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 |
|---|---|---|---|---|---|---|---|---|---|
| 3560 | 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$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7\phi_1q_1^2$ | 0.6757 | 0.8596 | 0.7861 | [X:[1.4897], M:[0.7842, 0.9419, 1.2158, 0.5103, 0.7842, 0.7842, 0.7054], q:[0.4315, 0.7842], qb:[0.3527, 0.7054], phi:[0.4315]] | [X:[[7]], M:[[1], [-9], [-1], [-7], [1], [1], [6]], q:[[-2], [1]], qb:[[3], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_1$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ M_1M_7$, $ M_5M_7$, $ M_6M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_6$, $ M_5M_6$, $ M_6^2$, $ M_7\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ M_1M_2$, $ M_2M_5$, $ M_2M_6$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_7q_2\tilde{q}_1$, $ M_7\phi_1\tilde{q}_1^2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$ | $\phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$ | -1 | t^2.12 + 3*t^2.35 + t^2.59 + t^2.83 + 3*t^3.41 + t^4.23 + 5*t^4.47 + 8*t^4.71 + 3*t^4.94 + 3*t^5.18 + t^5.41 + 4*t^5.53 + t^5.65 + 8*t^5.76 - t^6. - t^6.24 + t^6.35 - t^6.47 + 5*t^6.59 + 16*t^6.82 + 11*t^7.06 + 3*t^7.29 + 6*t^7.53 + 4*t^7.64 + 4*t^7.77 + 14*t^7.88 + 3*t^8. + 12*t^8.12 + t^8.24 - 11*t^8.35 + t^8.47 + t^8.48 - 6*t^8.59 + 5*t^8.7 - 5*t^8.83 + 19*t^8.94 - t^4.29/y - t^6.41/y - (2*t^6.65)/y - t^6.88/y - t^7.12/y + (4*t^7.47)/y + (5*t^7.71)/y + (6*t^7.94)/y + (4*t^8.18)/y + t^8.41/y + (2*t^8.53)/y + (7*t^8.76)/y - t^4.29*y - t^6.41*y - 2*t^6.65*y - t^6.88*y - t^7.12*y + 4*t^7.47*y + 5*t^7.71*y + 6*t^7.94*y + 4*t^8.18*y + t^8.41*y + 2*t^8.53*y + 7*t^8.76*y | g1^6*t^2.12 + 3*g1*t^2.35 + t^2.59/g1^4 + t^2.83/g1^9 + 3*g1^4*t^3.41 + g1^12*t^4.23 + 5*g1^7*t^4.47 + 8*g1^2*t^4.71 + (3*t^4.94)/g1^3 + (3*t^5.18)/g1^8 + t^5.41/g1^13 + 4*g1^10*t^5.53 + t^5.65/g1^18 + 8*g1^5*t^5.76 - t^6. - t^6.24/g1^5 + g1^18*t^6.35 - t^6.47/g1^10 + 5*g1^13*t^6.59 + 16*g1^8*t^6.82 + 11*g1^3*t^7.06 + (3*t^7.29)/g1^2 + (6*t^7.53)/g1^7 + 4*g1^16*t^7.64 + (4*t^7.77)/g1^12 + 14*g1^11*t^7.88 + (3*t^8.)/g1^17 + 12*g1^6*t^8.12 + t^8.24/g1^22 - 11*g1*t^8.35 + g1^24*t^8.47 + t^8.48/g1^27 - (6*t^8.59)/g1^4 + 5*g1^19*t^8.7 - (5*t^8.83)/g1^9 + 19*g1^14*t^8.94 - t^4.29/(g1^2*y) - (g1^4*t^6.41)/y - (2*t^6.65)/(g1*y) - t^6.88/(g1^6*y) - t^7.12/(g1^11*y) + (4*g1^7*t^7.47)/y + (5*g1^2*t^7.71)/y + (6*t^7.94)/(g1^3*y) + (4*t^8.18)/(g1^8*y) + t^8.41/(g1^13*y) + (2*g1^10*t^8.53)/y + (7*g1^5*t^8.76)/y - (t^4.29*y)/g1^2 - g1^4*t^6.41*y - (2*t^6.65*y)/g1 - (t^6.88*y)/g1^6 - (t^7.12*y)/g1^11 + 4*g1^7*t^7.47*y + 5*g1^2*t^7.71*y + (6*t^7.94*y)/g1^3 + (4*t^8.18*y)/g1^8 + (t^8.41*y)/g1^13 + 2*g1^10*t^8.53*y + 7*g1^5*t^8.76*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 |
|---|---|---|---|---|---|---|---|---|
| 5233 | $M_1q_1q_2$ + $ 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$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7\phi_1q_1^2$ + $ M_7^2$ + $ M_2X_2$ + $ \phi_1^2X_3$ | 0.5182 | 0.6224 | 0.8326 | [X:[1.8333, 1.5, 1.3333], M:[0.8333, 0.5, 1.1667, 0.1667, 0.8333, 0.8333, 1.0], q:[0.3333, 0.8333], qb:[0.5, 1.0], phi:[0.3333]] | 3*t^2.5 + t^3. + 3*t^4. + 6*t^5. + t^5.5 - 2*t^6. - t^4./y - t^4.*y | detail | {a: 199/384, c: 239/384, X1: 11/6, X2: 3/2, X3: 4/3, M1: 5/6, M2: 1/2, M3: 7/6, M4: 1/6, M5: 5/6, M6: 5/6, M7: 1, q1: 1/3, q2: 5/6, qb1: 1/2, qb2: 1, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2964 | 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$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_4X_1$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6554 | 0.8206 | 0.7987 | [X:[1.4999], M:[0.7857, 0.9287, 1.2143, 0.5001, 0.7857, 0.7857], q:[0.4286, 0.7857], qb:[0.3571, 0.7142], phi:[0.4286]] | 3*t^2.36 + t^2.57 + t^2.79 + 3*t^3.43 + t^3.86 + 2*t^4.5 + 7*t^4.71 + 2*t^4.93 + 3*t^5.14 + t^5.36 + 2*t^5.57 + 8*t^5.79 - t^6. - t^4.29/y - t^4.29*y | detail |