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 |
|---|---|---|---|---|---|---|---|---|---|
| 511 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ | 0.6954 | 0.8497 | 0.8184 | [M:[0.9793, 0.9586, 1.0, 1.0414], q:[0.5518, 0.4689], qb:[0.4896, 0.5311], phi:[0.4896]] | [M:[[-2], [-4], [0], [4]], q:[[5], [-3]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.876 + 2*t^2.938 + t^3. + t^3.062 + t^3.124 + t^3.248 + t^4.283 + t^4.345 + t^4.407 + t^4.469 + 2*t^4.531 + t^4.593 + t^4.655 + t^4.717 + t^4.78 + 3*t^5.876 + t^5.938 + t^6.062 + t^6.124 + t^6.186 + t^6.248 + t^6.311 + t^6.373 + t^6.497 + t^7.158 + 2*t^7.22 + 2*t^7.283 + 2*t^7.345 + 2*t^7.407 + 3*t^7.469 + 3*t^7.531 + 2*t^7.593 + 3*t^7.655 + 3*t^7.717 + 2*t^7.78 + t^7.842 + 2*t^7.904 + t^7.966 + t^8.028 + t^8.565 + t^8.627 + t^8.752 + 5*t^8.814 - t^8.876 - t^8.938 - t^4.469/y - (2*t^7.407)/y + (2*t^7.531)/y + (2*t^8.814)/y + (2*t^8.876)/y + (3*t^8.938)/y - t^4.469*y - 2*t^7.407*y + 2*t^7.531*y + 2*t^8.814*y + 2*t^8.876*y + 3*t^8.938*y | t^2.876/g1^4 + (2*t^2.938)/g1^2 + t^3. + g1^2*t^3.062 + g1^4*t^3.124 + g1^8*t^3.248 + t^4.283/g1^7 + t^4.345/g1^5 + t^4.407/g1^3 + t^4.469/g1 + 2*g1*t^4.531 + g1^3*t^4.593 + g1^5*t^4.655 + g1^7*t^4.717 + g1^9*t^4.78 + (3*t^5.876)/g1^4 + t^5.938/g1^2 + g1^2*t^6.062 + g1^4*t^6.124 + g1^6*t^6.186 + g1^8*t^6.248 + g1^10*t^6.311 + g1^12*t^6.373 + g1^16*t^6.497 + t^7.158/g1^11 + (2*t^7.22)/g1^9 + (2*t^7.283)/g1^7 + (2*t^7.345)/g1^5 + (2*t^7.407)/g1^3 + (3*t^7.469)/g1 + 3*g1*t^7.531 + 2*g1^3*t^7.593 + 3*g1^5*t^7.655 + 3*g1^7*t^7.717 + 2*g1^9*t^7.78 + g1^11*t^7.842 + 2*g1^13*t^7.904 + g1^15*t^7.966 + g1^17*t^8.028 + t^8.565/g1^14 + t^8.627/g1^12 + t^8.752/g1^8 + (5*t^8.814)/g1^6 - t^8.876/g1^4 - t^8.938/g1^2 - t^4.469/(g1*y) - (2*t^7.407)/(g1^3*y) + (2*g1*t^7.531)/y + (2*t^8.814)/(g1^6*y) + (2*t^8.876)/(g1^4*y) + (3*t^8.938)/(g1^2*y) - (t^4.469*y)/g1 - (2*t^7.407*y)/g1^3 + 2*g1*t^7.531*y + (2*t^8.814*y)/g1^6 + (2*t^8.876*y)/g1^4 + (3*t^8.938*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 |
|---|---|---|---|---|---|---|---|---|
| 800 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{4}M_{5}$ | 0.7002 | 0.8574 | 0.8166 | [M:[0.9692, 0.9384, 1.0, 1.0616, 0.9384], q:[0.577, 0.4538], qb:[0.4846, 0.5462], phi:[0.4846]] | 2*t^2.815 + 2*t^2.908 + t^3. + t^3.092 + t^3.37 + t^4.176 + t^4.269 + t^4.361 + t^4.454 + 2*t^4.546 + t^4.639 + t^4.731 + t^4.824 + t^4.916 + 2*t^5.63 + 2*t^5.723 + 4*t^5.815 + 2*t^5.908 - t^6. - t^4.454/y - t^4.454*y | detail | |
| 799 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6976 | 0.853 | 0.8178 | [M:[0.9741, 0.9483, 1.0, 1.0517, 0.9741], q:[0.5647, 0.4612], qb:[0.4871, 0.5388], phi:[0.4871]] | t^2.845 + 3*t^2.922 + t^3. + t^3.155 + t^3.31 + t^4.228 + t^4.306 + t^4.384 + t^4.461 + 2*t^4.539 + t^4.616 + t^4.694 + t^4.772 + t^4.849 + t^5.767 + 6*t^5.845 + t^5.922 - 2*t^6. - t^4.461/y - t^4.461*y | detail | |
| 1863 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5751 | 0.7179 | 0.801 | [M:[0.8571, 0.7143, 1.0, 1.2857], q:[0.8571, 0.2857], qb:[0.4286, 0.7143], phi:[0.4286]] | t^2.143 + 2*t^2.571 + 2*t^3. + 2*t^3.429 + 2*t^3.857 + t^4.286 + 3*t^4.714 + 5*t^5.143 + 4*t^5.571 + 4*t^6. - t^4.286/y - t^4.286*y | detail | {a: 789/1372, c: 985/1372, M1: 6/7, M2: 5/7, M3: 1, M4: 9/7, q1: 6/7, q2: 2/7, qb1: 3/7, qb2: 5/7, phi1: 3/7} |
| 1864 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6273 | 0.7731 | 0.8114 | [M:[0.8889, 0.7778, 1.0, 1.2222], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | t^2.333 + 2*t^2.667 + t^3. + 2*t^3.333 + 2*t^3.667 + t^4. + 2*t^4.333 + 2*t^4.667 + t^5. + 4*t^5.333 + 3*t^5.667 + 3*t^6. - t^4.333/y - t^4.333*y | detail | {a: 271/432, c: 167/216, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, q1: 7/9, q2: 1/3, qb1: 4/9, qb2: 2/3, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 329 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ | 0.7203 | 0.8807 | 0.8179 | [M:[0.9045, 1.0186, 0.7904, 0.9814], q:[0.5292, 0.5663], qb:[0.4522, 0.6433], phi:[0.4522]] | t^2.371 + 2*t^2.713 + t^2.944 + t^3.056 + t^3.287 + t^3.517 + t^4.07 + t^4.301 + t^4.412 + t^4.532 + 2*t^4.643 + t^4.742 + t^4.755 + t^4.874 + t^4.986 + 2*t^5.085 + t^5.216 + t^5.316 + 3*t^5.427 + t^5.658 + t^5.889 - t^6. - t^4.357/y - t^4.357*y | detail |