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 |
|---|---|---|---|---|---|---|---|---|---|
| 1229 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6848 | 0.8548 | 0.8012 | [M:[1.0, 1.1585, 0.9146, 0.8415, 0.8049, 0.7561], q:[0.7805, 0.378], qb:[0.622, 0.4635], phi:[0.439]] | [M:[[0], [-3], [-11], [3], [10], [-8]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{5}$ | ${}$ | -1 | t^2.268 + t^2.415 + t^2.524 + t^2.634 + t^2.744 + t^3. + t^3.476 + t^3.841 + t^4.098 + t^4.207 + t^4.317 + t^4.536 + t^4.573 + t^4.683 + t^4.793 + t^4.83 + t^4.902 + t^4.939 + t^5.012 + 3*t^5.049 + 2*t^5.159 + 2*t^5.268 + t^5.378 + t^5.415 + t^5.487 + t^5.634 + t^5.744 + t^5.89 - t^6. + t^6.11 + t^6.219 + t^6.366 + t^6.476 + t^6.513 + t^6.585 + 2*t^6.622 + t^6.732 + t^6.804 + 2*t^6.841 + 2*t^6.951 + t^6.988 + t^7.061 + 2*t^7.098 + t^7.17 + t^7.207 + t^7.244 + t^7.28 + 3*t^7.317 + t^7.354 + 2*t^7.427 + 2*t^7.464 + 2*t^7.536 + 3*t^7.573 + t^7.646 + 4*t^7.683 + t^7.756 + 2*t^7.793 + t^7.83 + 3*t^7.902 + 2*t^8.012 + t^8.049 + t^8.122 + t^8.196 + t^8.231 - t^8.268 + t^8.305 + t^8.378 - t^8.415 + t^8.487 - t^8.524 + t^8.671 - t^8.744 + t^8.853 + t^8.89 + t^8.927 + t^8.963 - t^4.317/y - t^6.585/y - t^6.732/y - t^6.951/y - t^7.061/y + t^7.573/y + (2*t^7.683)/y + t^7.793/y + (2*t^7.902)/y + t^7.939/y + t^8.012/y + (2*t^8.049)/y + (2*t^8.159)/y + (2*t^8.268)/y + t^8.378/y + t^8.415/y + t^8.524/y + t^8.634/y + (2*t^8.744)/y - t^8.853/y + t^8.89/y - t^4.317*y - t^6.585*y - t^6.732*y - t^6.951*y - t^7.061*y + t^7.573*y + 2*t^7.683*y + t^7.793*y + 2*t^7.902*y + t^7.939*y + t^8.012*y + 2*t^8.049*y + 2*t^8.159*y + 2*t^8.268*y + t^8.378*y + t^8.415*y + t^8.524*y + t^8.634*y + 2*t^8.744*y - t^8.853*y + t^8.89*y | t^2.268/g1^8 + g1^10*t^2.415 + g1^3*t^2.524 + t^2.634/g1^4 + t^2.744/g1^11 + t^3. + t^3.476/g1^3 + g1*t^3.841 + g1^12*t^4.098 + g1^5*t^4.207 + t^4.317/g1^2 + t^4.536/g1^16 + g1^9*t^4.573 + g1^2*t^4.683 + t^4.793/g1^5 + g1^20*t^4.83 + t^4.902/g1^12 + g1^13*t^4.939 + t^5.012/g1^19 + 3*g1^6*t^5.049 + (2*t^5.159)/g1 + (2*t^5.268)/g1^8 + t^5.378/g1^15 + g1^10*t^5.415 + t^5.487/g1^22 + t^5.634/g1^4 + t^5.744/g1^11 + g1^7*t^5.89 - t^6. + t^6.11/g1^7 + t^6.219/g1^14 + g1^4*t^6.366 + t^6.476/g1^3 + g1^22*t^6.513 + t^6.585/g1^10 + 2*g1^15*t^6.622 + g1^8*t^6.732 + t^6.804/g1^24 + 2*g1*t^6.841 + (2*t^6.951)/g1^6 + g1^19*t^6.988 + t^7.061/g1^13 + 2*g1^12*t^7.098 + t^7.17/g1^20 + g1^5*t^7.207 + g1^30*t^7.244 + t^7.28/g1^27 + (3*t^7.317)/g1^2 + g1^23*t^7.354 + (2*t^7.427)/g1^9 + 2*g1^16*t^7.464 + (2*t^7.536)/g1^16 + 3*g1^9*t^7.573 + t^7.646/g1^23 + 4*g1^2*t^7.683 + t^7.756/g1^30 + (2*t^7.793)/g1^5 + g1^20*t^7.83 + (3*t^7.902)/g1^12 + (2*t^8.012)/g1^19 + g1^6*t^8.049 + t^8.122/g1^26 + g1^24*t^8.196 + t^8.231/g1^33 - t^8.268/g1^8 + g1^17*t^8.305 + t^8.378/g1^15 - g1^10*t^8.415 + t^8.487/g1^22 - g1^3*t^8.524 + g1^21*t^8.671 - t^8.744/g1^11 + t^8.853/g1^18 + g1^7*t^8.89 + g1^32*t^8.927 + t^8.963/g1^25 - t^4.317/(g1^2*y) - t^6.585/(g1^10*y) - (g1^8*t^6.732)/y - t^6.951/(g1^6*y) - t^7.061/(g1^13*y) + (g1^9*t^7.573)/y + (2*g1^2*t^7.683)/y + t^7.793/(g1^5*y) + (2*t^7.902)/(g1^12*y) + (g1^13*t^7.939)/y + t^8.012/(g1^19*y) + (2*g1^6*t^8.049)/y + (2*t^8.159)/(g1*y) + (2*t^8.268)/(g1^8*y) + t^8.378/(g1^15*y) + (g1^10*t^8.415)/y + (g1^3*t^8.524)/y + t^8.634/(g1^4*y) + (2*t^8.744)/(g1^11*y) - t^8.853/(g1^18*y) + (g1^7*t^8.89)/y - (t^4.317*y)/g1^2 - (t^6.585*y)/g1^10 - g1^8*t^6.732*y - (t^6.951*y)/g1^6 - (t^7.061*y)/g1^13 + g1^9*t^7.573*y + 2*g1^2*t^7.683*y + (t^7.793*y)/g1^5 + (2*t^7.902*y)/g1^12 + g1^13*t^7.939*y + (t^8.012*y)/g1^19 + 2*g1^6*t^8.049*y + (2*t^8.159*y)/g1 + (2*t^8.268*y)/g1^8 + (t^8.378*y)/g1^15 + g1^10*t^8.415*y + g1^3*t^8.524*y + (t^8.634*y)/g1^4 + (2*t^8.744*y)/g1^11 - (t^8.853*y)/g1^18 + g1^7*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 2282 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6987 | 0.8788 | 0.795 | [M:[1.0, 1.1613, 0.9248, 0.8387, 0.7956, 0.7635, 0.8387], q:[0.7796, 0.3818], qb:[0.6182, 0.4569], phi:[0.4409]] | t^2.291 + t^2.387 + 2*t^2.516 + t^2.645 + t^2.774 + t^3. + t^3.839 + t^4.064 + t^4.193 + t^4.323 + t^4.548 + t^4.581 + t^4.677 + t^4.774 + 2*t^4.807 + 2*t^4.903 + t^4.936 + 5*t^5.032 + t^5.065 + 3*t^5.161 + 3*t^5.291 + t^5.387 + t^5.42 + t^5.516 + t^5.549 + t^5.645 - 2*t^6. - t^4.323/y - t^4.323*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 |