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 |
|---|---|---|---|---|---|---|---|---|---|
| 3273 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_6$ | 0.6581 | 0.8456 | 0.7783 | [X:[], M:[1.1466, 1.1178, 0.7644, 0.7068, 0.8822, 0.8822], q:[0.75, 0.4856], qb:[0.3678, 0.3966], phi:[0.5]] | [X:[], M:[[3], [-1], [2], [-6], [1], [1]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_2^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_5$, $ M_4M_6$, $ M_3M_5$, $ M_3M_6$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_4q_1q_2$ | . | -1 | t^2.12 + 2*t^2.29 + 2*t^2.65 + t^3. + 2*t^3.44 + t^3.71 + t^3.79 + t^4.06 + t^4.15 + t^4.24 + 3*t^4.41 + 3*t^4.59 + 2*t^4.77 + 4*t^4.94 + t^5.12 + 5*t^5.29 + 2*t^5.56 + t^5.65 + 3*t^5.73 + t^5.83 - t^6. + 5*t^6.09 + t^6.18 + t^6.35 + t^6.36 + 4*t^6.44 + 3*t^6.53 + 5*t^6.71 + t^6.79 + 6*t^6.88 + 2*t^6.89 + 5*t^7.06 - t^7.15 + 6*t^7.23 + t^7.24 + 4*t^7.41 - t^7.5 + 9*t^7.59 + 2*t^7.68 + 3*t^7.85 + 5*t^7.94 + t^7.95 + 4*t^8.03 + 3*t^8.21 - 2*t^8.29 + t^8.3 + 7*t^8.38 + 2*t^8.47 + t^8.48 + t^8.56 - 3*t^8.65 + 10*t^8.73 + 6*t^8.83 - 2*t^8.91 - t^4.5/y - t^6.62/y - t^6.79/y + t^7.06/y - t^7.15/y + (2*t^7.41)/y + t^7.59/y + (2*t^7.77)/y + t^7.85/y + (3*t^7.94)/y + t^8.12/y + t^8.21/y + (3*t^8.29)/y + t^8.38/y + (2*t^8.56)/y + (2*t^8.65)/y + (4*t^8.73)/y - t^8.74/y + t^8.83/y - t^4.5*y - t^6.62*y - t^6.79*y + t^7.06*y - t^7.15*y + 2*t^7.41*y + t^7.59*y + 2*t^7.77*y + t^7.85*y + 3*t^7.94*y + t^8.12*y + t^8.21*y + 3*t^8.29*y + t^8.38*y + 2*t^8.56*y + 2*t^8.65*y + 4*t^8.73*y - t^8.74*y + t^8.83*y | t^2.12/g1^6 + 2*g1^2*t^2.29 + 2*g1*t^2.65 + t^3. + 2*g1^3*t^3.44 + t^3.71/g1^2 + g1^2*t^3.79 + t^4.06/g1^3 + g1*t^4.15 + t^4.24/g1^12 + (3*t^4.41)/g1^4 + 3*g1^4*t^4.59 + (2*t^4.77)/g1^5 + 4*g1^3*t^4.94 + t^5.12/g1^6 + 5*g1^2*t^5.29 + (2*t^5.56)/g1^3 + g1*t^5.65 + 3*g1^5*t^5.73 + t^5.83/g1^8 - t^6. + 5*g1^4*t^6.09 + t^6.18/g1^9 + t^6.35/g1 + t^6.36/g1^18 + 4*g1^3*t^6.44 + (3*t^6.53)/g1^10 + (5*t^6.71)/g1^2 + g1^2*t^6.79 + 6*g1^6*t^6.88 + (2*t^6.89)/g1^11 + (5*t^7.06)/g1^3 - g1*t^7.15 + 6*g1^5*t^7.23 + t^7.24/g1^12 + (4*t^7.41)/g1^4 - t^7.5 + 9*g1^4*t^7.59 + (2*t^7.68)/g1^9 + (3*t^7.85)/g1 + 5*g1^3*t^7.94 + t^7.95/g1^14 + 4*g1^7*t^8.03 + (3*t^8.21)/g1^2 - 2*g1^2*t^8.29 + t^8.3/g1^15 + 7*g1^6*t^8.38 + (2*t^8.47)/g1^7 + t^8.48/g1^24 + t^8.56/g1^3 + (3*t^8.65)/g1^16 - 6*g1*t^8.65 + 10*g1^5*t^8.73 + (6*t^8.83)/g1^8 - (2*t^8.91)/g1^4 - t^4.5/y - t^6.62/(g1^6*y) - (g1^2*t^6.79)/y + t^7.06/(g1^3*y) - (g1*t^7.15)/y + (2*t^7.41)/(g1^4*y) + (g1^4*t^7.59)/y + (2*t^7.77)/(g1^5*y) + t^7.85/(g1*y) + (3*g1^3*t^7.94)/y + t^8.12/(g1^6*y) + t^8.21/(g1^2*y) + (3*g1^2*t^8.29)/y + (g1^6*t^8.38)/y + (2*t^8.56)/(g1^3*y) + (2*g1*t^8.65)/y + (4*g1^5*t^8.73)/y - t^8.74/(g1^12*y) + t^8.83/(g1^8*y) - t^4.5*y - (t^6.62*y)/g1^6 - g1^2*t^6.79*y + (t^7.06*y)/g1^3 - g1*t^7.15*y + (2*t^7.41*y)/g1^4 + g1^4*t^7.59*y + (2*t^7.77*y)/g1^5 + (t^7.85*y)/g1 + 3*g1^3*t^7.94*y + (t^8.12*y)/g1^6 + (t^8.21*y)/g1^2 + 3*g1^2*t^8.29*y + g1^6*t^8.38*y + (2*t^8.56*y)/g1^3 + 2*g1*t^8.65*y + 4*g1^5*t^8.73*y - (t^8.74*y)/g1^12 + (t^8.83*y)/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 |
|---|---|---|---|---|---|---|---|---|
| 3709 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_6$ + $ M_1M_3$ + $ M_4X_1$ | 0.6313 | 0.7938 | 0.7953 | [X:[1.4], M:[1.2, 1.1, 0.8, 0.6, 0.9, 0.9], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 2*t^2.4 + 2*t^2.7 + t^3. + 3*t^3.6 + 2*t^3.9 + 3*t^4.2 + 3*t^4.8 + 4*t^5.1 + 5*t^5.4 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 10101/16000, c: 12701/16000, X1: 7/5, M1: 6/5, M2: 11/10, M3: 4/5, M4: 3/5, M5: 9/10, M6: 9/10, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 3704 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_6$ + $ M_1M_7$ | 0.6715 | 0.8691 | 0.7727 | [X:[], M:[1.1609, 1.113, 0.7739, 0.6782, 0.887, 0.887, 0.8391], q:[0.75, 0.4761], qb:[0.363, 0.4109], phi:[0.5]] | t^2.03 + 2*t^2.32 + t^2.52 + 2*t^2.66 + t^3. + t^3.48 + t^3.68 + t^3.82 + t^4.02 + t^4.07 + t^4.16 + 3*t^4.36 + t^4.55 + 3*t^4.64 + 2*t^4.7 + 2*t^4.84 + 4*t^4.98 + 2*t^5.03 + 2*t^5.18 + 5*t^5.32 + 2*t^5.52 + t^5.66 + t^5.71 + t^5.8 - t^4.5/y - t^4.5*y | detail | |
| 3706 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ + $ M_2M_6$ + $ M_7q_1q_2$ | 0.6766 | 0.8791 | 0.7697 | [X:[], M:[1.1405, 1.1198, 0.7603, 0.719, 0.8802, 0.8802, 0.7603], q:[0.75, 0.4897], qb:[0.3698, 0.3905], phi:[0.5]] | t^2.16 + 3*t^2.28 + 2*t^2.64 + t^3. + 2*t^3.42 + t^3.78 + t^4.08 + t^4.14 + t^4.31 + 4*t^4.44 + 6*t^4.56 + 2*t^4.8 + 6*t^4.92 + t^5.16 + 6*t^5.28 + 2*t^5.58 + t^5.64 + 5*t^5.7 - 3*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2757 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3q_1q_2$ + $ M_5q_1\tilde{q}_1$ | 0.6476 | 0.8279 | 0.7823 | [X:[], M:[1.1521, 1.116, 0.7681, 0.6958, 0.884], q:[0.75, 0.4819], qb:[0.366, 0.4021], phi:[0.5]] | t^2.09 + 2*t^2.3 + t^2.65 + t^3. + t^3.35 + 2*t^3.46 + t^3.7 + t^3.8 + t^4.04 + t^4.15 + t^4.17 + 3*t^4.39 + 3*t^4.61 + t^4.74 + 2*t^4.96 + t^5.09 + 3*t^5.3 + t^5.44 + 2*t^5.54 + 2*t^5.65 + 3*t^5.76 + t^5.78 - t^4.5/y - t^4.5*y | detail |