.8043, 0.6957, 1.1326], q:[0.75, 0.4457], qb:[0.4217, 0.3826], phi:[0.5]] | t^2.087 + 2*t^2.413 + t^2.485 + t^3. + 2*t^3.398 + t^3.515 + t^3.796 + t^3.985 + t^4.03 + t^4.102 + 2*t^4.174 + 2*t^4.5 + t^4.572 + 3*t^4.826 + 2*t^4.898 + t^4.97 + t^5.087 + 2*t^5.413 + 3*t^5.485 + t^5.602 + 3*t^5.811 + 2*t^5.883 + t^5.928 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ | 0.644 | 0.812 | 0.7931 | [M:[0.8115, 1.1885, 0.8115], q:[0.75, 0.4385], qb:[0.4058, 0.4058], phi:[0.5]] | 2*t^2.435 + 2*t^2.533 + t^3. + 2*t^3.467 + 3*t^3.935 + 2*t^4.033 + t^4.131 + 3*t^4.869 + 4*t^4.967 + 3*t^5.065 + 2*t^5.435 + 2*t^5.533 + 2*t^5.902 - t^6. - t^4.5/y - t^4.5*y | detail |