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 |
|---|---|---|---|---|---|---|---|---|---|
| 4242 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_2M_7$ | 0.6126 | 0.787 | 0.7785 | [X:[], M:[1.2632, 0.9474, 0.7368, 0.7368, 0.7368, 0.8421, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 67233/109744, c: 43183/54872, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 14/19, M6: 16/19, M7: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_7$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_5$, $ M_4M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_6$, $ M_4M_6$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_4$, $ M_2M_5$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ M_3M_7$, $ M_4M_7$, $ M_5M_7$, $ M_2\phi_1^2$, $ M_3q_1q_2$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_2^2$, $ M_6M_7$, $ M_7\phi_1^2$, $ M_6q_1q_2$ | $\phi_1\tilde{q}_2^2$ | -1 | 3*t^2.21 + 2*t^2.53 + t^2.84 + 2*t^3.16 + t^4.11 + 6*t^4.42 + 7*t^4.74 + 6*t^5.05 + 7*t^5.37 + 3*t^5.68 - t^6. + 3*t^6.32 + 8*t^6.63 + 11*t^6.95 + 15*t^7.26 + 16*t^7.58 + 9*t^7.89 - t^8.21 + 6*t^8.84 - t^4.26/y - (2*t^6.47)/y - (2*t^6.79)/y + (3*t^7.42)/y + (8*t^7.74)/y + (6*t^8.05)/y + (8*t^8.37)/y + t^8.68/y - t^4.26*y - 2*t^6.47*y - 2*t^6.79*y + 3*t^7.42*y + 8*t^7.74*y + 6*t^8.05*y + 8*t^8.37*y + t^8.68*y | 3*t^2.21 + 2*t^2.53 + t^2.84 + 2*t^3.16 + t^4.11 + 6*t^4.42 + 7*t^4.74 + 6*t^5.05 + 7*t^5.37 + 3*t^5.68 - t^6. + 3*t^6.32 + 8*t^6.63 + 11*t^6.95 + 15*t^7.26 + 16*t^7.58 + 9*t^7.89 - t^8.21 + 6*t^8.84 - t^4.26/y - (2*t^6.47)/y - (2*t^6.79)/y + (3*t^7.42)/y + (8*t^7.74)/y + (6*t^8.05)/y + (8*t^8.37)/y + t^8.68/y - t^4.26*y - 2*t^6.47*y - 2*t^6.79*y + 3*t^7.42*y + 8*t^7.74*y + 6*t^8.05*y + 8*t^8.37*y + t^8.68*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 |
|---|---|---|---|---|---|---|---|---|
| 5728 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_2M_7$ + $ M_2M_8$ | 0.6077 | 0.7788 | 0.7804 | [X:[], M:[1.2632, 0.9474, 0.7368, 0.7368, 0.7368, 0.8421, 1.0526, 1.0526], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 3*t^2.21 + 2*t^2.53 + 3*t^3.16 + t^4.11 + 6*t^4.42 + 7*t^4.74 + 3*t^5.05 + 8*t^5.37 + 4*t^5.68 - 3*t^6. - t^4.26/y - t^4.26*y | detail | {a: 8337/13718, c: 21367/27436, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 14/19, M6: 16/19, M7: 20/19, M8: 20/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
| 5729 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_2M_7$ + $ M_7M_8$ | 0.6175 | 0.7952 | 0.7766 | [X:[], M:[1.2632, 0.9474, 0.7368, 0.7368, 0.7368, 0.8421, 1.0526, 0.9474], q:[0.7895, 0.2632], qb:[0.4737, 0.7895], phi:[0.4211]] | 3*t^2.21 + 2*t^2.53 + 2*t^2.84 + t^3.16 + t^4.11 + 6*t^4.42 + 7*t^4.74 + 9*t^5.05 + 6*t^5.37 + 3*t^5.68 - t^6. - t^4.26/y - t^4.26*y | detail | {a: 33885/54872, c: 5454/6859, M1: 24/19, M2: 18/19, M3: 14/19, M4: 14/19, M5: 14/19, M6: 16/19, M7: 20/19, M8: 18/19, q1: 15/19, q2: 5/19, qb1: 9/19, qb2: 15/19, phi1: 8/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2245 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6847 | 0.8767 | 0.781 | [X:[], M:[1.1784, 0.7496, 0.8216, 0.8216, 0.8216, 0.7856, 0.7136], q:[0.8036, 0.4468], qb:[0.3748, 0.8036], phi:[0.3928]] | t^2.14 + t^2.25 + 2*t^2.36 + 3*t^2.46 + t^3.43 + t^3.75 + t^4.28 + t^4.39 + 3*t^4.5 + 5*t^4.61 + 6*t^4.71 + 7*t^4.82 + 6*t^4.93 + t^5.57 + t^5.68 + t^5.78 + 2*t^5.89 - 2*t^6. - t^4.18/y - t^4.18*y | detail |