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 |
|---|---|---|---|---|---|---|---|---|---|
| 4249 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1^2$ | 0.6317 | 0.7814 | 0.8084 | [X:[], M:[1.1869, 0.7694, 0.8131, 0.8131, 1.2306, 0.8131, 0.7475, 1.2087], q:[0.8022, 0.4284], qb:[0.3847, 0.8022], phi:[0.3956]] | [X:[], M:[[-6], [-14], [6], [6], [14], [6], [-24], [4]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_3$, $ M_4$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ M_8$, $ \phi_1q_2\tilde{q}_1$, $ M_5$, $ q_1q_2$, $ M_7^2$, $ M_3M_7$, $ M_4M_7$, $ M_6M_7$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3M_6$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_7M_8$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_5M_7$, $ M_7q_1q_2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$ | $\phi_1\tilde{q}_2^2$ | -3 | t^2.24 + 3*t^2.44 + t^3.5 + 2*t^3.63 + 2*t^3.69 + t^4.49 + 3*t^4.68 + t^4.81 + 6*t^4.88 + t^5.74 + t^5.87 + 3*t^5.93 - 3*t^6. + 4*t^6.07 + 5*t^6.13 + t^6.73 + 3*t^6.92 + t^6.99 + 5*t^7.12 - 2*t^7.19 + t^7.25 + 11*t^7.32 + 2*t^7.38 + t^7.98 + t^8.11 + 3*t^8.18 - 3*t^8.24 + t^8.31 + 4*t^8.37 - 9*t^8.44 + 6*t^8.5 + 8*t^8.57 + t^8.97 - t^4.19/y - t^6.43/y - (2*t^6.63)/y + (3*t^7.68)/y + (2*t^7.75)/y + (3*t^7.88)/y + t^7.94/y - t^8.67/y + t^8.74/y + (5*t^8.93)/y - t^4.19*y - t^6.43*y - 2*t^6.63*y + 3*t^7.68*y + 2*t^7.75*y + 3*t^7.88*y + t^7.94*y - t^8.67*y + t^8.74*y + 5*t^8.93*y | t^2.24/g1^24 + 3*g1^6*t^2.44 + t^3.5/g1^16 + 2*g1^4*t^3.63 + 2*g1^14*t^3.69 + t^4.49/g1^48 + (3*t^4.68)/g1^18 + g1^2*t^4.81 + 6*g1^12*t^4.88 + t^5.74/g1^40 + t^5.87/g1^20 + (3*t^5.93)/g1^10 - 3*t^6. + 4*g1^10*t^6.07 + 5*g1^20*t^6.13 + t^6.73/g1^72 + (3*t^6.92)/g1^42 + t^6.99/g1^32 + (5*t^7.12)/g1^12 - (2*t^7.19)/g1^2 + g1^8*t^7.25 + 11*g1^18*t^7.32 + 2*g1^28*t^7.38 + t^7.98/g1^64 + t^8.11/g1^44 + (3*t^8.18)/g1^34 - (3*t^8.24)/g1^24 + t^8.31/g1^14 + (4*t^8.37)/g1^4 - 9*g1^6*t^8.44 + 6*g1^16*t^8.5 + 8*g1^26*t^8.57 + t^8.97/g1^96 - t^4.19/(g1^2*y) - t^6.43/(g1^26*y) - (2*g1^4*t^6.63)/y + (3*t^7.68)/(g1^18*y) + (2*t^7.75)/(g1^8*y) + (3*g1^12*t^7.88)/y + (g1^22*t^7.94)/y - t^8.67/(g1^50*y) + t^8.74/(g1^40*y) + (5*t^8.93)/(g1^10*y) - (t^4.19*y)/g1^2 - (t^6.43*y)/g1^26 - 2*g1^4*t^6.63*y + (3*t^7.68*y)/g1^18 + (2*t^7.75*y)/g1^8 + 3*g1^12*t^7.88*y + g1^22*t^7.94*y - (t^8.67*y)/g1^50 + (t^8.74*y)/g1^40 + (5*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 5731 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1^2$ + $ M_7^2$ | 0.5959 | 0.7469 | 0.7978 | [X:[], M:[1.25, 0.9167, 0.75, 0.75, 1.0833, 0.75, 1.0, 1.1667], q:[0.7917, 0.2917], qb:[0.4583, 0.7917], phi:[0.4167]] | 3*t^2.25 + t^3. + 2*t^3.25 + 2*t^3.5 + t^4. + 6*t^4.5 + t^4.75 + 3*t^5.25 + 5*t^5.5 + 4*t^5.75 - 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 3661/6144, c: 4589/6144, M1: 5/4, M2: 11/12, M3: 3/4, M4: 3/4, M5: 13/12, M6: 3/4, M7: 1, M8: 7/6, q1: 19/24, q2: 7/24, qb1: 11/24, qb2: 19/24, phi1: 5/12} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2254 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_1M_4$ + $ M_2M_5$ + $ M_1M_6$ + $ M_7\phi_1q_2^2$ | 0.6487 | 0.8115 | 0.7994 | [X:[], M:[1.185, 0.7649, 0.815, 0.815, 1.2351, 0.815, 0.7398], q:[0.8025, 0.4326], qb:[0.3825, 0.8025], phi:[0.395]] | t^2.22 + t^2.37 + 3*t^2.45 + t^3.48 + t^3.63 + 2*t^3.71 + t^4.44 + t^4.59 + 3*t^4.66 + t^4.74 + 4*t^4.82 + 6*t^4.89 + t^5.7 + t^5.85 + 3*t^5.92 - 2*t^6. - t^4.18/y - t^4.18*y | detail |