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 |
|---|---|---|---|---|---|---|---|---|---|
| 2858 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6q_1\tilde{q}_1$ | 0.7076 | 0.9351 | 0.7567 | [X:[], M:[1.1397, 0.7206, 0.6801, 0.6801, 0.8199, 0.8199], q:[0.75, 0.4301], qb:[0.4301, 0.3897], phi:[0.5]] | [X:[], M:[[2], [-4], [-1], [-1], [1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_2$, $ M_5$, $ M_6$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_2M_4$, $ M_2^2$, $ M_3M_5$, $ M_4M_5$, $ M_3M_6$, $ M_4M_6$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_2M_5$, $ M_2M_6$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_1M_4$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2q_1\tilde{q}_2$, $ M_1M_5$, $ M_1M_6$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -5 | 2*t^2.04 + t^2.16 + 4*t^2.46 + t^3. + 2*t^3.42 + 6*t^4.08 + 2*t^4.2 + t^4.32 + 8*t^4.5 + 4*t^4.62 + 10*t^4.92 + 2*t^5.04 + t^5.16 + 8*t^5.46 + 2*t^5.58 + 6*t^5.88 - 5*t^6. + 8*t^6.12 + 6*t^6.24 + 2*t^6.36 + t^6.49 + 20*t^6.54 + 8*t^6.66 + 4*t^6.78 + 2*t^6.84 + 16*t^6.96 + 12*t^7.08 + 2*t^7.2 + t^7.32 + 16*t^7.38 + 12*t^7.5 + 4*t^7.62 + 2*t^7.74 + 18*t^7.92 - 8*t^8.04 + 10*t^8.16 + 8*t^8.28 + 12*t^8.34 + 6*t^8.4 - 20*t^8.46 + 2*t^8.53 + 24*t^8.58 + t^8.65 + 20*t^8.7 + 8*t^8.82 + 2*t^8.88 + 4*t^8.94 - t^4.5/y - (2*t^6.54)/y - t^6.66/y - (2*t^6.96)/y + (2*t^7.08)/y + (2*t^7.2)/y + (8*t^7.5)/y + (4*t^7.62)/y + (5*t^7.92)/y + (4*t^8.04)/y + t^8.16/y + t^8.34/y + (10*t^8.46)/y - t^8.58/y - (2*t^8.7)/y - t^8.82/y + (8*t^8.88)/y - t^4.5*y - 2*t^6.54*y - t^6.66*y - 2*t^6.96*y + 2*t^7.08*y + 2*t^7.2*y + 8*t^7.5*y + 4*t^7.62*y + 5*t^7.92*y + 4*t^8.04*y + t^8.16*y + t^8.34*y + 10*t^8.46*y - t^8.58*y - 2*t^8.7*y - t^8.82*y + 8*t^8.88*y | (2*t^2.04)/g1 + t^2.16/g1^4 + 4*g1*t^2.46 + t^3. + 2*g1^2*t^3.42 + (6*t^4.08)/g1^2 + (2*t^4.2)/g1^5 + t^4.32/g1^8 + 8*t^4.5 + (4*t^4.62)/g1^3 + 10*g1^2*t^4.92 + (2*t^5.04)/g1 + t^5.16/g1^4 + 8*g1*t^5.46 + (2*t^5.58)/g1^2 + 6*g1^3*t^5.88 - 5*t^6. + (8*t^6.12)/g1^3 + (6*t^6.24)/g1^6 + (2*t^6.36)/g1^9 + t^6.49/g1^12 + (20*t^6.54)/g1 + (8*t^6.66)/g1^4 + (4*t^6.78)/g1^7 + 2*g1^4*t^6.84 + 16*g1*t^6.96 + (12*t^7.08)/g1^2 + (2*t^7.2)/g1^5 + t^7.32/g1^8 + 16*g1^3*t^7.38 + 12*t^7.5 + (4*t^7.62)/g1^3 + (2*t^7.74)/g1^6 + 18*g1^2*t^7.92 - (8*t^8.04)/g1 + (10*t^8.16)/g1^4 + (8*t^8.28)/g1^7 + 12*g1^4*t^8.34 + (6*t^8.4)/g1^10 - 20*g1*t^8.46 + (2*t^8.53)/g1^13 + (24*t^8.58)/g1^2 + t^8.65/g1^16 + (20*t^8.7)/g1^5 + (8*t^8.82)/g1^8 + 2*g1^3*t^8.88 + (4*t^8.94)/g1^11 - t^4.5/y - (2*t^6.54)/(g1*y) - t^6.66/(g1^4*y) - (2*g1*t^6.96)/y + (2*t^7.08)/(g1^2*y) + (2*t^7.2)/(g1^5*y) + (8*t^7.5)/y + (4*t^7.62)/(g1^3*y) + (5*g1^2*t^7.92)/y + (4*t^8.04)/(g1*y) + t^8.16/(g1^4*y) + (g1^4*t^8.34)/y + (10*g1*t^8.46)/y - t^8.58/(g1^2*y) - (2*t^8.7)/(g1^5*y) - t^8.82/(g1^8*y) + (8*g1^3*t^8.88)/y - t^4.5*y - (2*t^6.54*y)/g1 - (t^6.66*y)/g1^4 - 2*g1*t^6.96*y + (2*t^7.08*y)/g1^2 + (2*t^7.2*y)/g1^5 + 8*t^7.5*y + (4*t^7.62*y)/g1^3 + 5*g1^2*t^7.92*y + (4*t^8.04*y)/g1 + (t^8.16*y)/g1^4 + g1^4*t^8.34*y + 10*g1*t^8.46*y - (t^8.58*y)/g1^2 - (2*t^8.7*y)/g1^5 - (t^8.82*y)/g1^8 + 8*g1^3*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 3423 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1q_2$ + $ M_6q_1\tilde{q}_1$ + $ M_1M_7$ | 0.7205 | 0.9585 | 0.7517 | [X:[], M:[1.154, 0.692, 0.673, 0.673, 0.827, 0.827, 0.846], q:[0.75, 0.423], qb:[0.423, 0.404], phi:[0.5]] | 2*t^2.02 + t^2.08 + 4*t^2.48 + t^2.54 + t^3. + t^3.46 + 6*t^4.04 + 2*t^4.09 + t^4.15 + 8*t^4.5 + 6*t^4.56 + t^4.61 + 10*t^4.96 + 6*t^5.02 + 2*t^5.08 + 6*t^5.48 + 2*t^5.54 + 2*t^5.94 - 4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1838 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^4$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_3\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.6925 | 0.9093 | 0.7615 | [X:[], M:[1.1463, 0.7074, 0.6769, 0.6769, 0.8231], q:[0.75, 0.4269], qb:[0.4269, 0.3963], phi:[0.5]] | 2*t^2.03 + t^2.12 + 3*t^2.47 + t^3. + 2*t^3.44 + t^3.53 + 6*t^4.06 + 2*t^4.15 + t^4.24 + 6*t^4.5 + 3*t^4.59 + 6*t^4.94 + 2*t^5.03 + t^5.12 + 7*t^5.47 + 4*t^5.56 + t^5.65 + 4*t^5.91 - 2*t^6. - t^4.5/y - t^4.5*y | detail |