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 |
|---|---|---|---|---|---|---|---|---|---|
| 800 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{4}M_{5}$ | 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]] | [M:[[-2], [-4], [0], [4], [-4]], q:[[5], [-3]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 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^6.092 + t^6.185 + t^6.462 + t^6.74 + 2*t^6.992 + 3*t^7.084 + 3*t^7.176 + 3*t^7.269 + 3*t^7.361 + 3*t^7.454 + 3*t^7.546 + 2*t^7.639 + 2*t^7.731 + 2*t^7.824 + t^7.916 + t^8.101 + t^8.193 + t^8.286 + t^8.353 + 3*t^8.445 + 2*t^8.538 + 5*t^8.63 + 7*t^8.723 - 2*t^8.815 - 2*t^8.908 - t^4.454/y - t^7.269/y - (2*t^7.361)/y + (2*t^7.546)/y + t^7.639/y + t^8.63/y + (4*t^8.723)/y + (3*t^8.815)/y + (4*t^8.908)/y - t^4.454*y - t^7.269*y - 2*t^7.361*y + 2*t^7.546*y + t^7.639*y + t^8.63*y + 4*t^8.723*y + 3*t^8.815*y + 4*t^8.908*y | (2*t^2.815)/g1^4 + (2*t^2.908)/g1^2 + t^3. + g1^2*t^3.092 + g1^8*t^3.37 + t^4.176/g1^7 + t^4.269/g1^5 + t^4.361/g1^3 + t^4.454/g1 + 2*g1*t^4.546 + g1^3*t^4.639 + g1^5*t^4.731 + g1^7*t^4.824 + g1^9*t^4.916 + (2*t^5.63)/g1^8 + (2*t^5.723)/g1^6 + (4*t^5.815)/g1^4 + (2*t^5.908)/g1^2 - t^6. - g1^2*t^6.092 + g1^4*t^6.185 + g1^10*t^6.462 + g1^16*t^6.74 + (2*t^6.992)/g1^11 + (3*t^7.084)/g1^9 + (3*t^7.176)/g1^7 + (3*t^7.269)/g1^5 + (3*t^7.361)/g1^3 + (3*t^7.454)/g1 + 3*g1*t^7.546 + 2*g1^3*t^7.639 + 2*g1^5*t^7.731 + 2*g1^7*t^7.824 + g1^9*t^7.916 + g1^13*t^8.101 + g1^15*t^8.193 + g1^17*t^8.286 + t^8.353/g1^14 + (3*t^8.445)/g1^12 + (2*t^8.538)/g1^10 + (5*t^8.63)/g1^8 + (7*t^8.723)/g1^6 - (2*t^8.815)/g1^4 - (2*t^8.908)/g1^2 - t^4.454/(g1*y) - t^7.269/(g1^5*y) - (2*t^7.361)/(g1^3*y) + (2*g1*t^7.546)/y + (g1^3*t^7.639)/y + t^8.63/(g1^8*y) + (4*t^8.723)/(g1^6*y) + (3*t^8.815)/(g1^4*y) + (4*t^8.908)/(g1^2*y) - (t^4.454*y)/g1 - (t^7.269*y)/g1^5 - (2*t^7.361*y)/g1^3 + 2*g1*t^7.546*y + g1^3*t^7.639*y + (t^8.63*y)/g1^8 + (4*t^8.723*y)/g1^6 + (3*t^8.815*y)/g1^4 + (4*t^8.908*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 |
|---|---|---|---|---|---|---|---|---|
| 1279 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6975 | 0.853 | 0.8178 | [M:[0.9743, 0.9486, 1.0, 1.0514, 0.9486, 1.0257], q:[0.5642, 0.4615], qb:[0.4872, 0.5385], phi:[0.4872]] | 2*t^2.846 + t^2.923 + t^3. + 2*t^3.077 + t^3.308 + t^4.23 + t^4.307 + t^4.384 + t^4.461 + 2*t^4.539 + t^4.616 + t^4.693 + t^4.77 + t^4.847 + 2*t^5.692 + 2*t^5.846 + 3*t^5.923 - t^6. - t^4.461/y - t^4.461*y | detail | |
| 2000 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.5953 | 0.756 | 0.7874 | [M:[0.8571, 0.7143, 1.0, 1.2857, 0.7143], q:[0.8571, 0.2857], qb:[0.4286, 0.7143], phi:[0.4286]] | 2*t^2.143 + 2*t^2.571 + 2*t^3. + 2*t^3.429 + t^3.857 + 3*t^4.286 + 5*t^4.714 + 7*t^5.143 + 6*t^5.571 + 4*t^6. - t^4.286/y - t^4.286*y | detail | {a: 3267/5488, c: 4149/5488, M1: 6/7, M2: 5/7, M3: 1, M4: 9/7, M5: 5/7, q1: 6/7, q2: 2/7, qb1: 3/7, qb2: 5/7, phi1: 3/7} |
| 2002 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{3}^{2}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6451 | 0.8048 | 0.8015 | [M:[0.8889, 0.7778, 1.0, 1.2222, 0.7778], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | 2*t^2.333 + 2*t^2.667 + t^3. + 2*t^3.333 + t^3.667 + t^4. + 2*t^4.333 + 4*t^4.667 + 3*t^5. + 5*t^5.333 + 5*t^5.667 + 3*t^6. - t^4.333/y - t^4.333*y | detail | {a: 209/324, c: 1043/1296, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 7/9, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.469/y - t^4.469*y | detail |