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 |
|---|---|---|---|---|---|---|---|---|---|
| 2467 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.7032 | 0.8665 | 0.8116 | [M:[1.0248, 0.9255, 1.0745, 0.8758, 1.0, 0.9503, 0.9752], q:[0.4503, 0.5248], qb:[0.4752, 0.5994], phi:[0.4876]] | [M:[[2], [-6], [6], [-10], [0], [-4], [-2]], q:[[-4], [2]], qb:[[-2], [8]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.627 + t^2.776 + t^2.851 + 2*t^2.925 + t^3. + t^3.224 + t^4.165 + t^4.239 + t^4.314 + t^4.388 + t^4.463 + 2*t^4.612 + t^4.686 + t^4.835 + t^5.059 + t^5.255 + t^5.404 + t^5.478 + 2*t^5.553 + t^5.627 + 3*t^5.702 + t^5.776 + 4*t^5.851 + t^5.925 - 2*t^6. - t^6.224 - t^6.373 + t^6.792 + t^6.866 + 2*t^6.941 + 2*t^7.016 + 4*t^7.09 + 4*t^7.165 + 3*t^7.239 + 3*t^7.314 + 2*t^7.388 + t^7.463 + 3*t^7.537 + 2*t^7.612 - t^7.686 + t^7.835 + t^7.882 + t^7.984 + t^8.031 + t^8.059 + t^8.106 - t^8.134 + 2*t^8.18 + t^8.255 + t^8.283 + 4*t^8.329 + 2*t^8.404 + 5*t^8.478 + 3*t^8.553 + 3*t^8.627 + t^8.702 + 3*t^8.776 - t^8.851 - 4*t^8.925 - t^4.463/y - t^7.09/y - t^7.314/y - t^7.388/y + t^7.537/y + t^7.612/y + t^7.835/y + t^8.404/y + t^8.478/y + (2*t^8.553)/y + (2*t^8.627)/y + (2*t^8.702)/y + (3*t^8.776)/y + (3*t^8.851)/y + (2*t^8.925)/y - t^4.463*y - t^7.09*y - t^7.314*y - t^7.388*y + t^7.537*y + t^7.612*y + t^7.835*y + t^8.404*y + t^8.478*y + 2*t^8.553*y + 2*t^8.627*y + 2*t^8.702*y + 3*t^8.776*y + 3*t^8.851*y + 2*t^8.925*y | t^2.627/g1^10 + t^2.776/g1^6 + t^2.851/g1^4 + (2*t^2.925)/g1^2 + t^3. + g1^6*t^3.224 + t^4.165/g1^9 + t^4.239/g1^7 + t^4.314/g1^5 + t^4.388/g1^3 + t^4.463/g1 + 2*g1^3*t^4.612 + g1^5*t^4.686 + g1^9*t^4.835 + g1^15*t^5.059 + t^5.255/g1^20 + t^5.404/g1^16 + t^5.478/g1^14 + (2*t^5.553)/g1^12 + t^5.627/g1^10 + (3*t^5.702)/g1^8 + t^5.776/g1^6 + (4*t^5.851)/g1^4 + t^5.925/g1^2 - 2*t^6. - g1^6*t^6.224 - g1^10*t^6.373 + t^6.792/g1^19 + t^6.866/g1^17 + (2*t^6.941)/g1^15 + (2*t^7.016)/g1^13 + (4*t^7.09)/g1^11 + (4*t^7.165)/g1^9 + (3*t^7.239)/g1^7 + (3*t^7.314)/g1^5 + (2*t^7.388)/g1^3 + t^7.463/g1 + 3*g1*t^7.537 + 2*g1^3*t^7.612 - g1^5*t^7.686 + g1^9*t^7.835 + t^7.882/g1^30 + g1^13*t^7.984 + t^8.031/g1^26 + g1^15*t^8.059 + t^8.106/g1^24 - g1^17*t^8.134 + (2*t^8.18)/g1^22 + t^8.255/g1^20 + g1^21*t^8.283 + (4*t^8.329)/g1^18 + (2*t^8.404)/g1^16 + (5*t^8.478)/g1^14 + (3*t^8.553)/g1^12 + (3*t^8.627)/g1^10 + t^8.702/g1^8 + (3*t^8.776)/g1^6 - t^8.851/g1^4 - (4*t^8.925)/g1^2 - t^4.463/(g1*y) - t^7.09/(g1^11*y) - t^7.314/(g1^5*y) - t^7.388/(g1^3*y) + (g1*t^7.537)/y + (g1^3*t^7.612)/y + (g1^9*t^7.835)/y + t^8.404/(g1^16*y) + t^8.478/(g1^14*y) + (2*t^8.553)/(g1^12*y) + (2*t^8.627)/(g1^10*y) + (2*t^8.702)/(g1^8*y) + (3*t^8.776)/(g1^6*y) + (3*t^8.851)/(g1^4*y) + (2*t^8.925)/(g1^2*y) - (t^4.463*y)/g1 - (t^7.09*y)/g1^11 - (t^7.314*y)/g1^5 - (t^7.388*y)/g1^3 + g1*t^7.537*y + g1^3*t^7.612*y + g1^9*t^7.835*y + (t^8.404*y)/g1^16 + (t^8.478*y)/g1^14 + (2*t^8.553*y)/g1^12 + (2*t^8.627*y)/g1^10 + (2*t^8.702*y)/g1^8 + (3*t^8.776*y)/g1^6 + (3*t^8.851*y)/g1^4 + (2*t^8.925*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4517 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6973 | 0.8552 | 0.8154 | [M:[1.0177, 0.9468, 1.0532, 0.9113, 1.0, 0.9645, 0.9823, 1.0532], q:[0.4645, 0.5177], qb:[0.4823, 0.5709], phi:[0.4911]] | t^2.734 + t^2.894 + 2*t^2.947 + t^3. + 2*t^3.16 + t^4.261 + t^4.314 + t^4.367 + t^4.42 + t^4.473 + 2*t^4.58 + t^4.633 + t^4.739 + t^4.899 + t^5.468 + t^5.628 + t^5.681 + t^5.787 + 5*t^5.894 + t^5.947 - 3*t^6. - t^4.473/y - t^4.473*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1420 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.701 | 0.8622 | 0.8131 | [M:[1.0224, 0.9327, 1.0673, 0.8879, 1.0, 0.9551], q:[0.4551, 0.5224], qb:[0.4776, 0.5897], phi:[0.4888]] | t^2.664 + t^2.798 + t^2.865 + t^2.933 + t^3. + t^3.067 + t^3.202 + t^4.197 + t^4.265 + t^4.332 + t^4.399 + t^4.466 + 2*t^4.601 + t^4.668 + t^4.803 + t^5.005 + t^5.327 + t^5.462 + t^5.529 + t^5.596 + t^5.664 + 3*t^5.731 + 3*t^5.865 + t^5.933 - t^6. - t^4.466/y - t^4.466*y | detail |