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 |
|---|---|---|---|---|---|---|---|---|---|
| 54924 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3M_6$ | 0.6583 | 0.8285 | 0.7947 | [X:[1.4934], M:[0.5066, 0.937, 1.2152, 0.7848, 0.7086, 0.7848], q:[0.7086, 0.7848], qb:[0.3543, 0.4305], phi:[0.4305]] | [X:[[7]], M:[[-7], [-9], [-1], [1], [6], [1]], q:[[6], [1]], qb:[[3], [-2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_4M_5$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ \phi_1^4$, $ M_2\phi_1^2$, $ \phi_1q_1^2$, $ M_5q_2\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ M_5q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 1 | t^2.13 + 2*t^2.35 + t^2.58 + t^2.81 + 3*t^3.42 + t^3.65 + t^4.25 + 4*t^4.48 + 5*t^4.71 + 2*t^4.94 + 2*t^5.17 + t^5.39 + 4*t^5.54 + t^5.62 + 6*t^5.77 + t^6. + t^6.38 + 4*t^6.61 + 11*t^6.83 + 6*t^7.06 + t^7.29 + 3*t^7.52 + 4*t^7.67 + 3*t^7.75 + 11*t^7.9 + 2*t^7.98 + 8*t^8.13 + t^8.2 - 5*t^8.35 + t^8.43 + t^8.5 - 3*t^8.58 + 4*t^8.73 - 2*t^8.81 + 14*t^8.96 - t^4.29/y - t^6.42/y - t^6.65/y - t^6.87/y - t^7.1/y + (3*t^7.48)/y + (3*t^7.71)/y + (4*t^7.94)/y + (3*t^8.17)/y + t^8.39/y + (2*t^8.54)/y + (6*t^8.77)/y - t^4.29*y - t^6.42*y - t^6.65*y - t^6.87*y - t^7.1*y + 3*t^7.48*y + 3*t^7.71*y + 4*t^7.94*y + 3*t^8.17*y + t^8.39*y + 2*t^8.54*y + 6*t^8.77*y | g1^6*t^2.13 + 2*g1*t^2.35 + t^2.58/g1^4 + t^2.81/g1^9 + 3*g1^4*t^3.42 + t^3.65/g1 + g1^12*t^4.25 + 4*g1^7*t^4.48 + 5*g1^2*t^4.71 + (2*t^4.94)/g1^3 + (2*t^5.17)/g1^8 + t^5.39/g1^13 + 4*g1^10*t^5.54 + t^5.62/g1^18 + 6*g1^5*t^5.77 + t^6. + g1^18*t^6.38 + 4*g1^13*t^6.61 + 11*g1^8*t^6.83 + 6*g1^3*t^7.06 + t^7.29/g1^2 + (3*t^7.52)/g1^7 + 4*g1^16*t^7.67 + (3*t^7.75)/g1^12 + 11*g1^11*t^7.9 + (2*t^7.98)/g1^17 + 8*g1^6*t^8.13 + t^8.2/g1^22 - 5*g1*t^8.35 + t^8.43/g1^27 + g1^24*t^8.5 - (3*t^8.58)/g1^4 + 4*g1^19*t^8.73 - (2*t^8.81)/g1^9 + 14*g1^14*t^8.96 - t^4.29/(g1^2*y) - (g1^4*t^6.42)/y - t^6.65/(g1*y) - t^6.87/(g1^6*y) - t^7.1/(g1^11*y) + (3*g1^7*t^7.48)/y + (3*g1^2*t^7.71)/y + (4*t^7.94)/(g1^3*y) + (3*t^8.17)/(g1^8*y) + t^8.39/(g1^13*y) + (2*g1^10*t^8.54)/y + (6*g1^5*t^8.77)/y - (t^4.29*y)/g1^2 - g1^4*t^6.42*y - (t^6.65*y)/g1 - (t^6.87*y)/g1^6 - (t^7.1*y)/g1^11 + 3*g1^7*t^7.48*y + 3*g1^2*t^7.71*y + (4*t^7.94*y)/g1^3 + (3*t^8.17*y)/g1^8 + (t^8.39*y)/g1^13 + 2*g1^10*t^8.54*y + 6*g1^5*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 56668 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_3M_6$ + $ M_7\phi_1^2$ | 0.6466 | 0.8103 | 0.7979 | [X:[1.4713], M:[0.5287, 0.9655, 1.2184, 0.7816, 0.6897, 0.7816, 1.1264], q:[0.6897, 0.7816], qb:[0.3448, 0.4368], phi:[0.4368]] | t^2.07 + 2*t^2.34 + t^2.9 + 4*t^3.38 + t^3.66 + t^4.14 + 4*t^4.41 + 4*t^4.69 + t^5.24 + 5*t^5.45 + 8*t^5.72 + t^5.79 - 2*t^6. - t^4.31/y - t^4.31*y | detail | {a: 75/116, c: 47/58, X1: 128/87, M1: 46/87, M2: 28/29, M3: 106/87, M4: 68/87, M5: 20/29, M6: 68/87, M7: 98/87, q1: 20/29, q2: 68/87, qb1: 10/29, qb2: 38/87, phi1: 38/87} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46953 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.641 | 0.7974 | 0.8038 | [X:[1.4972], M:[0.5028, 0.9322, 1.2147, 0.7853, 0.7119], q:[0.7119, 0.7853], qb:[0.3559, 0.4294], phi:[0.4294]] | t^2.14 + t^2.36 + t^2.58 + t^2.8 + 3*t^3.42 + 2*t^3.64 + t^4.27 + 3*t^4.49 + 3*t^4.71 + t^4.93 + t^5.15 + t^5.37 + 4*t^5.56 + t^5.59 + 4*t^5.78 + t^6. - t^4.29/y - t^4.29*y | detail |