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 |
|---|---|---|---|---|---|---|---|---|---|
| 55207 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6992 | 0.9211 | 0.7591 | [X:[], M:[1.1122, 0.7756, 0.7756, 0.8878, 0.7244, 0.6733], q:[0.75, 0.4744], qb:[0.3622, 0.4134], phi:[0.5]] | [X:[], M:[[-1], [2], [2], [1], [-2], [-6]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ M_5^2$, $ M_2M_6$, $ M_3M_6$, $ \phi_1q_2^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_3M_5$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_4M_6$, $ M_5q_2\tilde{q}_1$, $ M_4M_5$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2M_4$, $ M_3M_4$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_5\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_4^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_6$, $ M_1M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ M_1M_2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_5q_1\tilde{q}_2$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | $M_1M_4$ | -1 | t^2.02 + t^2.17 + 3*t^2.33 + t^2.51 + t^2.66 + t^3. + t^3.34 + t^3.49 + t^4.01 + t^4.04 + t^4.16 + t^4.19 + 5*t^4.35 + 3*t^4.5 + t^4.53 + 6*t^4.65 + 2*t^4.68 + 4*t^4.84 + 3*t^4.99 + 2*t^5.02 + 2*t^5.17 + 4*t^5.33 + t^5.36 + 3*t^5.51 + 4*t^5.66 + 2*t^5.82 - t^6. + t^6.03 + t^6.06 + t^6.18 + t^6.21 + 2*t^6.34 + 5*t^6.37 + 2*t^6.49 + 6*t^6.52 + t^6.55 + 12*t^6.67 + 2*t^6.7 + 6*t^6.83 + 6*t^6.86 + 10*t^6.98 + 7*t^7.01 + 2*t^7.04 + 6*t^7.16 + 3*t^7.19 + 4*t^7.32 + 8*t^7.35 + t^7.38 + 5*t^7.5 + 4*t^7.53 + 7*t^7.65 + 6*t^7.68 + 7*t^7.84 + 7*t^7.99 + t^8.05 + t^8.08 + 3*t^8.14 - 2*t^8.17 + t^8.2 + t^8.23 - 4*t^8.33 + 3*t^8.36 + 5*t^8.39 - t^8.48 + 6*t^8.54 + t^8.57 - t^8.66 + 15*t^8.69 + 2*t^8.72 + 2*t^8.82 + 11*t^8.85 + 6*t^8.88 - t^4.5/y - t^6.52/y - t^6.67/y - (2*t^6.83)/y + t^7.19/y + (3*t^7.35)/y + (3*t^7.5)/y + t^7.53/y + (3*t^7.65)/y + (2*t^7.68)/y + (4*t^7.84)/y + (3*t^7.99)/y + t^8.02/y + (4*t^8.17)/y + (4*t^8.33)/y + t^8.36/y + t^8.48/y + (3*t^8.51)/y - t^8.54/y + (5*t^8.66)/y - t^8.69/y + (3*t^8.82)/y - (2*t^8.85)/y - t^4.5*y - t^6.52*y - t^6.67*y - 2*t^6.83*y + t^7.19*y + 3*t^7.35*y + 3*t^7.5*y + t^7.53*y + 3*t^7.65*y + 2*t^7.68*y + 4*t^7.84*y + 3*t^7.99*y + t^8.02*y + 4*t^8.17*y + 4*t^8.33*y + t^8.36*y + t^8.48*y + 3*t^8.51*y - t^8.54*y + 5*t^8.66*y - t^8.69*y + 3*t^8.82*y - 2*t^8.85*y | t^2.02/g1^6 + t^2.17/g1^2 + 3*g1^2*t^2.33 + t^2.51/g1^3 + g1*t^2.66 + t^3. + t^3.34/g1 + g1^3*t^3.49 + t^4.01/g1^3 + t^4.04/g1^12 + g1*t^4.16 + t^4.19/g1^8 + (5*t^4.35)/g1^4 + 3*t^4.5 + t^4.53/g1^9 + 6*g1^4*t^4.65 + (2*t^4.68)/g1^5 + (4*t^4.84)/g1 + 3*g1^3*t^4.99 + (2*t^5.02)/g1^6 + (2*t^5.17)/g1^2 + 4*g1^2*t^5.33 + t^5.36/g1^7 + (3*t^5.51)/g1^3 + 4*g1*t^5.66 + 2*g1^5*t^5.82 - t^6. + t^6.03/g1^9 + t^6.06/g1^18 + t^6.18/g1^5 + t^6.21/g1^14 + (2*t^6.34)/g1 + (5*t^6.37)/g1^10 + 2*g1^3*t^6.49 + (6*t^6.52)/g1^6 + t^6.55/g1^15 + (12*t^6.67)/g1^2 + (2*t^6.7)/g1^11 + 6*g1^2*t^6.83 + (6*t^6.86)/g1^7 + 10*g1^6*t^6.98 + (7*t^7.01)/g1^3 + (2*t^7.04)/g1^12 + 6*g1*t^7.16 + (3*t^7.19)/g1^8 + 4*g1^5*t^7.32 + (8*t^7.35)/g1^4 + t^7.38/g1^13 + 5*t^7.5 + (4*t^7.53)/g1^9 + 7*g1^4*t^7.65 + (6*t^7.68)/g1^5 + (7*t^7.84)/g1 + 7*g1^3*t^7.99 + t^8.05/g1^15 + t^8.08/g1^24 + 3*g1^7*t^8.14 - (2*t^8.17)/g1^2 + t^8.2/g1^11 + t^8.23/g1^20 - 4*g1^2*t^8.33 + (3*t^8.36)/g1^7 + (5*t^8.39)/g1^16 - g1^6*t^8.48 + (6*t^8.54)/g1^12 + t^8.57/g1^21 - g1*t^8.66 + (15*t^8.69)/g1^8 + (2*t^8.72)/g1^17 + 2*g1^5*t^8.82 + (11*t^8.85)/g1^4 + (6*t^8.88)/g1^13 - t^4.5/y - t^6.52/(g1^6*y) - t^6.67/(g1^2*y) - (2*g1^2*t^6.83)/y + t^7.19/(g1^8*y) + (3*t^7.35)/(g1^4*y) + (3*t^7.5)/y + t^7.53/(g1^9*y) + (3*g1^4*t^7.65)/y + (2*t^7.68)/(g1^5*y) + (4*t^7.84)/(g1*y) + (3*g1^3*t^7.99)/y + t^8.02/(g1^6*y) + (4*t^8.17)/(g1^2*y) + (4*g1^2*t^8.33)/y + t^8.36/(g1^7*y) + (g1^6*t^8.48)/y + (3*t^8.51)/(g1^3*y) - t^8.54/(g1^12*y) + (5*g1*t^8.66)/y - t^8.69/(g1^8*y) + (3*g1^5*t^8.82)/y - (2*t^8.85)/(g1^4*y) - t^4.5*y - (t^6.52*y)/g1^6 - (t^6.67*y)/g1^2 - 2*g1^2*t^6.83*y + (t^7.19*y)/g1^8 + (3*t^7.35*y)/g1^4 + 3*t^7.5*y + (t^7.53*y)/g1^9 + 3*g1^4*t^7.65*y + (2*t^7.68*y)/g1^5 + (4*t^7.84*y)/g1 + 3*g1^3*t^7.99*y + (t^8.02*y)/g1^6 + (4*t^8.17*y)/g1^2 + 4*g1^2*t^8.33*y + (t^8.36*y)/g1^7 + g1^6*t^8.48*y + (3*t^8.51*y)/g1^3 - (t^8.54*y)/g1^12 + 5*g1*t^8.66*y - (t^8.69*y)/g1^8 + 3*g1^5*t^8.82*y - (2*t^8.85*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56860 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_1M_6$ | 0.6763 | 0.8906 | 0.7594 | [X:[], M:[1.1429, 0.7143, 0.7143, 0.8571, 0.7857, 0.8571], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | 3*t^2.14 + t^2.36 + 2*t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.43 + t^4.07 + 7*t^4.29 + 3*t^4.5 + 8*t^4.71 + 5*t^4.93 + 7*t^5.14 + 5*t^5.36 + 6*t^5.57 + 3*t^5.79 - t^4.5/y - t^4.5*y | detail | {a: 29691/43904, c: 39099/43904, M1: 8/7, M2: 5/7, M3: 5/7, M4: 6/7, M5: 11/14, M6: 6/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47053 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^4$ + $ M_1q_2\tilde{q}_2$ + $ M_2\phi_1\tilde{q}_1^2$ + $ M_2q_1q_2$ + $ M_3q_1q_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6784 | 0.88 | 0.7709 | [X:[], M:[1.1129, 0.7742, 0.7742, 0.8871, 0.7258], q:[0.75, 0.4758], qb:[0.3629, 0.4113], phi:[0.5]] | t^2.18 + 3*t^2.32 + t^2.52 + t^2.66 + t^3. + t^3.34 + t^3.48 + t^3.97 + t^4.02 + t^4.16 + 2*t^4.35 + 3*t^4.5 + 6*t^4.65 + t^4.69 + 4*t^4.84 + 3*t^4.98 + t^5.03 + 2*t^5.18 + 4*t^5.32 + 2*t^5.52 + 4*t^5.66 + 2*t^5.81 - t^6. - t^4.5/y - t^4.5*y | detail |