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 |
|---|---|---|---|---|---|---|---|---|---|
| 1345 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6327 | 0.8272 | 0.7649 | [M:[0.963, 1.1111, 1.037, 0.8889, 0.7407, 0.7407], q:[0.7407, 0.2963], qb:[0.4444, 0.4444], phi:[0.5185]] | [M:[[4], [-12], [-4], [12], [1], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 | {a: 205/324, c: 67/81, M1: 26/27, M2: 10/9, M3: 28/27, M4: 8/9, M5: 20/27, M6: 20/27, q1: 20/27, q2: 8/27, qb1: 4/9, qb2: 4/9, phi1: 14/27} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$ | -5 | 4*t^2.222 + t^2.667 + 2*t^3.111 + t^3.333 + 2*t^3.556 + 3*t^4.222 + 10*t^4.444 + 4*t^4.889 + 9*t^5.333 + 2*t^5.556 + 9*t^5.778 - 5*t^6. + 3*t^6.222 + 10*t^6.444 + 21*t^6.667 + t^6.889 + 8*t^7.111 + t^7.333 + 19*t^7.556 + 6*t^7.778 + 19*t^8. - 22*t^8.222 + 18*t^8.444 + 13*t^8.667 + 39*t^8.889 - t^4.556/y - (2*t^6.778)/y + (7*t^7.444)/y - t^7.667/y + (4*t^7.889)/y + (10*t^8.333)/y + (4*t^8.556)/y + (10*t^8.778)/y - t^4.556*y - 2*t^6.778*y + 7*t^7.444*y - t^7.667*y + 4*t^7.889*y + 10*t^8.333*y + 4*t^8.556*y + 10*t^8.778*y | 4*g1*t^2.222 + g1^12*t^2.667 + (2*t^3.111)/g1^4 + t^3.333/g1^12 + 2*g1^7*t^3.556 + 3*g1^10*t^4.222 + 10*g1^2*t^4.444 + 4*g1^13*t^4.889 + (8*t^5.333)/g1^3 + g1^24*t^5.333 + (2*t^5.556)/g1^11 + 9*g1^8*t^5.778 - 5*t^6. + t^6.222/g1^8 + 2*g1^19*t^6.222 + (2*t^6.444)/g1^16 + 8*g1^11*t^6.444 + t^6.667/g1^24 + 20*g1^3*t^6.667 - (2*t^6.889)/g1^5 + 3*g1^22*t^6.889 - (2*t^7.111)/g1^13 + 10*g1^14*t^7.111 + g1^6*t^7.333 + (15*t^7.556)/g1^2 + 4*g1^25*t^7.556 + (2*t^7.778)/g1^10 + 4*g1^17*t^7.778 + 18*g1^9*t^8. + g1^36*t^8. - 22*g1*t^8.222 + (4*t^8.444)/g1^7 + 14*g1^20*t^8.444 + (4*t^8.667)/g1^15 + 9*g1^12*t^8.667 + (2*t^8.889)/g1^23 + 35*g1^4*t^8.889 + 2*g1^31*t^8.889 - t^4.556/(g1^2*y) - (2*t^6.778)/(g1*y) + (7*g1^2*t^7.444)/y - t^7.667/(g1^6*y) + (4*g1^13*t^7.889)/y + (10*t^8.333)/(g1^3*y) + (4*t^8.556)/(g1^11*y) + (10*g1^8*t^8.778)/y - (t^4.556*y)/g1^2 - (2*t^6.778*y)/g1 + 7*g1^2*t^7.444*y - (t^7.667*y)/g1^6 + 4*g1^13*t^7.889*y + (10*t^8.333*y)/g1^3 + (4*t^8.556*y)/g1^11 + 10*g1^8*t^8.778*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 |
|---|---|---|---|---|---|---|---|---|
| 2394 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.553 | 0.7261 | 0.7616 | [M:[1.0769, 0.7692, 0.9231, 1.2308, 0.7692, 0.7692], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 5*t^2.308 + 2*t^2.769 + t^3.692 + 2*t^4.154 + 13*t^4.615 + 13*t^5.077 + t^5.538 - 3*t^6. - t^4.385/y - t^4.385*y | detail | {a: 1215/2197, c: 6381/8788, M1: 14/13, M2: 10/13, M3: 12/13, M4: 16/13, M5: 10/13, M6: 10/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
| 2396 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6488 | 0.8541 | 0.7596 | [M:[0.9712, 1.0864, 1.0288, 0.9136, 0.7428, 0.7428, 0.8004], q:[0.7428, 0.286], qb:[0.4568, 0.4568], phi:[0.5144]] | 4*t^2.228 + t^2.401 + t^2.741 + 2*t^3.086 + t^3.259 + t^3.599 + 3*t^4.284 + 10*t^4.457 + 4*t^4.63 + t^4.803 + 4*t^4.969 + t^5.142 + 8*t^5.315 + t^5.481 + 4*t^5.488 + t^5.661 + 5*t^5.827 - 4*t^6. - t^4.543/y - t^4.543*y | detail | |
| 2395 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$ | 0.6136 | 0.8182 | 0.75 | [M:[0.9091, 1.2727, 1.0909, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 5*t^2.182 + 4*t^3.273 + 4*t^3.818 + 15*t^4.364 + 19*t^5.455 + 8*t^6. - t^4.636/y - t^4.636*y | detail | {a: 27/44, c: 9/11, M1: 10/11, M2: 14/11, M3: 12/11, M4: 8/11, M5: 8/11, M6: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 848 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6133 | 0.7914 | 0.7749 | [M:[0.9637, 1.1089, 1.0363, 0.8911, 0.7409], q:[0.7409, 0.2954], qb:[0.4455, 0.4455], phi:[0.5182]] | 3*t^2.223 + t^2.673 + 2*t^3.109 + t^3.327 + 2*t^3.559 + t^3.777 + 3*t^4.228 + 6*t^4.446 + 3*t^4.896 + 6*t^5.332 + t^5.346 + t^5.55 + 7*t^5.782 - 2*t^6. - t^4.554/y - t^4.554*y | detail |