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 |
|---|---|---|---|---|---|---|---|---|---|
| 1606 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_5M_7$ | 0.6187 | 0.7598 | 0.8142 | [X:[], M:[1.1749, 1.2167, 0.7414, 0.8251, 0.8251, 0.7414, 1.1749], q:[0.8042, 0.4544], qb:[0.3707, 0.8042], phi:[0.3916]] | [X:[], M:[[-6], [4], [-14], [6], [6], [-14], [-6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_6$, $ M_4$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ M_7$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_3^2$, $ M_3M_6$, $ M_6^2$, $ M_3M_4$, $ M_4M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_1M_3$, $ M_1M_6$, $ M_3M_7$, $ M_6M_7$, $ M_2M_3$, $ M_2M_6$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$ | $M_4M_7$, $ \phi_1\tilde{q}_2^2$ | -1 | 2*t^2.22 + t^2.48 + t^3.4 + 2*t^3.52 + 2*t^3.65 + t^3.9 + 3*t^4.45 + 2*t^4.7 + t^4.83 + t^4.95 + 2*t^5.62 + 3*t^5.75 + 3*t^5.87 - t^6. + 2*t^6.13 - t^6.25 + t^6.38 + 4*t^6.67 + t^6.8 + 4*t^6.92 + 4*t^7.05 + 2*t^7.17 + t^7.55 + t^7.8 + 3*t^7.85 + 4*t^7.97 + 4*t^8.1 - 3*t^8.22 + 3*t^8.35 - 3*t^8.48 - t^8.73 + t^8.85 + 5*t^8.9 - t^4.17/y - (2*t^6.4)/y + t^7.45/y + (2*t^7.7)/y + (2*t^7.95)/y - t^8.62/y + (4*t^8.75)/y + (5*t^8.87)/y - t^4.17*y - 2*t^6.4*y + t^7.45*y + 2*t^7.7*y + 2*t^7.95*y - t^8.62*y + 4*t^8.75*y + 5*t^8.87*y | (2*t^2.22)/g1^14 + g1^6*t^2.48 + t^3.4/g1^16 + (2*t^3.52)/g1^6 + 2*g1^4*t^3.65 + g1^24*t^3.9 + (3*t^4.45)/g1^28 + (2*t^4.7)/g1^8 + g1^2*t^4.83 + g1^12*t^4.95 + (2*t^5.62)/g1^30 + (3*t^5.75)/g1^20 + (3*t^5.87)/g1^10 - t^6. + 2*g1^10*t^6.13 - g1^20*t^6.25 + g1^30*t^6.38 + (4*t^6.67)/g1^42 + t^6.8/g1^32 + (4*t^6.92)/g1^22 + (4*t^7.05)/g1^12 + (2*t^7.17)/g1^2 + g1^28*t^7.55 + g1^48*t^7.8 + (3*t^7.85)/g1^44 + (4*t^7.97)/g1^34 + (4*t^8.1)/g1^24 - (3*t^8.22)/g1^14 + (3*t^8.35)/g1^4 - 3*g1^6*t^8.48 - g1^26*t^8.73 + g1^36*t^8.85 + (5*t^8.9)/g1^56 - t^4.17/(g1^2*y) - (2*t^6.4)/(g1^16*y) + t^7.45/(g1^28*y) + (2*t^7.7)/(g1^8*y) + (2*g1^12*t^7.95)/y - t^8.62/(g1^30*y) + (4*t^8.75)/(g1^20*y) + (5*t^8.87)/(g1^10*y) - (t^4.17*y)/g1^2 - (2*t^6.4*y)/g1^16 + (t^7.45*y)/g1^28 + (2*t^7.7*y)/g1^8 + 2*g1^12*t^7.95*y - (t^8.62*y)/g1^30 + (4*t^8.75*y)/g1^20 + (5*t^8.87*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4088 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ + $ M_5M_7$ + $ M_8\phi_1q_2^2$ | 0.6393 | 0.8004 | 0.7988 | [X:[], M:[1.1721, 1.2186, 0.7348, 0.8279, 0.8279, 0.7348, 1.1721, 0.6882], q:[0.8047, 0.4605], qb:[0.3674, 0.8047], phi:[0.3907]] | t^2.06 + 2*t^2.2 + t^2.48 + t^3.38 + 2*t^3.52 + 2*t^3.66 + t^4.13 + 2*t^4.27 + 3*t^4.41 + t^4.55 + 2*t^4.69 + t^4.83 + t^4.97 + t^5.44 + 4*t^5.58 + 5*t^5.72 + 3*t^5.86 - t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1029 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ | 0.6337 | 0.7854 | 0.8068 | [X:[], M:[1.1789, 1.214, 0.7509, 0.8211, 0.8211, 0.7509], q:[0.8035, 0.4456], qb:[0.3754, 0.8035], phi:[0.393]] | 2*t^2.25 + 2*t^2.46 + t^3.43 + t^3.54 + 2*t^3.64 + t^3.85 + 3*t^4.51 + 4*t^4.72 + t^4.82 + 3*t^4.93 + 2*t^5.68 + t^5.79 + 4*t^5.89 - t^6. - t^4.18/y - t^4.18*y | detail | {a: 68629/108300, c: 21266/27075, M1: 112/95, M2: 346/285, M3: 214/285, M4: 78/95, M5: 78/95, M6: 214/285, q1: 229/285, q2: 127/285, qb1: 107/285, qb2: 229/285, phi1: 112/285} |