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 |
|---|---|---|---|---|---|---|---|---|---|
| 471 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4^2$ | 0.5615 | 0.7218 | 0.7778 | [X:[], M:[1.1317, 0.7365, 0.7365, 1.0], q:[0.5853, 0.9805], qb:[0.2829, 0.4147], phi:[0.4341]] | [X:[], M:[[4], [-8], [-8], [0]], q:[[-5], [7]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ M_2$, $ M_3$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_2$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1\tilde{q}_2^2$, $ M_2M_4$, $ M_3M_4$, $ \phi_1^4$, $ M_2q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_1M_3$, $ M_4\phi_1^2$, $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ | $M_4q_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | 1 | t^2.09 + 2*t^2.21 + t^2.6 + 2*t^3. + 2*t^3.4 + 2*t^4.19 + 2*t^4.3 + 3*t^4.42 + 2*t^4.7 + 2*t^4.81 + 2*t^5.09 + 4*t^5.21 + 2*t^5.49 + 4*t^5.6 + t^6. + 2*t^6.28 + 4*t^6.4 + 2*t^6.51 + 4*t^6.63 + 2*t^6.79 + 2*t^6.91 + 3*t^7.02 + 2*t^7.19 + 2*t^7.3 + 6*t^7.42 + 3*t^7.58 + 2*t^7.7 + 6*t^7.81 + 3*t^8.37 + 2*t^8.49 + 3*t^8.6 + 2*t^8.72 + 5*t^8.84 + 2*t^8.88 - t^4.3/y - (2*t^6.51)/y + (2*t^7.3)/y + t^7.42/y + t^7.7/y + (2*t^7.81)/y + (4*t^8.09)/y + (4*t^8.21)/y + (2*t^8.49)/y + (6*t^8.6)/y - (3*t^8.72)/y - t^4.3*y - 2*t^6.51*y + 2*t^7.3*y + t^7.42*y + t^7.7*y + 2*t^7.81*y + 4*t^8.09*y + 4*t^8.21*y + 2*t^8.49*y + 6*t^8.6*y - 3*t^8.72*y | g1^6*t^2.09 + (2*t^2.21)/g1^8 + t^2.6/g1^4 + 2*t^3. + 2*g1^4*t^3.4 + 2*g1^12*t^4.19 + (2*t^4.3)/g1^2 + (3*t^4.42)/g1^16 + 2*g1^2*t^4.7 + (2*t^4.81)/g1^12 + 2*g1^6*t^5.09 + (4*t^5.21)/g1^8 + 2*g1^10*t^5.49 + (4*t^5.6)/g1^4 + t^6. + 2*g1^18*t^6.28 + 4*g1^4*t^6.4 + (2*t^6.51)/g1^10 + (4*t^6.63)/g1^24 + 2*g1^8*t^6.79 + (2*t^6.91)/g1^6 + (3*t^7.02)/g1^20 + 2*g1^12*t^7.19 + (2*t^7.3)/g1^2 + (6*t^7.42)/g1^16 + 3*g1^16*t^7.58 + 2*g1^2*t^7.7 + (6*t^7.81)/g1^12 + 3*g1^24*t^8.37 + 2*g1^10*t^8.49 + (3*t^8.6)/g1^4 + (2*t^8.72)/g1^18 + (5*t^8.84)/g1^32 + 2*g1^14*t^8.88 - t^4.3/(g1^2*y) - (2*t^6.51)/(g1^10*y) + (2*t^7.3)/(g1^2*y) + t^7.42/(g1^16*y) + (g1^2*t^7.7)/y + (2*t^7.81)/(g1^12*y) + (4*g1^6*t^8.09)/y + (4*t^8.21)/(g1^8*y) + (2*g1^10*t^8.49)/y + (6*t^8.6)/(g1^4*y) - (3*t^8.72)/(g1^18*y) - (t^4.3*y)/g1^2 - (2*t^6.51*y)/g1^10 + (2*t^7.3*y)/g1^2 + (t^7.42*y)/g1^16 + g1^2*t^7.7*y + (2*t^7.81*y)/g1^12 + 4*g1^6*t^8.09*y + (4*t^8.21*y)/g1^8 + 2*g1^10*t^8.49*y + (6*t^8.6*y)/g1^4 - (3*t^8.72*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 760 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4^2$ + $ M_1M_5$ | 0.5735 | 0.7428 | 0.772 | [X:[], M:[1.1397, 0.7206, 0.7206, 1.0, 0.8603], q:[0.5754, 0.9945], qb:[0.2849, 0.4246], phi:[0.4302]] | t^2.13 + 2*t^2.16 + 2*t^2.58 + 2*t^3. + t^3.42 + 2*t^4.26 + 2*t^4.29 + 3*t^4.32 + 3*t^4.71 + 4*t^4.74 + 2*t^5.13 + 6*t^5.16 + t^5.55 + 4*t^5.58 + t^6. - t^4.29/y - t^4.29*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 300 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_1\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.5633 | 0.7261 | 0.7758 | [X:[], M:[1.1313, 0.7766, 0.698, 0.9607], q:[0.5662, 0.9995], qb:[0.3025, 0.3945], phi:[0.4343]] | 2*t^2.09 + t^2.33 + t^2.61 + 2*t^2.88 + 2*t^3.39 + 2*t^4.18 + 2*t^4.19 + 2*t^4.42 + t^4.66 + 3*t^4.7 + t^4.94 + 2*t^4.97 + 2*t^4.98 + 2*t^5.21 + 2*t^5.48 + 3*t^5.49 + t^5.72 + 3*t^5.76 - 2*t^6. - t^4.3/y - t^4.3*y | detail |