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 |
|---|---|---|---|---|---|---|---|---|---|
| 1586 | 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_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6494 | 0.833 | 0.7796 | [X:[], M:[1.2248, 1.1124, 0.7752, 0.8876, 0.7248, 1.1628, 0.6744], q:[0.75, 0.4128], qb:[0.3624, 0.4748], phi:[0.5]] | [X:[], M:[[2], [1], [-2], [-1], [2], [-3], [6]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ M_3$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ M_6$, $ q_1q_2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_7$, $ M_5^2$, $ M_3M_7$, $ \phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_3^2$, $ M_4M_7$, $ M_4M_5$, $ M_3M_4$, $ M_7\phi_1^2$, $ M_5\phi_1^2$, $ M_4^2$, $ M_3\phi_1^2$, $ M_7q_1\tilde{q}_1$, $ M_6M_7$, $ M_7q_1q_2$, $ M_5q_1\tilde{q}_1$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_5q_1q_2$, $ M_3q_1\tilde{q}_1$, $ M_1M_7$, $ M_7q_1\tilde{q}_2$, $ M_3M_6$, $ M_3q_1q_2$, $ M_1M_5$, $ M_5q_1\tilde{q}_2$ | $M_4q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$ | 0 | t^2.02 + t^2.17 + t^2.33 + t^2.66 + t^3. + t^3.34 + 2*t^3.49 + 2*t^3.67 + t^4.01 + t^4.05 + t^4.16 + t^4.2 + 3*t^4.35 + t^4.5 + t^4.65 + t^4.69 + t^4.84 + t^4.99 + t^5.02 + t^5.17 + 2*t^5.33 + t^5.36 + 3*t^5.51 + 3*t^5.66 + 2*t^5.7 + t^5.81 + t^5.85 + t^6.03 + t^6.07 + t^6.15 + t^6.19 + t^6.22 + 2*t^6.34 + 3*t^6.37 + t^6.49 + 3*t^6.52 + 4*t^6.67 + t^6.71 + 2*t^6.83 + t^6.86 + 3*t^6.98 + 4*t^7.01 + t^7.05 + 2*t^7.16 + t^7.2 - t^7.31 + 5*t^7.35 + t^7.38 + t^7.5 + 3*t^7.53 + t^7.65 + 5*t^7.69 + 2*t^7.72 + 4*t^7.84 + t^7.87 + t^7.99 + 3*t^8.02 + t^8.06 + t^8.09 + t^8.14 - t^8.17 + t^8.21 + t^8.24 + t^8.33 + 3*t^8.36 + 3*t^8.4 + 2*t^8.51 + 3*t^8.55 - t^8.66 + 7*t^8.7 + t^8.73 + t^8.81 + 3*t^8.85 + t^8.88 - t^4.5/y - t^6.52/y - t^6.67/y + t^7.01/y + t^7.2/y + t^7.35/y + t^7.5/y + t^7.69/y + t^7.84/y + t^8.02/y + t^8.17/y + (2*t^8.33)/y + t^8.36/y + t^8.48/y + (3*t^8.51)/y - t^8.55/y + (4*t^8.66)/y + t^8.7/y + (2*t^8.81)/y + t^8.85/y - t^4.5*y - t^6.52*y - t^6.67*y + t^7.01*y + t^7.2*y + t^7.35*y + t^7.5*y + t^7.69*y + t^7.84*y + t^8.02*y + t^8.17*y + 2*t^8.33*y + t^8.36*y + t^8.48*y + 3*t^8.51*y - t^8.55*y + 4*t^8.66*y + t^8.7*y + 2*t^8.81*y + t^8.85*y | g1^6*t^2.02 + g1^2*t^2.17 + t^2.33/g1^2 + t^2.66/g1 + t^3. + g1*t^3.34 + (2*t^3.49)/g1^3 + 2*g1^2*t^3.67 + g1^3*t^4.01 + g1^12*t^4.05 + t^4.16/g1 + g1^8*t^4.2 + 3*g1^4*t^4.35 + t^4.5 + t^4.65/g1^4 + g1^5*t^4.69 + g1*t^4.84 + t^4.99/g1^3 + g1^6*t^5.02 + g1^2*t^5.17 + (2*t^5.33)/g1^2 + g1^7*t^5.36 + 3*g1^3*t^5.51 + (3*t^5.66)/g1 + 2*g1^8*t^5.7 + t^5.81/g1^5 + g1^4*t^5.85 + g1^9*t^6.03 + g1^18*t^6.07 + t^6.15/g1^4 + g1^5*t^6.19 + g1^14*t^6.22 + 2*g1*t^6.34 + 3*g1^10*t^6.37 + t^6.49/g1^3 + 3*g1^6*t^6.52 + 4*g1^2*t^6.67 + g1^11*t^6.71 + (2*t^6.83)/g1^2 + g1^7*t^6.86 + (3*t^6.98)/g1^6 + 4*g1^3*t^7.01 + g1^12*t^7.05 + (2*t^7.16)/g1 + g1^8*t^7.2 - t^7.31/g1^5 + 5*g1^4*t^7.35 + g1^13*t^7.38 + t^7.5 + 3*g1^9*t^7.53 + t^7.65/g1^4 + 5*g1^5*t^7.69 + 2*g1^14*t^7.72 + 4*g1*t^7.84 + g1^10*t^7.87 + t^7.99/g1^3 + 3*g1^6*t^8.02 + g1^15*t^8.06 + g1^24*t^8.09 + t^8.14/g1^7 - g1^2*t^8.17 + g1^11*t^8.21 + g1^20*t^8.24 + t^8.33/g1^2 + 3*g1^7*t^8.36 + 3*g1^16*t^8.4 + 2*g1^3*t^8.51 + 3*g1^12*t^8.55 - t^8.66/g1 + 7*g1^8*t^8.7 + g1^17*t^8.73 + t^8.81/g1^5 + 3*g1^4*t^8.85 + g1^13*t^8.88 - t^4.5/y - (g1^6*t^6.52)/y - (g1^2*t^6.67)/y + (g1^3*t^7.01)/y + (g1^8*t^7.2)/y + (g1^4*t^7.35)/y + t^7.5/y + (g1^5*t^7.69)/y + (g1*t^7.84)/y + (g1^6*t^8.02)/y + (g1^2*t^8.17)/y + (2*t^8.33)/(g1^2*y) + (g1^7*t^8.36)/y + t^8.48/(g1^6*y) + (3*g1^3*t^8.51)/y - (g1^12*t^8.55)/y + (4*t^8.66)/(g1*y) + (g1^8*t^8.7)/y + (2*t^8.81)/(g1^5*y) + (g1^4*t^8.85)/y - t^4.5*y - g1^6*t^6.52*y - g1^2*t^6.67*y + g1^3*t^7.01*y + g1^8*t^7.2*y + g1^4*t^7.35*y + t^7.5*y + g1^5*t^7.69*y + g1*t^7.84*y + g1^6*t^8.02*y + g1^2*t^8.17*y + (2*t^8.33*y)/g1^2 + g1^7*t^8.36*y + (t^8.48*y)/g1^6 + 3*g1^3*t^8.51*y - g1^12*t^8.55*y + (4*t^8.66*y)/g1 + g1^8*t^8.7*y + (2*t^8.81*y)/g1^5 + g1^4*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 3972 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_7q_1\tilde{q}_1$ | 0.6292 | 0.8033 | 0.7833 | [X:[], M:[1.2857, 1.1429, 0.7143, 0.8571, 0.7857, 1.0714, 0.8571], q:[0.75, 0.3214], qb:[0.3929, 0.5357], phi:[0.5]] | t^2.14 + t^2.36 + 2*t^2.57 + t^3. + 2*t^3.21 + t^3.43 + 2*t^3.86 + t^4.07 + 2*t^4.29 + t^4.5 + 4*t^4.71 + 2*t^4.93 + 4*t^5.14 + 2*t^5.36 + 4*t^5.57 + 4*t^5.79 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 7893/12544, c: 10077/12544, M1: 9/7, M2: 8/7, M3: 5/7, M4: 6/7, M5: 11/14, M6: 15/14, M7: 6/7, q1: 3/4, q2: 9/28, qb1: 11/28, qb2: 15/28, phi1: 1/2} |
| 3973 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_1$ | 0.6596 | 0.8498 | 0.7762 | [X:[], M:[1.2284, 1.1142, 0.7716, 0.8858, 0.7284, 1.1574, 0.6852, 0.8858], q:[0.75, 0.4074], qb:[0.3642, 0.4784], phi:[0.5]] | t^2.06 + t^2.19 + t^2.31 + 2*t^2.66 + t^3. + 2*t^3.47 + 2*t^3.69 + t^4.03 + t^4.11 + t^4.16 + t^4.24 + 3*t^4.37 + t^4.5 + t^4.63 + 2*t^4.71 + 2*t^4.84 + 2*t^4.97 + t^5.06 + t^5.19 + 4*t^5.31 + 2*t^5.53 + 3*t^5.66 + 2*t^5.74 + t^5.79 + t^5.87 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1016 | 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_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6286 | 0.7919 | 0.7937 | [X:[], M:[1.2268, 1.1134, 0.7732, 0.8866, 0.7268, 1.1599], q:[0.75, 0.4099], qb:[0.3634, 0.4768], phi:[0.5]] | t^2.18 + t^2.32 + t^2.66 + t^3. + t^3.34 + 2*t^3.48 + 2*t^3.68 + t^3.96 + t^4.02 + t^4.16 + 2*t^4.36 + t^4.5 + t^4.64 + t^4.84 + t^4.98 + t^5.18 + 2*t^5.32 + t^5.52 + 3*t^5.66 + t^5.8 + t^5.86 - t^4.5/y - t^4.5*y | detail |