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 |
|---|---|---|---|---|---|---|---|---|---|
| 55347 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.6735 | 0.8485 | 0.7937 | [M:[1.1608, 0.8784, 0.8392, 0.7216, 0.7608, 0.8392], q:[0.3608, 0.4784], qb:[0.7608, 0.8], phi:[0.4]] | [M:[[1], [-2], [-1], [2], [1], [-1]], q:[[1], [-2]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.165 + t^2.282 + t^2.4 + 2*t^2.518 + t^2.635 + t^3.365 + t^3.718 + t^4.07 + t^4.33 + t^4.447 + 3*t^4.565 + 4*t^4.682 + 3*t^4.8 + 4*t^4.918 + 4*t^5.035 + t^5.153 + t^5.27 + t^5.53 + 2*t^5.765 + 2*t^5.882 - 2*t^6. + 2*t^6.235 + t^6.47 + t^6.495 + 2*t^6.588 + t^6.612 + t^6.705 + 4*t^6.73 + 4*t^6.847 + 4*t^6.965 + 8*t^7.082 + 6*t^7.2 + 5*t^7.318 + 8*t^7.435 + 5*t^7.553 + t^7.67 + t^7.695 + 2*t^7.788 + t^7.905 + 3*t^7.93 + 2*t^8.047 + t^8.141 - 3*t^8.165 - t^8.4 - 7*t^8.518 - t^8.635 + t^8.659 + 2*t^8.753 + t^8.777 + 4*t^8.895 + 3*t^8.988 - t^4.2/y - t^6.365/y - t^6.482/y - t^6.6/y - t^6.718/y - t^6.835/y + t^7.447/y + (2*t^7.565)/y + (4*t^7.682)/y + (4*t^7.8)/y + (4*t^7.918)/y + (3*t^8.035)/y + (2*t^8.153)/y - t^8.765/y + t^8.882/y - t^4.2*y - t^6.365*y - t^6.482*y - t^6.6*y - t^6.718*y - t^6.835*y + t^7.447*y + 2*t^7.565*y + 4*t^7.682*y + 4*t^7.8*y + 4*t^7.918*y + 3*t^8.035*y + 2*t^8.153*y - t^8.765*y + t^8.882*y | g1^2*t^2.165 + g1*t^2.282 + t^2.4 + (2*t^2.518)/g1 + t^2.635/g1^2 + g1^2*t^3.365 + t^3.718/g1 + t^4.07/g1^4 + g1^4*t^4.33 + g1^3*t^4.447 + 3*g1^2*t^4.565 + 4*g1*t^4.682 + 3*t^4.8 + (4*t^4.918)/g1 + (4*t^5.035)/g1^2 + t^5.153/g1^3 + t^5.27/g1^4 + g1^4*t^5.53 + 2*g1^2*t^5.765 + 2*g1*t^5.882 - 2*t^6. + (2*t^6.235)/g1^2 + t^6.47/g1^4 + g1^6*t^6.495 + (2*t^6.588)/g1^5 + g1^5*t^6.612 + t^6.705/g1^6 + 4*g1^4*t^6.73 + 4*g1^3*t^6.847 + 4*g1^2*t^6.965 + 8*g1*t^7.082 + 6*t^7.2 + (5*t^7.318)/g1 + (8*t^7.435)/g1^2 + (5*t^7.553)/g1^3 + t^7.67/g1^4 + g1^6*t^7.695 + (2*t^7.788)/g1^5 + t^7.905/g1^6 + 3*g1^4*t^7.93 + 2*g1^3*t^8.047 + t^8.141/g1^8 - 3*g1^2*t^8.165 - t^8.4 - (7*t^8.518)/g1 - t^8.635/g1^2 + g1^8*t^8.659 + (2*t^8.753)/g1^3 + g1^7*t^8.777 + 4*g1^6*t^8.895 + (3*t^8.988)/g1^5 - t^4.2/y - (g1^2*t^6.365)/y - (g1*t^6.482)/y - t^6.6/y - t^6.718/(g1*y) - t^6.835/(g1^2*y) + (g1^3*t^7.447)/y + (2*g1^2*t^7.565)/y + (4*g1*t^7.682)/y + (4*t^7.8)/y + (4*t^7.918)/(g1*y) + (3*t^8.035)/(g1^2*y) + (2*t^8.153)/(g1^3*y) - (g1^2*t^8.765)/y + (g1*t^8.882)/y - t^4.2*y - g1^2*t^6.365*y - g1*t^6.482*y - t^6.6*y - (t^6.718*y)/g1 - (t^6.835*y)/g1^2 + g1^3*t^7.447*y + 2*g1^2*t^7.565*y + 4*g1*t^7.682*y + 4*t^7.8*y + (4*t^7.918*y)/g1 + (3*t^8.035*y)/g1^2 + (2*t^8.153*y)/g1^3 - g1^2*t^8.765*y + g1*t^8.882*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 |
|---|---|---|---|---|---|---|---|---|
| 56949 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.657 | 0.8195 | 0.8017 | [M:[1.1608, 0.8784, 0.8392, 0.7216, 0.7608, 0.8392, 1.2], q:[0.3608, 0.4784], qb:[0.7608, 0.8], phi:[0.4]] | t^2.165 + t^2.282 + 2*t^2.518 + t^2.635 + t^3.365 + t^3.6 + t^3.718 + t^4.07 + t^4.33 + t^4.447 + 2*t^4.565 + 3*t^4.682 + 2*t^4.8 + 2*t^4.918 + 3*t^5.035 + t^5.153 + t^5.27 + t^5.53 + 2*t^5.765 + 3*t^5.882 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 56950 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6921 | 0.8823 | 0.7845 | [M:[1.1575, 0.885, 0.8425, 0.715, 0.7575, 0.8425, 0.7575], q:[0.3575, 0.485], qb:[0.7575, 0.8], phi:[0.4]] | t^2.145 + 2*t^2.273 + t^2.4 + 2*t^2.527 + t^2.655 + t^3.345 + t^4.11 + t^4.29 + 2*t^4.418 + 5*t^4.545 + 5*t^4.673 + 5*t^4.8 + 5*t^4.927 + 4*t^5.055 + t^5.182 + t^5.31 + t^5.49 + t^5.618 + 2*t^5.745 + t^5.873 - 3*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47066 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6598 | 0.8251 | 0.7997 | [M:[1.1553, 0.8894, 0.8447, 0.7106, 0.7553], q:[0.3553, 0.4894], qb:[0.7553, 0.8], phi:[0.4]] | t^2.132 + t^2.266 + t^2.4 + t^2.534 + t^2.668 + t^3.332 + t^3.466 + t^3.734 + t^4.136 + t^4.264 + t^4.398 + 3*t^4.532 + 3*t^4.666 + 2*t^4.8 + 3*t^4.934 + 2*t^5.068 + t^5.336 + t^5.464 + t^5.598 + 3*t^5.732 + 2*t^5.866 - t^6. - t^4.2/y - t^4.2*y | detail |