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 |
|---|---|---|---|---|---|---|---|---|---|
| 8953 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 1.13 | 1.2784 | 0.8839 | [X:[1.596], M:[0.8281, 1.192, 0.808, 0.808, 1.01, 1.2121], q:[0.4849, 0.303], qb:[], phi:[0.202]] | [X:[[4]], M:[[-28], [8], [-8], [-8], [-10], [-12]], q:[[15], [-3]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{4}$, ${ }\phi_{1}^{8}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{1}\phi_{1}^{4}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{4}$, ${ }M_{1}M_{5}$ | ${}$ | -2 | 3*t^2.42 + t^2.48 + t^3.03 + 2*t^3.64 + t^4.18 + t^4.73 + t^4.79 + 6*t^4.85 + 3*t^4.91 + t^4.97 + 2*t^5.45 + t^5.51 - 2*t^6. + 6*t^6.06 + 2*t^6.12 - t^6.55 + 2*t^6.61 + 2*t^6.67 + t^7.15 + 3*t^7.21 + 13*t^7.27 + 6*t^7.33 + 3*t^7.39 + t^7.45 - t^7.76 + 2*t^7.82 + 3*t^7.88 + 2*t^7.94 + t^8. - t^8.3 - 4*t^8.42 + 9*t^8.48 + 6*t^8.54 + 2*t^8.6 + t^8.91 - 3*t^8.97 + t^8.42/y^2 - t^3.61/y - t^4.82/y - (3*t^6.03)/y - t^6.09/y - t^6.64/y + t^7.18/y - (4*t^7.24)/y - t^7.3/y + (2*t^7.85)/y + (3*t^7.91)/y + t^8.39/y - (4*t^8.45)/y - (2*t^8.51)/y - t^8.57/y - t^3.61*y - t^4.82*y - 3*t^6.03*y - t^6.09*y - t^6.64*y + t^7.18*y - 4*t^7.24*y - t^7.3*y + 2*t^7.85*y + 3*t^7.91*y + t^8.39*y - 4*t^8.45*y - 2*t^8.51*y - t^8.57*y + t^8.42*y^2 | (3*t^2.42)/g1^8 + t^2.48/g1^28 + t^3.03/g1^10 + (2*t^3.64)/g1^12 + g1^6*t^4.18 + g1^24*t^4.73 + g1^4*t^4.79 + (6*t^4.85)/g1^16 + (3*t^4.91)/g1^36 + t^4.97/g1^56 + (2*t^5.45)/g1^18 + t^5.51/g1^38 - 2*t^6. + (6*t^6.06)/g1^20 + (2*t^6.12)/g1^40 - g1^18*t^6.55 + (2*t^6.61)/g1^2 + (2*t^6.67)/g1^22 + g1^16*t^7.15 + (3*t^7.21)/g1^4 + (13*t^7.27)/g1^24 + (6*t^7.33)/g1^44 + (3*t^7.39)/g1^64 + t^7.45/g1^84 - g1^14*t^7.76 + (2*t^7.82)/g1^6 + (3*t^7.88)/g1^26 + (2*t^7.94)/g1^46 + t^8./g1^66 - g1^32*t^8.3 - (4*t^8.42)/g1^8 + (9*t^8.48)/g1^28 + (6*t^8.54)/g1^48 + (2*t^8.6)/g1^68 + g1^30*t^8.91 - 3*g1^10*t^8.97 + t^8.42/(g1^8*y^2) - t^3.61/(g1^2*y) - t^4.82/(g1^6*y) - (3*t^6.03)/(g1^10*y) - t^6.09/(g1^30*y) - t^6.64/(g1^12*y) + (g1^6*t^7.18)/y - (4*t^7.24)/(g1^14*y) - t^7.3/(g1^34*y) + (2*t^7.85)/(g1^16*y) + (3*t^7.91)/(g1^36*y) + (g1^2*t^8.39)/y - (4*t^8.45)/(g1^18*y) - (2*t^8.51)/(g1^38*y) - t^8.57/(g1^58*y) - (t^3.61*y)/g1^2 - (t^4.82*y)/g1^6 - (3*t^6.03*y)/g1^10 - (t^6.09*y)/g1^30 - (t^6.64*y)/g1^12 + g1^6*t^7.18*y - (4*t^7.24*y)/g1^14 - (t^7.3*y)/g1^34 + (2*t^7.85*y)/g1^16 + (3*t^7.91*y)/g1^36 + g1^2*t^8.39*y - (4*t^8.45*y)/g1^18 - (2*t^8.51*y)/g1^38 - (t^8.57*y)/g1^58 + (t^8.42*y^2)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 9068 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}^{2}$ | 1.1109 | 1.2493 | 0.8892 | [X:[1.5714], M:[1.0, 1.1429, 0.8571, 0.8571, 1.0714, 1.2857], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | 3*t^2.57 + t^3. + t^3.21 + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + 6*t^5.14 + 3*t^5.57 + 2*t^5.79 - t^6. - t^3.64/y - t^4.93/y - t^3.64*y - t^4.93*y | detail | {a: 13935/12544, c: 15671/12544, X1: 11/7, M1: 1, M2: 8/7, M3: 6/7, M4: 6/7, M5: 15/14, M6: 9/7, q1: 11/28, q2: 9/28, phi1: 3/14} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8911 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 1.1474 | 1.3085 | 0.8769 | [X:[1.5936], M:[0.8451, 1.1871, 0.8129, 0.8129, 1.0161], q:[0.4758, 0.3048], qb:[], phi:[0.2032]] | t^2.34 + 3*t^2.44 + t^2.54 + t^3.05 + t^3.66 + t^4.17 + 2*t^4.68 + 4*t^4.78 + 7*t^4.88 + 3*t^4.97 + t^5.07 + t^5.39 + 2*t^5.49 + t^5.58 - t^6. - t^3.61/y - t^4.83/y - t^5.95/y - t^3.61*y - t^4.83*y - t^5.95*y | detail |