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 |
|---|---|---|---|---|---|---|---|---|---|
| 4133 | 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_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6687 | 0.8415 | 0.7947 | [X:[], M:[1.0588, 1.0588, 1.1765, 0.8235, 0.7059, 1.0588, 0.7059], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], phi:[0.4706]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 52563/78608, c: 33073/39304, M1: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 12/17, M6: 18/17, M7: 12/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, phi1: 8/17} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_4$, $ M_1$, $ M_2$, $ M_6$, $ M_3$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_4M_7$, $ \phi_1q_2^2$, $ M_4^2$, $ M_1M_5$, $ M_2M_5$, $ M_5M_6$, $ M_1M_7$, $ M_2M_7$, $ M_6M_7$, $ M_1M_4$, $ M_2M_4$, $ M_3M_5$, $ M_4M_6$, $ M_3M_7$, $ M_5q_1\tilde{q}_1$, $ M_7q_1\tilde{q}_1$ | $M_4q_1\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_2^2$ | 1 | 2*t^2.12 + t^2.47 + 3*t^3.18 + 2*t^3.53 + 2*t^3.88 + 5*t^4.24 + 3*t^4.59 + t^4.94 + 6*t^5.29 + 5*t^5.65 + t^6. + 11*t^6.35 + 9*t^6.71 + 4*t^7.06 + 12*t^7.41 + 10*t^7.76 + t^8.12 + 15*t^8.47 + 15*t^8.82 - t^4.41/y - (2*t^6.53)/y + (3*t^7.24)/y + (8*t^8.29)/y + (4*t^8.65)/y - t^4.41*y - 2*t^6.53*y + 3*t^7.24*y + 8*t^8.29*y + 4*t^8.65*y | 2*t^2.12 + t^2.47 + 3*t^3.18 + 2*t^3.53 + 2*t^3.88 + 5*t^4.24 + 3*t^4.59 + t^4.94 + 6*t^5.29 + 5*t^5.65 + t^6. + 11*t^6.35 + 9*t^6.71 + 4*t^7.06 + 12*t^7.41 + 10*t^7.76 + t^8.12 + 15*t^8.47 + 15*t^8.82 - t^4.41/y - (2*t^6.53)/y + (3*t^7.24)/y + (8*t^8.29)/y + (4*t^8.65)/y - t^4.41*y - 2*t^6.53*y + 3*t^7.24*y + 8*t^8.29*y + 4*t^8.65*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 |
|---|---|---|---|---|---|---|---|---|
| 5639 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6891 | 0.8803 | 0.7828 | [X:[], M:[1.0588, 1.0588, 1.1765, 0.8235, 0.7059, 1.0588, 0.7059, 0.7059], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], phi:[0.4706]] | 3*t^2.12 + t^2.47 + 3*t^3.18 + 2*t^3.53 + t^3.88 + 8*t^4.24 + 4*t^4.59 + t^4.94 + 9*t^5.29 + 7*t^5.65 - t^4.41/y - t^4.41*y | detail | {a: 6771/9826, c: 17299/19652, M1: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 12/17, M6: 18/17, M7: 12/17, M8: 12/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2159 | 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_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1q_2$ | 0.6748 | 0.848 | 0.7958 | [X:[], M:[0.9778, 1.0838, 1.1453, 0.8547, 0.6872, 1.0838, 0.6872], q:[0.7709, 0.5419], qb:[0.4803, 0.3744], phi:[0.4581]] | 2*t^2.06 + t^2.56 + t^2.93 + 2*t^3.25 + t^3.44 + t^3.62 + t^3.75 + 4*t^4.12 + t^4.26 + t^4.44 + 3*t^4.63 + 2*t^4.99 + t^5.13 + 4*t^5.31 + 2*t^5.5 + t^5.68 + 3*t^5.82 + t^5.87 - 2*t^6. - t^4.37/y - t^4.37*y | detail |