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 |
|---|---|---|---|---|---|---|---|---|---|
| 571 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ | 0.652 | 0.8312 | 0.7844 | [X:[], M:[0.8043, 1.1957, 0.8043, 0.6957, 1.1326], q:[0.75, 0.4457], qb:[0.4217, 0.3826], phi:[0.5]] | [X:[], M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [0, 1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ M_5$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2^2$, $ M_1M_4$, $ M_3M_4$, $ M_4q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4M_5$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_3q_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4\phi_1\tilde{q}_2^2$, $ q_1q_2\tilde{q}_2^2$, $ M_3q_1\tilde{q}_1$ | . | -2 | t^2.09 + 2*t^2.41 + t^2.48 + t^3. + 2*t^3.4 + t^3.52 + t^3.8 + t^3.98 + t^4.03 + t^4.1 + 2*t^4.17 + 2*t^4.5 + t^4.57 + 3*t^4.83 + 2*t^4.9 + t^4.97 + t^5.09 + 2*t^5.41 + 3*t^5.48 + t^5.6 + 3*t^5.81 + 2*t^5.88 + t^5.93 - 2*t^6. + 2*t^6.21 + 2*t^6.26 + t^6.28 + 2*t^6.4 + 2*t^6.44 + t^6.47 + 2*t^6.52 + 3*t^6.59 + 2*t^6.66 + 3*t^6.8 + 3*t^6.91 + t^6.98 + t^7.03 + t^7.06 - t^7.1 + t^7.17 + 2*t^7.19 + 4*t^7.24 + 2*t^7.31 + 2*t^7.38 + t^7.45 + t^7.5 + t^7.55 + 3*t^7.57 + t^7.59 - t^7.62 + t^7.78 + 3*t^7.83 + 4*t^7.9 + 4*t^7.97 + t^8.06 - 3*t^8.09 + t^8.13 + t^8.16 + t^8.2 + 4*t^8.22 + t^8.28 + 3*t^8.3 + t^8.34 + 3*t^8.35 + 2*t^8.37 - 5*t^8.41 - 2*t^8.48 - t^8.6 + 3*t^8.62 + 2*t^8.67 + 2*t^8.69 + 2*t^8.75 + t^8.77 + 2*t^8.81 + 3*t^8.86 + 4*t^8.88 + 2*t^8.93 + t^8.95 - t^4.5/y - t^6.59/y - t^6.91/y + t^7.1/y + (2*t^7.5)/y + t^7.57/y + t^7.83/y + t^7.9/y + (2*t^8.09)/y + (3*t^8.41)/y + (3*t^8.48)/y + t^8.6/y - t^8.67/y + (4*t^8.81)/y + (3*t^8.88)/y + (2*t^8.93)/y - t^4.5*y - t^6.59*y - t^6.91*y + t^7.1*y + 2*t^7.5*y + t^7.57*y + t^7.83*y + t^7.9*y + 2*t^8.09*y + 3*t^8.41*y + 3*t^8.48*y + t^8.6*y - t^8.67*y + 4*t^8.81*y + 3*t^8.88*y + 2*t^8.93*y | t^2.09/(g1*g2) + 2*g1*g2*t^2.41 + t^2.48/g1 + t^3. + 2*g2*t^3.4 + g1*t^3.52 + g2^2*t^3.8 + t^3.98/g1 + g1^2*t^4.03 + t^4.1/g2 + (2*t^4.17)/(g1^2*g2^2) + 2*t^4.5 + t^4.57/(g1^2*g2) + 3*g1^2*g2^2*t^4.83 + 2*g2*t^4.9 + t^4.97/g1^2 + t^5.09/(g1*g2) + 2*g1*g2*t^5.41 + (3*t^5.48)/g1 + t^5.6/g2 + 3*g1*g2^2*t^5.81 + (2*g2*t^5.88)/g1 + g1^2*g2*t^5.93 - 2*t^6. + 2*g1*g2^3*t^6.21 + (2*t^6.26)/(g1^3*g2^3) + (g2^2*t^6.28)/g1 + 2*g2*t^6.4 + 2*g1^3*g2*t^6.44 + t^6.47/g1^2 + 2*g1*t^6.52 + (3*t^6.59)/(g1*g2) + (2*t^6.66)/(g1^3*g2^2) + 3*g2^2*t^6.8 + 3*g1*g2*t^6.91 + t^6.98/g1 + g1^2*t^7.03 + t^7.06/(g1^3*g2) - t^7.1/g2 + t^7.17/(g1^2*g2^2) + 2*g2^3*t^7.19 + 4*g1^3*g2^3*t^7.24 + 2*g1*g2^2*t^7.31 + (2*g2*t^7.38)/g1 + t^7.45/g1^3 + t^7.5 + g1^3*t^7.55 + (3*t^7.57)/(g1^2*g2) + g2^4*t^7.59 - (g1*t^7.62)/g2 + (g2^2*t^7.78)/g1 + 3*g1^2*g2^2*t^7.83 + 4*g2*t^7.9 + (4*t^7.97)/g1^2 + g1^4*t^8.06 - (3*t^8.09)/(g1*g2) + (g1^2*t^8.13)/g2 + t^8.16/(g1^3*g2^2) + t^8.2/g2^2 + 4*g1^2*g2^3*t^8.22 + t^8.28/(g1^2*g2^3) + 3*g2^2*t^8.3 + g1^3*g2^2*t^8.34 + (3*t^8.35)/(g1^4*g2^4) + (2*g2*t^8.37)/g1^2 - 5*g1*g2*t^8.41 - (2*t^8.48)/g1 - t^8.6/g2 + 3*g1^2*g2^4*t^8.62 + (2*t^8.67)/(g1^2*g2^2) + 2*g2^3*t^8.69 + (2*t^8.75)/(g1^4*g2^3) + (g2^2*t^8.77)/g1^2 + 2*g1*g2^2*t^8.81 + 3*g1^4*g2^2*t^8.86 + (4*g2*t^8.88)/g1 + 2*g1^2*g2*t^8.93 + t^8.95/g1^3 - t^4.5/y - t^6.59/(g1*g2*y) - (g1*g2*t^6.91)/y + t^7.1/(g2*y) + (2*t^7.5)/y + t^7.57/(g1^2*g2*y) + (g1^2*g2^2*t^7.83)/y + (g2*t^7.9)/y + (2*t^8.09)/(g1*g2*y) + (3*g1*g2*t^8.41)/y + (3*t^8.48)/(g1*y) + t^8.6/(g2*y) - t^8.67/(g1^2*g2^2*y) + (4*g1*g2^2*t^8.81)/y + (3*g2*t^8.88)/(g1*y) + (2*g1^2*g2*t^8.93)/y - t^4.5*y - (t^6.59*y)/(g1*g2) - g1*g2*t^6.91*y + (t^7.1*y)/g2 + 2*t^7.5*y + (t^7.57*y)/(g1^2*g2) + g1^2*g2^2*t^7.83*y + g2*t^7.9*y + (2*t^8.09*y)/(g1*g2) + 3*g1*g2*t^8.41*y + (3*t^8.48*y)/g1 + (t^8.6*y)/g2 - (t^8.67*y)/(g1^2*g2^2) + 4*g1*g2^2*t^8.81*y + (3*g2*t^8.88*y)/g1 + 2*g1^2*g2*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 887 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6728 | 0.8725 | 0.7711 | [X:[], M:[0.804, 1.196, 0.804, 0.696, 1.1331, 0.6709], q:[0.75, 0.446], qb:[0.4209, 0.3831], phi:[0.5]] | t^2.01 + t^2.09 + 2*t^2.41 + t^2.49 + t^3. + 2*t^3.4 + t^3.51 + t^3.8 + 2*t^4.03 + 2*t^4.1 + 2*t^4.18 + 2*t^4.42 + 3*t^4.5 + t^4.58 + 3*t^4.82 + 2*t^4.9 + t^4.97 + t^5.01 + t^5.09 + 4*t^5.41 + 3*t^5.49 + t^5.53 + t^5.6 + 4*t^5.81 + 2*t^5.89 + t^5.92 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 1919 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6674 | 0.8593 | 0.7766 | [X:[], M:[0.8127, 1.1873, 0.8127, 0.6873, 1.1204, 0.8077], q:[0.75, 0.4373], qb:[0.4423, 0.3704], phi:[0.5]] | t^2.06 + 2*t^2.42 + 2*t^2.44 + t^3. + 2*t^3.36 + t^3.72 + t^3.92 + 2*t^4.12 + t^4.14 + t^4.15 + 2*t^4.48 + 2*t^4.5 + 3*t^4.85 + 4*t^4.86 + 3*t^4.88 + t^5.06 + 4*t^5.42 + 2*t^5.44 + 4*t^5.78 + 3*t^5.8 - 3*t^6. - t^4.5/y - t^4.5*y | detail | |
| 886 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_6q_2\tilde{q}_2$ | 0.6381 | 0.8072 | 0.7905 | [X:[], M:[0.7944, 1.2056, 0.7944, 0.7056, 1.1472, 1.1472], q:[0.75, 0.4556], qb:[0.3972, 0.3972], phi:[0.5]] | t^2.12 + 2*t^2.38 + t^3. + 4*t^3.44 + 2*t^3.88 + 2*t^4.06 + 2*t^4.23 + 2*t^4.5 + 3*t^4.77 + t^5.12 + 2*t^5.38 + 4*t^5.56 + 6*t^5.82 - 3*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 359 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6647 | 0.8522 | 0.78 | [X:[], M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.06 + 2*t^2.44 + 2*t^2.53 + t^3. + 2*t^3.47 + 2*t^3.94 + 2*t^4.03 + 2*t^4.11 + 2*t^4.5 + 2*t^4.58 + 3*t^4.89 + 4*t^4.97 + 4*t^5.06 + 2*t^5.44 + 4*t^5.53 + 2*t^5.92 + t^6. - t^4.5/y - t^4.5*y | detail |