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 |
|---|---|---|---|---|---|---|---|---|---|
| 6246 | 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\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5M_6$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ | 0.7081 | 0.8882 | 0.7972 | [X:[], M:[1.0, 0.8824, 0.7647, 1.1176, 1.0588, 0.9412, 0.8824, 0.8235], q:[0.6471, 0.3529], qb:[0.5882, 0.5294], phi:[0.4706]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 27831/39304, c: 69823/78608, M1: 1, M2: 15/17, M3: 13/17, M4: 19/17, M5: 18/17, M6: 16/17, M7: 15/17, M8: 14/17, q1: 11/17, q2: 6/17, qb1: 10/17, qb2: 9/17, phi1: 8/17} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_8$, $ M_2$, $ M_7$, $ M_6$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_3^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_3M_7$, $ M_8^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_2M_8$, $ M_7M_8$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_1M_3$, $ M_2M_7$, $ M_7^2$, $ M_6M_8$, $ M_8\phi_1^2$, $ \phi_1q_1^2$, $ M_2M_6$, $ M_6M_7$, $ M_1M_8$, $ M_2\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_6^2$, $ M_1M_7$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_1\phi_1^2$, $ M_3q_1\tilde{q}_2$ | . | -2 | t^2.29 + t^2.47 + 2*t^2.65 + 2*t^2.82 + t^3. + t^3.53 + t^4.06 + t^4.24 + t^4.41 + 2*t^4.59 + 2*t^4.76 + 5*t^4.94 + 4*t^5.12 + 6*t^5.29 + 4*t^5.47 + 4*t^5.65 + t^5.82 - 2*t^6. + t^6.35 + t^6.53 + t^6.71 + 4*t^6.88 + 7*t^7.06 + 7*t^7.24 + 7*t^7.41 + 11*t^7.59 + 10*t^7.76 + 11*t^7.94 + 7*t^8.12 + 2*t^8.29 + 2*t^8.47 - 5*t^8.65 - 4*t^8.82 - t^4.41/y - t^6.71/y - t^6.88/y - t^7.06/y - t^7.24/y + t^7.59/y + (2*t^7.76)/y + (3*t^7.94)/y + (5*t^8.12)/y + (4*t^8.29)/y + (5*t^8.47)/y + (3*t^8.65)/y + (3*t^8.82)/y - t^4.41*y - t^6.71*y - t^6.88*y - t^7.06*y - t^7.24*y + t^7.59*y + 2*t^7.76*y + 3*t^7.94*y + 5*t^8.12*y + 4*t^8.29*y + 5*t^8.47*y + 3*t^8.65*y + 3*t^8.82*y | t^2.29 + t^2.47 + 2*t^2.65 + 2*t^2.82 + t^3. + t^3.53 + t^4.06 + t^4.24 + t^4.41 + 2*t^4.59 + 2*t^4.76 + 5*t^4.94 + 4*t^5.12 + 6*t^5.29 + 4*t^5.47 + 4*t^5.65 + t^5.82 - 2*t^6. + t^6.35 + t^6.53 + t^6.71 + 4*t^6.88 + 7*t^7.06 + 7*t^7.24 + 7*t^7.41 + 11*t^7.59 + 10*t^7.76 + 11*t^7.94 + 7*t^8.12 + 2*t^8.29 + 2*t^8.47 - 5*t^8.65 - 4*t^8.82 - t^4.41/y - t^6.71/y - t^6.88/y - t^7.06/y - t^7.24/y + t^7.59/y + (2*t^7.76)/y + (3*t^7.94)/y + (5*t^8.12)/y + (4*t^8.29)/y + (5*t^8.47)/y + (3*t^8.65)/y + (3*t^8.82)/y - t^4.41*y - t^6.71*y - t^6.88*y - t^7.06*y - t^7.24*y + t^7.59*y + 2*t^7.76*y + 3*t^7.94*y + 5*t^8.12*y + 4*t^8.29*y + 5*t^8.47*y + 3*t^8.65*y + 3*t^8.82*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4678 | 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\phi_1^2$ + $ M_1^2$ + $ M_2M_4$ + $ M_5M_6$ + $ M_4M_7$ + $ M_8\phi_1q_2^2$ | 0.7257 | 0.9094 | 0.798 | [X:[], M:[1.0, 0.9386, 0.8772, 1.0614, 1.0307, 0.9693, 0.9386, 0.6689], q:[0.5768, 0.4232], qb:[0.5461, 0.5154], phi:[0.4846]] | t^2.01 + t^2.63 + 2*t^2.82 + 2*t^2.91 + t^3. + t^3.28 + t^4.01 + t^4.27 + t^4.36 + t^4.45 + t^4.55 + 2*t^4.64 + 2*t^4.73 + 3*t^4.82 + 3*t^4.91 + t^5.01 + t^5.26 + t^5.28 + 2*t^5.45 + t^5.54 + 3*t^5.63 + 3*t^5.72 + 4*t^5.82 + t^5.91 - 3*t^6. - t^4.45/y - t^4.45*y | detail |