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 |
|---|---|---|---|---|---|---|---|---|---|
| 1399 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_3^2$ + $ M_6q_1\tilde{q}_2$ | 0.7378 | 0.9171 | 0.8045 | [X:[], M:[1.0, 0.7895, 1.0, 0.7895, 1.0, 0.7895], q:[0.5, 0.5], qb:[0.5, 0.7105], phi:[0.4474]] | [X:[], M:[[0], [-4], [0], [-4], [0], [-4]], q:[[0], [0]], qb:[[0], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_5$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2M_6$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ M_2M_5$, $ M_4M_5$, $ M_1M_6$, $ M_3M_6$, $ M_5M_6$, $ \phi_1^4$, $ \phi_1\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$ | $M_1M_3$, $ M_1M_5$, $ M_3M_5$ | -4 | 3*t^2.37 + t^2.68 + 3*t^3. + 6*t^4.34 + 6*t^4.74 + 3*t^4.97 + 3*t^5.05 + 7*t^5.37 + t^5.61 + 3*t^5.68 - 4*t^6. - 4*t^6.63 + 15*t^6.71 + 6*t^7.03 + 10*t^7.11 + 15*t^7.34 + 6*t^7.42 - 3*t^7.66 + 13*t^7.74 + 7*t^8.05 - 2*t^8.29 - 14*t^8.37 + 11*t^8.68 - t^8.92 - t^4.34/y - (3*t^6.71)/y - t^7.03/y + t^7.66/y + (3*t^7.74)/y + (3*t^7.97)/y + (3*t^8.05)/y + (9*t^8.37)/y + (3*t^8.68)/y - t^4.34*y - 3*t^6.71*y - t^7.03*y + t^7.66*y + 3*t^7.74*y + 3*t^7.97*y + 3*t^8.05*y + 9*t^8.37*y + 3*t^8.68*y | (3*t^2.37)/g1^4 + t^2.68/g1^2 + 3*t^3. + (6*t^4.34)/g1 + (6*t^4.74)/g1^8 + 3*g1^3*t^4.97 + (3*t^5.05)/g1^6 + (7*t^5.37)/g1^4 + g1^7*t^5.61 + (3*t^5.68)/g1^2 - 4*t^6. - 4*g1^4*t^6.63 + (15*t^6.71)/g1^5 + (6*t^7.03)/g1^3 + (10*t^7.11)/g1^12 + (15*t^7.34)/g1 + (6*t^7.42)/g1^10 - 3*g1*t^7.66 + (13*t^7.74)/g1^8 + (7*t^8.05)/g1^6 - 2*g1^5*t^8.29 - (14*t^8.37)/g1^4 + (11*t^8.68)/g1^2 - g1^9*t^8.92 - t^4.34/(g1*y) - (3*t^6.71)/(g1^5*y) - t^7.03/(g1^3*y) + (g1*t^7.66)/y + (3*t^7.74)/(g1^8*y) + (3*g1^3*t^7.97)/y + (3*t^8.05)/(g1^6*y) + (9*t^8.37)/(g1^4*y) + (3*t^8.68)/(g1^2*y) - (t^4.34*y)/g1 - (3*t^6.71*y)/g1^5 - (t^7.03*y)/g1^3 + g1*t^7.66*y + (3*t^7.74*y)/g1^8 + 3*g1^3*t^7.97*y + (3*t^8.05*y)/g1^6 + (9*t^8.37*y)/g1^4 + (3*t^8.68*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2480 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_3^2$ + $ M_6q_1\tilde{q}_2$ + $ \phi_1\tilde{q}_2^2$ | 0.7314 | 0.9189 | 0.796 | [X:[], M:[1.0, 0.7143, 1.0, 0.7143, 1.0, 0.7143], q:[0.5, 0.5], qb:[0.5, 0.7857], phi:[0.4286]] | 3*t^2.14 + t^2.57 + 3*t^3. + 12*t^4.29 + 3*t^4.71 + 10*t^5.14 + 3*t^5.57 - 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 2007/2744, c: 5043/5488, M1: 1, M2: 5/7, M3: 1, M4: 5/7, M5: 1, M6: 5/7, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 11/14, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 915 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1^2$ + $ M_3^2$ | 0.7215 | 0.8862 | 0.8142 | [X:[], M:[1.0, 0.8197, 1.0, 0.8197, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6803], phi:[0.4549]] | 2*t^2.46 + t^2.73 + 3*t^3. + t^3.54 + 6*t^4.36 + 3*t^4.91 + 3*t^4.92 + 2*t^5.19 + t^5.45 + 4*t^5.46 + 3*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail |