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 |
|---|---|---|---|---|---|---|---|---|---|
| 5010 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ | 0.6837 | 0.8653 | 0.7902 | [X:[], M:[0.8571, 1.0476, 1.1429, 0.7619, 0.8571, 1.0476, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 11257/16464, c: 7123/8232, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 6/7, M6: 22/21, M7: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ M_2$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_7$, $ M_5M_7$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_2M_4$, $ M_4M_6$, $ M_2M_7$, $ M_6M_7$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_6q_1\tilde{q}_2$ | $M_7q_2\tilde{q}_1$ | -3 | 2*t^2.29 + 3*t^2.57 + 2*t^3.14 + t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^4.57 + 6*t^4.86 + 6*t^5.14 + 4*t^5.43 + 4*t^5.71 - 3*t^6. + 6*t^6.29 + 9*t^6.57 + 10*t^6.86 + 8*t^7.14 + 10*t^7.43 + 12*t^7.71 + 8*t^8. + t^8.29 + 14*t^8.86 - t^4.43/y - (2*t^6.71)/y - t^7./y + t^7.29/y + (7*t^7.86)/y + (5*t^8.14)/y + (4*t^8.43)/y + (6*t^8.71)/y - t^4.43*y - 2*t^6.71*y - t^7.*y + t^7.29*y + 7*t^7.86*y + 5*t^8.14*y + 4*t^8.43*y + 6*t^8.71*y | 2*t^2.29 + 3*t^2.57 + 2*t^3.14 + t^3.71 + 2*t^4. + 3*t^4.29 + 3*t^4.57 + 6*t^4.86 + 6*t^5.14 + 4*t^5.43 + 4*t^5.71 - 3*t^6. + 6*t^6.29 + 9*t^6.57 + 10*t^6.86 + 8*t^7.14 + 10*t^7.43 + 12*t^7.71 + 8*t^8. + t^8.29 + 14*t^8.86 - t^4.43/y - (2*t^6.71)/y - t^7./y + t^7.29/y + (7*t^7.86)/y + (5*t^8.14)/y + (4*t^8.43)/y + (6*t^8.71)/y - t^4.43*y - 2*t^6.71*y - t^7.*y + t^7.29*y + 7*t^7.86*y + 5*t^8.14*y + 4*t^8.43*y + 6*t^8.71*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 |
|---|---|---|---|---|---|---|---|---|
| 6585 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ + $ M_4q_2\tilde{q}_1$ + $ M_8q_2\tilde{q}_1$ | 0.7023 | 0.8987 | 0.7814 | [X:[], M:[0.8571, 1.0476, 1.1429, 0.7619, 0.8571, 1.0476, 0.7619, 0.7619], q:[0.381, 0.7619], qb:[0.4762, 0.4762], phi:[0.4762]] | 3*t^2.29 + 3*t^2.57 + 2*t^3.14 + 2*t^4. + 3*t^4.29 + 6*t^4.57 + 9*t^4.86 + 6*t^5.14 + 6*t^5.43 + 4*t^5.71 - 5*t^6. - t^4.43/y - t^4.43*y | detail | {a: 1927/2744, c: 1233/1372, M1: 6/7, M2: 22/21, M3: 8/7, M4: 16/21, M5: 6/7, M6: 22/21, M7: 16/21, M8: 16/21, q1: 8/21, q2: 16/21, qb1: 10/21, qb2: 10/21, phi1: 10/21} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3132 | 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_1M_3$ + $ M_3M_5$ + $ M_2\phi_1^2$ + $ M_6\phi_1^2$ + $ \phi_1q_2^2$ + $ M_7\phi_1q_1^2$ | 0.6895 | 0.8758 | 0.7872 | [X:[], M:[0.8301, 1.0566, 1.1699, 0.7168, 0.8301, 1.0566, 0.7168], q:[0.4058, 0.7642], qb:[0.4243, 0.519], phi:[0.4717]] | 2*t^2.15 + 2*t^2.49 + t^2.77 + 2*t^3.17 + t^3.57 + t^3.91 + t^3.96 + t^4.19 + t^4.25 + 3*t^4.3 + t^4.53 + 4*t^4.64 + 2*t^4.92 + 3*t^4.98 + 2*t^5.26 + 4*t^5.32 + t^5.55 + 3*t^5.66 + t^5.72 + t^5.94 - 3*t^6. - t^4.42/y - t^4.42*y | detail |