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 |
|---|---|---|---|---|---|---|---|---|---|
| 8885 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_4$ + $ M_5\phi_1^2q_1q_2$ | 1.1314 | 1.2795 | 0.8842 | [X:[1.5924], M:[1.2228, 1.1848, 0.8531, 0.8152, 0.8152], q:[0.3057, 0.4716], qb:[], phi:[0.2038]] | [X:[[4]], M:[[-12], [8], [-28], [-8], [-8]], q:[[-3], [15]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ \phi_1^4$, $ M_3$, $ \phi_1q_1q_2$, $ M_1$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^4$, $ M_5\phi_1^4$, $ \phi_1^8$, $ M_3M_4$, $ M_3M_5$, $ M_3\phi_1^4$, $ M_3^2$, $ M_4\phi_1q_1q_2$, $ M_5\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | . | -2 | 3*t^2.45 + t^2.56 + t^2.94 + 2*t^3.67 + t^4.17 + t^4.66 + t^4.78 + 6*t^4.89 + 3*t^5. + t^5.12 + 3*t^5.39 + t^5.89 - 2*t^6. + 5*t^6.11 + 2*t^6.23 - t^6.5 + 4*t^6.61 + 2*t^7.11 + 2*t^7.22 + 13*t^7.34 + 6*t^7.45 + 3*t^7.56 + t^7.61 + t^7.68 - t^7.72 + 7*t^7.83 - t^8.22 + 3*t^8.33 - 4*t^8.45 + 7*t^8.56 + 5*t^8.67 + 2*t^8.79 + 2*t^8.83 - 5*t^8.94 + t^8.45/y^2 - t^3.61/y - t^4.83/y - (3*t^6.06)/y - t^6.17/y - t^6.55/y + t^7.17/y - (4*t^7.28)/y - t^7.39/y - t^7.78/y + (3*t^7.89)/y + (3*t^8.)/y + (4*t^8.39)/y - (6*t^8.5)/y - (3*t^8.62)/y - t^8.73/y - t^3.61*y - t^4.83*y - 3*t^6.06*y - t^6.17*y - t^6.55*y + t^7.17*y - 4*t^7.28*y - t^7.39*y - t^7.78*y + 3*t^7.89*y + 3*t^8.*y + 4*t^8.39*y - 6*t^8.5*y - 3*t^8.62*y - t^8.73*y + t^8.45*y^2 | (3*t^2.45)/g1^8 + t^2.56/g1^28 + g1^10*t^2.94 + (2*t^3.67)/g1^12 + g1^6*t^4.17 + g1^24*t^4.66 + g1^4*t^4.78 + (6*t^4.89)/g1^16 + (3*t^5.)/g1^36 + t^5.12/g1^56 + 3*g1^2*t^5.39 + g1^20*t^5.89 - 2*t^6. + (5*t^6.11)/g1^20 + (2*t^6.23)/g1^40 - g1^18*t^6.5 + (4*t^6.61)/g1^2 + 2*g1^16*t^7.11 + (2*t^7.22)/g1^4 + (13*t^7.34)/g1^24 + (6*t^7.45)/g1^44 + (3*t^7.56)/g1^64 + g1^34*t^7.61 + t^7.68/g1^84 - g1^14*t^7.72 + (7*t^7.83)/g1^6 - g1^32*t^8.22 + 3*g1^12*t^8.33 - (4*t^8.45)/g1^8 + (7*t^8.56)/g1^28 + (5*t^8.67)/g1^48 + (2*t^8.79)/g1^68 + 2*g1^30*t^8.83 - 5*g1^10*t^8.94 + t^8.45/(g1^8*y^2) - t^3.61/(g1^2*y) - t^4.83/(g1^6*y) - (3*t^6.06)/(g1^10*y) - t^6.17/(g1^30*y) - (g1^8*t^6.55)/y + (g1^6*t^7.17)/y - (4*t^7.28)/(g1^14*y) - t^7.39/(g1^34*y) - (g1^4*t^7.78)/y + (3*t^7.89)/(g1^16*y) + (3*t^8.)/(g1^36*y) + (4*g1^2*t^8.39)/y - (6*t^8.5)/(g1^18*y) - (3*t^8.62)/(g1^38*y) - t^8.73/(g1^58*y) - (t^3.61*y)/g1^2 - (t^4.83*y)/g1^6 - (3*t^6.06*y)/g1^10 - (t^6.17*y)/g1^30 - g1^8*t^6.55*y + g1^6*t^7.17*y - (4*t^7.28*y)/g1^14 - (t^7.39*y)/g1^34 - g1^4*t^7.78*y + (3*t^7.89*y)/g1^16 + (3*t^8.*y)/g1^36 + 4*g1^2*t^8.39*y - (6*t^8.5*y)/g1^18 - (3*t^8.62*y)/g1^38 - (t^8.73*y)/g1^58 + (t^8.45*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 |
|---|---|---|---|---|---|---|---|---|
| 8989 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_4$ + $ M_5\phi_1^2q_1q_2$ + $ M_3^2$ | 1.1175 | 1.2603 | 0.8867 | [X:[1.5714], M:[1.2857, 1.1429, 1.0, 0.8571, 0.8571], q:[0.3214, 0.3929], qb:[], phi:[0.2143]] | 3*t^2.57 + t^2.79 + t^3. + 2*t^3.86 + t^4.07 + t^4.29 + t^4.71 + 6*t^5.14 + 3*t^5.36 + 4*t^5.57 - t^6. - t^3.64/y - t^4.93/y - t^3.64*y - t^4.93*y | detail | {a: 24531/21952, c: 27667/21952, X1: 11/7, M1: 9/7, M2: 8/7, M3: 1, M4: 6/7, M5: 6/7, q1: 9/28, q2: 11/28, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 8767 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_4$ | 1.116 | 1.2523 | 0.8912 | [X:[1.5904], M:[1.2289, 1.1807, 0.8674, 0.8193], q:[0.3072, 0.4639], qb:[], phi:[0.2048]] | 2*t^2.46 + t^2.6 + t^2.93 + t^3.54 + 2*t^3.69 + t^4.16 + t^4.63 + t^4.77 + 3*t^4.92 + 2*t^5.06 + t^5.2 + 2*t^5.39 + t^5.86 - t^3.61/y - t^4.84/y - t^3.61*y - t^4.84*y | detail |