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 |
|---|---|---|---|---|---|---|---|---|---|
| 2175 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6824 | 0.8556 | 0.7975 | [M:[0.9661, 1.0873, 1.1408, 0.8592, 0.6845, 0.9127, 0.8592], q:[0.7718, 0.5437], qb:[0.4902, 0.369], phi:[0.4563]] | [M:[[13], [-4], [5], [-5], [3], [4], [-5]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$ | ${}M_{5}q_{1}q_{2}$ | -2 | t^2.053 + 2*t^2.578 + 2*t^2.738 + t^2.898 + t^3.583 + t^3.786 + t^3.947 + 2*t^4.107 + t^4.31 + t^4.471 + 3*t^4.631 + 2*t^4.791 + t^4.952 + 3*t^5.155 + 4*t^5.316 + 4*t^5.476 + 2*t^5.636 + t^5.797 - 2*t^6. + 2*t^6.16 + 2*t^6.321 + 2*t^6.364 + t^6.481 + 2*t^6.524 + 5*t^6.684 + 2*t^6.845 + 2*t^6.888 + t^7.005 + 3*t^7.048 + t^7.166 + 4*t^7.209 + 4*t^7.369 + 4*t^7.529 + 3*t^7.69 + 2*t^7.733 + t^7.85 + 4*t^7.893 + 4*t^8.053 + t^8.096 + 7*t^8.214 + t^8.257 + 4*t^8.374 + 2*t^8.535 - 6*t^8.578 + t^8.62 + t^8.695 - t^8.738 + t^8.781 + 4*t^8.941 - t^4.369/y - t^6.422/y - t^6.947/y - t^7.107/y - t^7.267/y + t^7.471/y + (3*t^7.631)/y + (3*t^7.791)/y + t^7.952/y + t^8.155/y + (5*t^8.316)/y + (2*t^8.476)/y + (3*t^8.636)/y + t^8.84/y - t^4.369*y - t^6.422*y - t^6.947*y - t^7.107*y - t^7.267*y + t^7.471*y + 3*t^7.631*y + 3*t^7.791*y + t^7.952*y + t^8.155*y + 5*t^8.316*y + 2*t^8.476*y + 3*t^8.636*y + t^8.84*y | g1^3*t^2.053 + (2*t^2.578)/g1^5 + 2*g1^4*t^2.738 + g1^13*t^2.898 + g1^14*t^3.583 + t^3.786/g1^12 + t^3.947/g1^3 + 2*g1^6*t^4.107 + t^4.31/g1^20 + t^4.471/g1^11 + (3*t^4.631)/g1^2 + 2*g1^7*t^4.791 + g1^16*t^4.952 + (3*t^5.155)/g1^10 + (4*t^5.316)/g1 + 4*g1^8*t^5.476 + 2*g1^17*t^5.636 + g1^26*t^5.797 - 2*t^6. + 2*g1^9*t^6.16 + 2*g1^18*t^6.321 + (2*t^6.364)/g1^17 + g1^27*t^6.481 + (2*t^6.524)/g1^8 + 5*g1*t^6.684 + 2*g1^10*t^6.845 + (2*t^6.888)/g1^25 + g1^19*t^7.005 + (3*t^7.048)/g1^16 + g1^28*t^7.166 + (4*t^7.209)/g1^7 + 4*g1^2*t^7.369 + 4*g1^11*t^7.529 + 3*g1^20*t^7.69 + (2*t^7.733)/g1^15 + g1^29*t^7.85 + (4*t^7.893)/g1^6 + 4*g1^3*t^8.053 + t^8.096/g1^32 + 7*g1^12*t^8.214 + t^8.257/g1^23 + 4*g1^21*t^8.374 + 2*g1^30*t^8.535 - (6*t^8.578)/g1^5 + t^8.62/g1^40 + g1^39*t^8.695 - g1^4*t^8.738 + t^8.781/g1^31 + (4*t^8.941)/g1^22 - (g1^2*t^4.369)/y - (g1^5*t^6.422)/y - t^6.947/(g1^3*y) - (g1^6*t^7.107)/y - (g1^15*t^7.267)/y + t^7.471/(g1^11*y) + (3*t^7.631)/(g1^2*y) + (3*g1^7*t^7.791)/y + (g1^16*t^7.952)/y + t^8.155/(g1^10*y) + (5*t^8.316)/(g1*y) + (2*g1^8*t^8.476)/y + (3*g1^17*t^8.636)/y + t^8.84/(g1^9*y) - g1^2*t^4.369*y - g1^5*t^6.422*y - (t^6.947*y)/g1^3 - g1^6*t^7.107*y - g1^15*t^7.267*y + (t^7.471*y)/g1^11 + (3*t^7.631*y)/g1^2 + 3*g1^7*t^7.791*y + g1^16*t^7.952*y + (t^8.155*y)/g1^10 + (5*t^8.316*y)/g1 + 2*g1^8*t^8.476*y + 3*g1^17*t^8.636*y + (t^8.84*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4158 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ | 0.7031 | 0.8961 | 0.7846 | [M:[0.965, 1.0877, 1.1404, 0.8596, 0.6842, 0.9123, 0.8596, 0.6842], q:[0.7719, 0.5439], qb:[0.4912, 0.3684], phi:[0.4561]] | 2*t^2.053 + 2*t^2.579 + 2*t^2.737 + t^2.895 + t^3.579 + t^3.789 + 4*t^4.105 + t^4.316 + t^4.474 + 5*t^4.632 + 4*t^4.79 + 2*t^4.948 + 3*t^5.158 + 4*t^5.316 + 4*t^5.474 + 3*t^5.632 + t^5.79 + t^5.842 - 3*t^6. - t^4.368/y - t^4.368*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1136 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.6702 | 0.8351 | 0.8025 | [M:[0.9504, 1.0922, 1.1348, 0.8652, 0.6809, 0.9078], q:[0.773, 0.5461], qb:[0.5035, 0.3617], phi:[0.4539]] | t^2.043 + t^2.596 + 2*t^2.723 + t^2.851 + t^3.404 + t^3.532 + t^3.83 + t^3.957 + 2*t^4.085 + t^4.383 + t^4.511 + 2*t^4.638 + 2*t^4.766 + t^4.894 + t^5.191 + 2*t^5.319 + 4*t^5.447 + 2*t^5.574 + t^5.702 - t^6. - t^4.362/y - t^4.362*y | detail | {a: 63/94, c: 157/188, M1: 134/141, M2: 154/141, M3: 160/141, M4: 122/141, M5: 32/47, M6: 128/141, q1: 109/141, q2: 77/141, qb1: 71/141, qb2: 17/47, phi1: 64/141} |