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 |
|---|---|---|---|---|---|---|---|---|---|
| 8951 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}^{3}q_{1}^{2}$ | 1.207 | 1.3827 | 0.873 | [X:[1.6204], M:[1.051, 0.949, 0.949, 0.7592, 0.8471, 0.6713], q:[0.3796, 0.4815], qb:[], phi:[0.1898]] | [X:[[2]], M:[[5], [-5], [-5], [-4], [-15], [7]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{4}$, ${ }\phi_{1}^{8}$, ${ }M_{6}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{4}q_{1}q_{2}$, ${ }\phi_{1}^{4}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{4}$, ${ }M_{5}q_{1}q_{2}$, ${ }q_{1}^{2}q_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{2}q_{1}q_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$ | ${}$ | -2 | t^2.01 + 2*t^2.28 + t^2.54 + t^2.58 + 2*t^2.85 + t^4.03 + 3*t^4.29 + 4*t^4.56 + 2*t^4.6 + 2*t^4.82 + 5*t^4.86 + t^5.08 + 5*t^5.12 + t^5.17 + 2*t^5.39 + 2*t^5.43 + 2*t^5.69 - 2*t^6. + t^6.04 - t^6.26 + 2*t^6.31 + 5*t^6.57 + 2*t^6.61 + 6*t^6.83 + 7*t^6.88 + 4*t^7.1 + 12*t^7.14 + 2*t^7.18 + 2*t^7.36 + 10*t^7.4 + 5*t^7.44 + t^7.62 + 5*t^7.67 + 7*t^7.71 + t^7.75 + 2*t^7.93 + 6*t^7.97 - 2*t^8.01 + t^8.06 + 2*t^8.24 - 2*t^8.28 + t^8.32 - 2*t^8.54 - 2*t^8.58 + 2*t^8.63 - t^8.8 - 3*t^8.85 + 7*t^8.89 + t^8.28/y^2 - t^8.58/y^2 - (2*t^8.85)/y^2 - t^3.57/y - t^4.71/y - t^5.58/y - (2*t^5.85)/y - t^6.11/y - t^6.15/y - (2*t^6.42)/y - t^6.72/y - (2*t^6.99)/y - t^7.25/y + (2*t^7.29)/y + t^7.56/y + (2*t^7.82)/y + (2*t^7.86)/y + t^8.12/y - t^8.17/y - t^8.43/y - t^8.65/y - (3*t^8.69)/y - (2*t^8.74)/y - (2*t^8.96)/y - t^3.57*y - t^4.71*y - t^5.58*y - 2*t^5.85*y - t^6.11*y - t^6.15*y - 2*t^6.42*y - t^6.72*y - 2*t^6.99*y - t^7.25*y + 2*t^7.29*y + t^7.56*y + 2*t^7.82*y + 2*t^7.86*y + t^8.12*y - t^8.17*y - t^8.43*y - t^8.65*y - 3*t^8.69*y - 2*t^8.74*y - 2*t^8.96*y + t^8.28*y^2 - t^8.58*y^2 - 2*t^8.85*y^2 | g1^7*t^2.01 + (2*t^2.28)/g1^4 + t^2.54/g1^15 + g1^6*t^2.58 + (2*t^2.85)/g1^5 + g1^14*t^4.03 + 3*g1^3*t^4.29 + (4*t^4.56)/g1^8 + 2*g1^13*t^4.6 + (2*t^4.82)/g1^19 + 5*g1^2*t^4.86 + t^5.08/g1^30 + (5*t^5.12)/g1^9 + g1^12*t^5.17 + (2*t^5.39)/g1^20 + 2*g1*t^5.43 + (2*t^5.69)/g1^10 - 2*t^6. + g1^21*t^6.04 - t^6.26/g1^11 + 2*g1^10*t^6.31 + (5*t^6.57)/g1 + 2*g1^20*t^6.61 + (6*t^6.83)/g1^12 + 7*g1^9*t^6.88 + (4*t^7.1)/g1^23 + (12*t^7.14)/g1^2 + 2*g1^19*t^7.18 + (2*t^7.36)/g1^34 + (10*t^7.4)/g1^13 + 5*g1^8*t^7.44 + t^7.62/g1^45 + (5*t^7.67)/g1^24 + (7*t^7.71)/g1^3 + g1^18*t^7.75 + (2*t^7.93)/g1^35 + (6*t^7.97)/g1^14 - 2*g1^7*t^8.01 + g1^28*t^8.06 + (2*t^8.24)/g1^25 - (2*t^8.28)/g1^4 + g1^17*t^8.32 - (2*t^8.54)/g1^15 - 2*g1^6*t^8.58 + 2*g1^27*t^8.63 - t^8.8/g1^26 - (3*t^8.85)/g1^5 + 7*g1^16*t^8.89 + t^8.28/(g1^4*y^2) - (g1^6*t^8.58)/y^2 - (2*t^8.85)/(g1^5*y^2) - t^3.57/(g1*y) - t^4.71/(g1^3*y) - (g1^6*t^5.58)/y - (2*t^5.85)/(g1^5*y) - t^6.11/(g1^16*y) - (g1^5*t^6.15)/y - (2*t^6.42)/(g1^6*y) - (g1^4*t^6.72)/y - (2*t^6.99)/(g1^7*y) - t^7.25/(g1^18*y) + (2*g1^3*t^7.29)/y + t^7.56/(g1^8*y) + (2*t^7.82)/(g1^19*y) + (2*g1^2*t^7.86)/y + t^8.12/(g1^9*y) - (g1^12*t^8.17)/y - (g1*t^8.43)/y - t^8.65/(g1^31*y) - (3*t^8.69)/(g1^10*y) - (2*g1^11*t^8.74)/y - (2*t^8.96)/(g1^21*y) - (t^3.57*y)/g1 - (t^4.71*y)/g1^3 - g1^6*t^5.58*y - (2*t^5.85*y)/g1^5 - (t^6.11*y)/g1^16 - g1^5*t^6.15*y - (2*t^6.42*y)/g1^6 - g1^4*t^6.72*y - (2*t^6.99*y)/g1^7 - (t^7.25*y)/g1^18 + 2*g1^3*t^7.29*y + (t^7.56*y)/g1^8 + (2*t^7.82*y)/g1^19 + 2*g1^2*t^7.86*y + (t^8.12*y)/g1^9 - g1^12*t^8.17*y - g1*t^8.43*y - (t^8.65*y)/g1^31 - (3*t^8.69*y)/g1^10 - 2*g1^11*t^8.74*y - (2*t^8.96*y)/g1^21 + (t^8.28*y^2)/g1^4 - g1^6*t^8.58*y^2 - (2*t^8.85*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 9089 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{5}X_{2}$ + ${ }M_{4}X_{3}$ + ${ }\phi_{1}^{4}X_{4}$ | 0.8533 | 0.9247 | 0.9228 | [X:[1.7143, 1.8571, 1.4286, 1.4286], M:[1.2857, 0.7143, 0.7143, 0.5714, 0.1429, 1.0], q:[0.2857, 0.8571], qb:[], phi:[0.1429]] | 2*t^2.14 + t^3. + t^3.43 + 4*t^4.29 + 2*t^5.14 + 2*t^5.57 - t^6. - t^3.43/y - t^4.29/y - (2*t^5.57)/y - t^3.43*y - t^4.29*y - 2*t^5.57*y | detail | {a: 669/784, c: 725/784, X1: 12/7, X2: 13/7, X3: 10/7, X4: 10/7, M1: 9/7, M2: 5/7, M3: 5/7, M4: 4/7, M5: 1/7, M6: 1, q1: 2/7, q2: 6/7, phi1: 1/7} |
| 9082 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}^{3}q_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 1.1951 | 1.3626 | 0.877 | [X:[1.6231], M:[1.0579, 0.9421, 0.9421, 0.7537, 0.8264, 0.681, 1.1306], q:[0.3769, 0.4926], qb:[], phi:[0.1884]] | t^2.04 + 2*t^2.26 + t^2.48 + 2*t^2.83 + t^3.39 + t^4.09 + 3*t^4.3 + 4*t^4.52 + t^4.65 + 2*t^4.74 + 3*t^4.87 + t^4.96 + 4*t^5.09 + 2*t^5.31 + t^5.43 + 4*t^5.65 + t^5.87 - 2*t^6. - t^3.57/y - t^4.7/y - t^5.61/y - (2*t^5.83)/y - t^3.57*y - t^4.7*y - t^5.61*y - 2*t^5.83*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8900 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 1.1862 | 1.3413 | 0.8843 | [X:[1.6205], M:[1.0513, 0.9487, 0.9487, 0.759, 0.8462], q:[0.3795, 0.482], qb:[], phi:[0.1897]] | 2*t^2.28 + t^2.54 + t^2.58 + 2*t^2.85 + t^3.98 + t^4.29 + 3*t^4.55 + t^4.6 + 2*t^4.82 + 3*t^4.86 + t^5.08 + 5*t^5.12 + t^5.17 + 2*t^5.38 + 2*t^5.43 + 2*t^5.69 - 2*t^6. - t^3.57/y - t^4.71/y - (2*t^5.85)/y - t^3.57*y - t^4.71*y - 2*t^5.85*y | detail |