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 |
|---|---|---|---|---|---|---|---|---|---|
| 47201 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ M_1M_5$ | 0.6327 | 0.7884 | 0.8026 | [X:[1.6], M:[1.2, 0.4, 0.7698, 0.7397, 0.8], q:[0.4151, 0.3849], qb:[0.8453, 0.7547], phi:[0.4]] | [X:[[0]], M:[[0], [0], [2], [4], [0]], q:[[-1], [1]], qb:[[-3], [3]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_5$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ X_1$, $ M_4q_2\tilde{q}_2$, $ M_4\phi_1q_2^2$, $ M_4q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1q_1q_2$, $ M_3\phi_1q_2^2$, $ M_3q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3\phi_1q_1q_2$, $ M_5\phi_1q_2^2$, $ \phi_1^3q_2^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | $M_5\phi_1q_1q_2$, $ \phi_1^3q_1q_2$ | 0 | t^2.22 + t^2.31 + 2*t^2.4 + t^3.42 + 2*t^3.51 + t^3.6 + t^3.69 + t^4.44 + t^4.53 + 3*t^4.62 + 2*t^4.71 + 4*t^4.8 + t^5.64 + 3*t^5.73 + 4*t^5.82 + 4*t^5.91 - t^6.18 + t^6.66 + t^6.75 + 4*t^6.84 + 5*t^6.93 + 8*t^7.02 + 3*t^7.11 + 4*t^7.2 - 3*t^7.29 - t^7.38 + t^7.86 + 3*t^7.95 + 5*t^8.04 + 7*t^8.13 + 4*t^8.22 + 2*t^8.31 - 4*t^8.4 - 3*t^8.49 - 3*t^8.58 + t^8.88 + t^8.97 - t^4.2/y - t^6.42/y - t^6.51/y - t^6.6/y + t^7.53/y + (2*t^7.62)/y + (2*t^7.71)/y + (2*t^7.8)/y + t^7.89/y + t^7.98/y + (2*t^8.73)/y + (3*t^8.82)/y + (5*t^8.91)/y - t^4.2*y - t^6.42*y - t^6.51*y - t^6.6*y + t^7.53*y + 2*t^7.62*y + 2*t^7.71*y + 2*t^7.8*y + t^7.89*y + t^7.98*y + 2*t^8.73*y + 3*t^8.82*y + 5*t^8.91*y | g1^4*t^2.22 + g1^2*t^2.31 + 2*t^2.4 + g1^4*t^3.42 + 2*g1^2*t^3.51 + t^3.6 + t^3.69/g1^2 + g1^8*t^4.44 + g1^6*t^4.53 + 3*g1^4*t^4.62 + 2*g1^2*t^4.71 + 4*t^4.8 + g1^8*t^5.64 + 3*g1^6*t^5.73 + 4*g1^4*t^5.82 + 4*g1^2*t^5.91 - t^6.18/g1^4 + g1^12*t^6.66 + g1^10*t^6.75 + 4*g1^8*t^6.84 + 5*g1^6*t^6.93 + 8*g1^4*t^7.02 + 3*g1^2*t^7.11 + 4*t^7.2 - (3*t^7.29)/g1^2 - t^7.38/g1^4 + g1^12*t^7.86 + 3*g1^10*t^7.95 + 5*g1^8*t^8.04 + 7*g1^6*t^8.13 + 4*g1^4*t^8.22 + 2*g1^2*t^8.31 - 4*t^8.4 - (3*t^8.49)/g1^2 - (3*t^8.58)/g1^4 + g1^16*t^8.88 + g1^14*t^8.97 - t^4.2/y - (g1^4*t^6.42)/y - (g1^2*t^6.51)/y - t^6.6/y + (g1^6*t^7.53)/y + (2*g1^4*t^7.62)/y + (2*g1^2*t^7.71)/y + (2*t^7.8)/y + t^7.89/(g1^2*y) + t^7.98/(g1^4*y) + (2*g1^6*t^8.73)/y + (3*g1^4*t^8.82)/y + (5*g1^2*t^8.91)/y - t^4.2*y - g1^4*t^6.42*y - g1^2*t^6.51*y - t^6.6*y + g1^6*t^7.53*y + 2*g1^4*t^7.62*y + 2*g1^2*t^7.71*y + 2*t^7.8*y + (t^7.89*y)/g1^2 + (t^7.98*y)/g1^4 + 2*g1^6*t^8.73*y + 3*g1^4*t^8.82*y + 5*g1^2*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 50949 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ M_1M_5$ + $ M_4^2$ | 0.5858 | 0.7171 | 0.817 | [X:[1.6], M:[1.2, 0.4, 0.9, 1.0, 0.8], q:[0.35, 0.45], qb:[0.65, 0.95], phi:[0.4]] | 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 2*t^3.9 + t^4.2 + 4*t^4.8 + 2*t^5.1 + 2*t^5.4 + t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 18747/32000, c: 22947/32000, X1: 8/5, M1: 6/5, M2: 2/5, M3: 9/10, M4: 1, M5: 4/5, q1: 7/20, q2: 9/20, qb1: 13/20, qb2: 19/20, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46374 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_3\phi_1q_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ | 0.6162 | 0.7594 | 0.8115 | [X:[1.6], M:[1.2, 0.4, 0.7698, 0.7397], q:[0.4151, 0.3849], qb:[0.8453, 0.7547], phi:[0.4]] | t^2.22 + t^2.31 + t^2.4 + t^3.42 + 2*t^3.51 + 2*t^3.6 + t^3.69 + t^4.44 + t^4.53 + 2*t^4.62 + t^4.71 + 2*t^4.8 + t^5.64 + 3*t^5.73 + 4*t^5.82 + 3*t^5.91 - t^4.2/y - t^4.2*y | detail |