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 |
|---|---|---|---|---|---|---|---|---|---|
| 4315 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6204 | 0.799 | 0.7765 | [X:[], M:[0.8571, 0.7143, 1.0, 1.2857, 0.8571, 0.7143, 0.8571], q:[0.8571, 0.2857], qb:[0.4286, 0.7143], phi:[0.4286]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3405/5488, c: 4385/5488, M1: 6/7, M2: 5/7, M3: 1, M4: 9/7, M5: 6/7, M6: 5/7, M7: 6/7, q1: 6/7, q2: 2/7, qb1: 3/7, qb2: 5/7, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_1$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_2M_7$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_3M_6$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ M_2\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_3M_5$, $ M_3M_7$, $ M_3\phi_1^2$, $ M_5\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ \phi_1\tilde{q}_2^2$ | $M_3\phi_1q_2^2$, $ \phi_1^2q_2^4$, $ M_2\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$ | 0 | 2*t^2.14 + 4*t^2.57 + 2*t^3. + t^3.86 + 3*t^4.29 + 9*t^4.71 + 14*t^5.14 + 6*t^5.57 + 4*t^6.43 + 9*t^6.86 + 24*t^7.29 + 31*t^7.71 + 7*t^8.14 - 7*t^8.57 - t^4.29/y - t^6.43/y - (4*t^6.86)/y + t^7.29/y + (12*t^7.71)/y + (11*t^8.14)/y + (7*t^8.57)/y - t^4.29*y - t^6.43*y - 4*t^6.86*y + t^7.29*y + 12*t^7.71*y + 11*t^8.14*y + 7*t^8.57*y | 2*t^2.14 + 4*t^2.57 + 2*t^3. + t^3.86 + 3*t^4.29 + 9*t^4.71 + 14*t^5.14 + 6*t^5.57 + 4*t^6.43 + 9*t^6.86 + 24*t^7.29 + 31*t^7.71 + 7*t^8.14 - 7*t^8.57 - t^4.29/y - t^6.43/y - (4*t^6.86)/y + t^7.29/y + (12*t^7.71)/y + (11*t^8.14)/y + (7*t^8.57)/y - t^4.29*y - t^6.43*y - 4*t^6.86*y + t^7.29*y + 12*t^7.71*y + 11*t^8.14*y + 7*t^8.57*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 |
|---|---|---|---|---|---|---|---|---|
| 5766 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6407 | 0.8371 | 0.7653 | [X:[], M:[0.8571, 0.7143, 1.0, 1.2857, 0.8571, 0.7143, 0.8571, 0.7143], q:[0.8571, 0.2857], qb:[0.4286, 0.7143], phi:[0.4286]] | 3*t^2.14 + 4*t^2.57 + 2*t^3. + 6*t^4.29 + 13*t^4.71 + 16*t^5.14 + 6*t^5.57 - 2*t^6. - t^4.29/y - t^4.29*y | detail | {a: 879/1372, c: 2297/2744, M1: 6/7, M2: 5/7, M3: 1, M4: 9/7, M5: 6/7, M6: 5/7, M7: 6/7, M8: 5/7, q1: 6/7, q2: 2/7, qb1: 3/7, qb2: 5/7, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2326 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.6079 | 0.7775 | 0.7818 | [X:[], M:[0.8571, 0.7143, 1.0, 1.2857, 0.8571, 0.7143], q:[0.8571, 0.2857], qb:[0.4286, 0.7143], phi:[0.4286]] | 2*t^2.14 + 3*t^2.57 + 2*t^3. + t^3.43 + t^3.86 + 3*t^4.29 + 7*t^4.71 + 10*t^5.14 + 6*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 417/686, c: 4267/5488, M1: 6/7, M2: 5/7, M3: 1, M4: 9/7, M5: 6/7, M6: 5/7, q1: 6/7, q2: 2/7, qb1: 3/7, qb2: 5/7, phi1: 3/7} |