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 |
|---|---|---|---|---|---|---|---|---|---|
| 887 | 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$ + $ 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]] | [X:[], M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [0, 1], [1, 0]], 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 |
|---|---|---|---|---|
| $M_6$, $ 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$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2^2$, $ M_1M_6$, $ M_3M_6$, $ M_1M_4$, $ M_3M_4$, $ M_6q_2\tilde{q}_2$, $ 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_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_4M_5$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_6q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_1M_5$, $ M_3M_5$, $ M_3q_1\tilde{q}_2$, $ M_6\phi_1\tilde{q}_2^2$, $ 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^2.01 + 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. + 2*t^6.04 - t^6.08 + 2*t^6.11 + 2*t^6.19 + 2*t^6.21 + 2*t^6.26 + t^6.29 + 4*t^6.44 + 5*t^6.51 + 4*t^6.59 + 2*t^6.66 + 3*t^6.8 + 3*t^6.84 + 5*t^6.91 + t^6.99 + 2*t^7.03 + t^7.06 + t^7.18 + 2*t^7.2 + 4*t^7.24 + 2*t^7.31 + 4*t^7.42 + t^7.46 + 3*t^7.5 + 2*t^7.54 + 3*t^7.58 + t^7.6 + 7*t^7.82 + 6*t^7.9 + t^7.94 + 3*t^7.97 - 3*t^8.01 + 3*t^8.05 - 5*t^8.09 + 3*t^8.13 - t^8.16 + 3*t^8.2 + 6*t^8.22 + 3*t^8.28 + 4*t^8.3 + t^8.34 + 3*t^8.35 + 2*t^8.37 - 5*t^8.41 + 4*t^8.45 - 4*t^8.49 + 5*t^8.53 - t^8.56 + 3*t^8.6 + 3*t^8.62 + 4*t^8.68 + 2*t^8.7 + 2*t^8.75 + t^8.77 + 2*t^8.81 + 6*t^8.85 + 2*t^8.89 + 7*t^8.92 - t^4.5/y - t^6.51/y - t^6.59/y - t^6.91/y + (2*t^7.1)/y + (2*t^7.42)/y + (3*t^7.5)/y + t^7.58/y + t^7.82/y + t^7.9/y + t^8.01/y + (2*t^8.09)/y + (5*t^8.41)/y + (4*t^8.49)/y - t^8.68/y + (5*t^8.81)/y + (3*t^8.89)/y + t^8.92/y - t^4.5*y - t^6.51*y - t^6.59*y - t^6.91*y + 2*t^7.1*y + 2*t^7.42*y + 3*t^7.5*y + t^7.58*y + t^7.82*y + t^7.9*y + t^8.01*y + 2*t^8.09*y + 5*t^8.41*y + 4*t^8.49*y - t^8.68*y + 5*t^8.81*y + 3*t^8.89*y + t^8.92*y | g1*t^2.01 + t^2.09/(g1*g2) + 2*g1*g2*t^2.41 + t^2.49/g1 + t^3. + 2*g2*t^3.4 + g1*t^3.51 + g2^2*t^3.8 + 2*g1^2*t^4.03 + (2*t^4.1)/g2 + (2*t^4.18)/(g1^2*g2^2) + 2*g1^2*g2*t^4.42 + 3*t^4.5 + t^4.58/(g1^2*g2) + 3*g1^2*g2^2*t^4.82 + 2*g2*t^4.9 + t^4.97/g1^2 + g1*t^5.01 + t^5.09/(g1*g2) + 4*g1*g2*t^5.41 + (3*t^5.49)/g1 + g1^2*t^5.53 + t^5.6/g2 + 4*g1*g2^2*t^5.81 + (2*g2*t^5.89)/g1 + g1^2*g2*t^5.92 - 2*t^6. + 2*g1^3*t^6.04 - t^6.08/(g1^2*g2) + (2*g1*t^6.11)/g2 + (2*t^6.19)/(g1*g2^2) + 2*g1*g2^3*t^6.21 + (2*t^6.26)/(g1^3*g2^3) + (g2^2*t^6.29)/g1 + 4*g1^3*g2*t^6.44 + 5*g1*t^6.51 + (4*t^6.59)/(g1*g2) + (2*t^6.66)/(g1^3*g2^2) + 3*g2^2*t^6.8 + 3*g1^3*g2^2*t^6.84 + 5*g1*g2*t^6.91 + t^6.99/g1 + 2*g1^2*t^7.03 + t^7.06/(g1^3*g2) + t^7.18/(g1^2*g2^2) + 2*g2^3*t^7.2 + 4*g1^3*g2^3*t^7.24 + 2*g1*g2^2*t^7.31 + 4*g1^2*g2*t^7.42 + t^7.46/g1^3 + 3*t^7.5 + 2*g1^3*t^7.54 + (3*t^7.58)/(g1^2*g2) + g2^4*t^7.6 + 7*g1^2*g2^2*t^7.82 + 6*g2*t^7.9 + g1^3*g2*t^7.94 + (3*t^7.97)/g1^2 - 3*g1*t^8.01 + 3*g1^4*t^8.05 - (5*t^8.09)/(g1*g2) + (3*g1^2*t^8.13)/g2 - t^8.16/(g1^3*g2^2) + (3*t^8.2)/g2^2 + 6*g1^2*g2^3*t^8.22 + (3*t^8.28)/(g1^2*g2^3) + 4*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 + 4*g1^4*g2*t^8.45 - (4*t^8.49)/g1 + 5*g1^2*t^8.53 - t^8.56/(g1^3*g2) + (3*t^8.6)/g2 + 3*g1^2*g2^4*t^8.62 + (4*t^8.68)/(g1^2*g2^2) + 2*g2^3*t^8.7 + (2*t^8.75)/(g1^4*g2^3) + (g2^2*t^8.77)/g1^2 + 2*g1*g2^2*t^8.81 + 6*g1^4*g2^2*t^8.85 + (2*g2*t^8.89)/g1 + 7*g1^2*g2*t^8.92 - t^4.5/y - (g1*t^6.51)/y - t^6.59/(g1*g2*y) - (g1*g2*t^6.91)/y + (2*t^7.1)/(g2*y) + (2*g1^2*g2*t^7.42)/y + (3*t^7.5)/y + t^7.58/(g1^2*g2*y) + (g1^2*g2^2*t^7.82)/y + (g2*t^7.9)/y + (g1*t^8.01)/y + (2*t^8.09)/(g1*g2*y) + (5*g1*g2*t^8.41)/y + (4*t^8.49)/(g1*y) - t^8.68/(g1^2*g2^2*y) + (5*g1*g2^2*t^8.81)/y + (3*g2*t^8.89)/(g1*y) + (g1^2*g2*t^8.92)/y - t^4.5*y - g1*t^6.51*y - (t^6.59*y)/(g1*g2) - g1*g2*t^6.91*y + (2*t^7.1*y)/g2 + 2*g1^2*g2*t^7.42*y + 3*t^7.5*y + (t^7.58*y)/(g1^2*g2) + g1^2*g2^2*t^7.82*y + g2*t^7.9*y + g1*t^8.01*y + (2*t^8.09*y)/(g1*g2) + 5*g1*g2*t^8.41*y + (4*t^8.49*y)/g1 - (t^8.68*y)/(g1^2*g2^2) + 5*g1*g2^2*t^8.81*y + (3*g2*t^8.89*y)/g1 + g1^2*g2*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 1375 | $M_1q_1q_2$ + $ 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$ + $ M_4M_7$ | 0.6522 | 0.8336 | 0.7824 | [X:[], M:[0.7992, 1.2008, 0.7992, 0.7008, 1.1303, 0.6689, 1.2992], q:[0.75, 0.4508], qb:[0.4189, 0.3803], phi:[0.5]] | t^2.01 + 2*t^2.4 + t^2.49 + t^3. + 2*t^3.39 + t^3.51 + t^3.78 + t^3.9 + 2*t^4.01 + t^4.11 + t^4.21 + 2*t^4.4 + t^4.5 + 3*t^4.79 + 2*t^4.89 + t^4.99 + t^5.01 + 4*t^5.4 + t^5.49 + t^5.51 + 4*t^5.79 + t^5.88 + 2*t^5.9 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
| 2053 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_1$ | 0.688 | 0.8991 | 0.7652 | [X:[], M:[0.8113, 1.1887, 0.8113, 0.6887, 1.1225, 0.6887, 0.8113], q:[0.75, 0.4387], qb:[0.4387, 0.3725], phi:[0.5]] | 2*t^2.07 + 4*t^2.43 + t^3. + 2*t^3.37 + t^3.74 + 6*t^4.13 + 8*t^4.5 + 10*t^4.87 + 2*t^5.07 + 8*t^5.43 + 8*t^5.8 - 5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.5/y - t^4.5*y | detail |