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 |
|---|---|---|---|---|---|---|---|---|---|
| 1231 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6864 | 0.8594 | 0.7987 | [M:[1.0, 1.1632, 0.9317, 0.8368, 0.7894, 0.7211], q:[0.7789, 0.3843], qb:[0.6157, 0.4526], phi:[0.4421]] | [M:[[0], [-3], [-11], [3], [10], [-1]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.163 + t^2.368 + t^2.51 + t^2.653 + t^2.795 + t^3. + t^3.49 + t^3.694 + t^4.042 + t^4.184 + 2*t^4.326 + 2*t^4.531 + t^4.674 + t^4.736 + t^4.816 + t^4.879 + t^4.958 + 3*t^5.021 + 3*t^5.163 + t^5.306 + t^5.368 + t^5.448 + t^5.59 + 2*t^5.653 + 2*t^5.858 - t^6. + t^6.063 + t^6.205 + t^6.285 + t^6.347 + t^6.41 + 2*t^6.49 + 2*t^6.552 - t^6.632 + 4*t^6.694 + t^6.837 + 2*t^6.899 + 2*t^6.979 + 2*t^7.042 + t^7.104 + t^7.121 + 4*t^7.184 + t^7.247 + 2*t^7.326 + 3*t^7.389 + t^7.469 + 4*t^7.531 + t^7.611 + 2*t^7.674 + 2*t^7.736 + t^7.753 + 4*t^7.816 + 2*t^7.958 + 3*t^8.021 + t^8.083 + t^8.101 - 3*t^8.163 + 3*t^8.226 + t^8.243 - t^8.368 + t^8.385 + t^8.431 + t^8.448 + 2*t^8.573 + t^8.653 + 3*t^8.715 + t^8.778 - 3*t^8.795 + 2*t^8.858 + 2*t^8.92 - t^4.326/y - t^6.49/y - t^6.694/y - t^6.979/y - t^7.121/y + (2*t^7.531)/y + (2*t^7.674)/y + t^7.816/y + t^7.879/y + (2*t^7.958)/y + t^8.021/y + (4*t^8.163)/y + t^8.306/y + t^8.368/y + t^8.448/y + t^8.51/y + t^8.653/y + t^8.795/y + t^8.858/y - t^4.326*y - t^6.49*y - t^6.694*y - t^6.979*y - t^7.121*y + 2*t^7.531*y + 2*t^7.674*y + t^7.816*y + t^7.879*y + 2*t^7.958*y + t^8.021*y + 4*t^8.163*y + t^8.306*y + t^8.368*y + t^8.448*y + t^8.51*y + t^8.653*y + t^8.795*y + t^8.858*y | t^2.163/g1 + g1^10*t^2.368 + g1^3*t^2.51 + t^2.653/g1^4 + t^2.795/g1^11 + t^3. + t^3.49/g1^3 + g1^8*t^3.694 + g1^12*t^4.042 + g1^5*t^4.184 + (2*t^4.326)/g1^2 + 2*g1^9*t^4.531 + g1^2*t^4.674 + g1^20*t^4.736 + t^4.816/g1^5 + g1^13*t^4.879 + t^4.958/g1^12 + 3*g1^6*t^5.021 + (3*t^5.163)/g1 + t^5.306/g1^8 + g1^10*t^5.368 + t^5.448/g1^15 + t^5.59/g1^22 + (2*t^5.653)/g1^4 + 2*g1^7*t^5.858 - t^6. + g1^18*t^6.063 + g1^11*t^6.205 + t^6.285/g1^14 + g1^4*t^6.347 + g1^22*t^6.41 + (2*t^6.49)/g1^3 + 2*g1^15*t^6.552 - t^6.632/g1^10 + 4*g1^8*t^6.694 + g1*t^6.837 + 2*g1^19*t^6.899 + (2*t^6.979)/g1^6 + 2*g1^12*t^7.042 + g1^30*t^7.104 + t^7.121/g1^13 + 4*g1^5*t^7.184 + g1^23*t^7.247 + (2*t^7.326)/g1^2 + 3*g1^16*t^7.389 + t^7.469/g1^9 + 4*g1^9*t^7.531 + t^7.611/g1^16 + 2*g1^2*t^7.674 + 2*g1^20*t^7.736 + t^7.753/g1^23 + (4*t^7.816)/g1^5 + (2*t^7.958)/g1^12 + 3*g1^6*t^8.021 + g1^24*t^8.083 + t^8.101/g1^19 - (3*t^8.163)/g1 + 3*g1^17*t^8.226 + t^8.243/g1^26 - g1^10*t^8.368 + t^8.385/g1^33 + g1^28*t^8.431 + t^8.448/g1^15 + 2*g1^21*t^8.573 + t^8.653/g1^4 + 3*g1^14*t^8.715 + g1^32*t^8.778 - (3*t^8.795)/g1^11 + 2*g1^7*t^8.858 + 2*g1^25*t^8.92 - t^4.326/(g1^2*y) - t^6.49/(g1^3*y) - (g1^8*t^6.694)/y - t^6.979/(g1^6*y) - t^7.121/(g1^13*y) + (2*g1^9*t^7.531)/y + (2*g1^2*t^7.674)/y + t^7.816/(g1^5*y) + (g1^13*t^7.879)/y + (2*t^7.958)/(g1^12*y) + (g1^6*t^8.021)/y + (4*t^8.163)/(g1*y) + t^8.306/(g1^8*y) + (g1^10*t^8.368)/y + t^8.448/(g1^15*y) + (g1^3*t^8.51)/y + t^8.653/(g1^4*y) + t^8.795/(g1^11*y) + (g1^7*t^8.858)/y - (t^4.326*y)/g1^2 - (t^6.49*y)/g1^3 - g1^8*t^6.694*y - (t^6.979*y)/g1^6 - (t^7.121*y)/g1^13 + 2*g1^9*t^7.531*y + 2*g1^2*t^7.674*y + (t^7.816*y)/g1^5 + g1^13*t^7.879*y + (2*t^7.958*y)/g1^12 + g1^6*t^8.021*y + (4*t^8.163*y)/g1 + (t^8.306*y)/g1^8 + g1^10*t^8.368*y + (t^8.448*y)/g1^15 + g1^3*t^8.51*y + (t^8.653*y)/g1^4 + (t^8.795*y)/g1^11 + g1^7*t^8.858*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 |
|---|---|---|---|---|---|---|---|---|
| 2273 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.7006 | 0.8845 | 0.792 | [M:[1.0, 1.1663, 0.9429, 0.8337, 0.7791, 0.7221, 0.8337], q:[0.7779, 0.3883], qb:[0.6117, 0.4454], phi:[0.4442]] | t^2.166 + t^2.337 + 2*t^2.501 + t^2.665 + t^2.829 + t^3. + t^3.67 + t^4.005 + t^4.169 + 2*t^4.333 + 2*t^4.504 + 2*t^4.667 + t^4.675 + t^4.831 + 2*t^4.839 + t^4.995 + 5*t^5.002 + 4*t^5.166 + 2*t^5.33 + t^5.337 + t^5.494 + t^5.501 + t^5.658 + t^5.665 + t^5.836 - 2*t^6. - t^4.333/y - t^4.333*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 |
|---|---|---|---|---|---|---|---|---|---|
| 746 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.6663 | 0.822 | 0.8106 | [M:[1.0, 1.1636, 0.9332, 0.8364, 0.788], q:[0.7788, 0.3848], qb:[0.6152, 0.4516], phi:[0.4424]] | t^2.364 + t^2.509 + t^2.654 + t^2.8 + t^3. + t^3.491 + t^3.691 + t^3.836 + t^4.037 + t^4.182 + t^4.327 + t^4.528 + t^4.728 + t^4.873 + 3*t^5.018 + 2*t^5.164 + t^5.309 + t^5.364 + t^5.454 + t^5.599 + t^5.654 + t^5.855 - t^6. - t^4.327/y - t^4.327*y | detail |