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 |
|---|---|---|---|---|---|---|---|---|---|
| 46535 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ | 0.6253 | 0.8097 | 0.7722 | [X:[], M:[1.0, 0.9511, 0.7439, 0.7439, 1.0489], q:[0.7561, 0.2439], qb:[0.5244, 0.5244], phi:[0.4878]] | [X:[], M:[[0, 0], [-8, -8], [-5, 3], [3, -5], [8, 8]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ M_5$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_3^2$, $ M_4q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_4\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_3\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_1M_4$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1M_3$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_5$, $ M_3M_5$, $ M_5q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$, $ M_1\phi_1^2$ | . | -5 | 2*t^2.23 + 2*t^2.3 + 2*t^2.93 + t^3. + t^3.15 + 2*t^3.84 + 3*t^4.46 + 4*t^4.54 + 6*t^4.61 + 2*t^5.16 + 6*t^5.23 + 2*t^5.3 + 2*t^5.38 + 2*t^5.45 + 3*t^5.85 + t^5.93 - 5*t^6. + 5*t^6.07 + 4*t^6.15 + t^6.29 - 2*t^6.62 + 2*t^6.7 + 6*t^6.77 + 10*t^6.84 + 8*t^6.91 + 2*t^6.99 + 2*t^7.39 + 3*t^7.46 + 11*t^7.54 + 5*t^7.61 + 4*t^7.68 + 6*t^7.76 + 2*t^8.09 + 6*t^8.16 - 8*t^8.23 - 6*t^8.3 + 6*t^8.38 + 10*t^8.45 + 2*t^8.52 + 2*t^8.6 + 4*t^8.78 - 10*t^8.93 - t^4.46/y - (2*t^6.7)/y - t^7.39/y + t^7.46/y + (5*t^7.54)/y + t^7.61/y + (4*t^8.16)/y + (8*t^8.23)/y + (2*t^8.3)/y + (2*t^8.38)/y + (2*t^8.45)/y + t^8.85/y - t^8.93/y - t^4.46*y - 2*t^6.7*y - t^7.39*y + t^7.46*y + 5*t^7.54*y + t^7.61*y + 4*t^8.16*y + 8*t^8.23*y + 2*t^8.3*y + 2*t^8.38*y + 2*t^8.45*y + t^8.85*y - t^8.93*y | (g1^3*t^2.23)/g2^5 + (g2^3*t^2.23)/g1^5 + (g1^7*t^2.3)/g2 + (g2^7*t^2.3)/g1 + (2*t^2.93)/(g1^4*g2^4) + t^3. + g1^8*g2^8*t^3.15 + g1^9*g2*t^3.84 + g1*g2^9*t^3.84 + (g1^6*t^4.46)/g2^10 + t^4.46/(g1^2*g2^2) + (g2^6*t^4.46)/g1^10 + (g1^10*t^4.54)/g2^6 + 2*g1^2*g2^2*t^4.54 + (g2^10*t^4.54)/g1^6 + (2*g1^14*t^4.61)/g2^2 + 2*g1^6*g2^6*t^4.61 + (2*g2^14*t^4.61)/g1^2 + t^5.16/(g1*g2^9) + t^5.16/(g1^9*g2) + (3*g1^3*t^5.23)/g2^5 + (3*g2^3*t^5.23)/g1^5 + (g1^7*t^5.3)/g2 + (g2^7*t^5.3)/g1 + g1^11*g2^3*t^5.38 + g1^3*g2^11*t^5.38 + g1^15*g2^7*t^5.45 + g1^7*g2^15*t^5.45 + (3*t^5.85)/(g1^8*g2^8) + t^5.93/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.07)/g2^4 + 3*g1^4*g2^4*t^6.07 + (g2^12*t^6.07)/g1^4 + g1^16*t^6.15 + 2*g1^8*g2^8*t^6.15 + g2^16*t^6.15 + g1^16*g2^16*t^6.29 - t^6.62/(g1^3*g2^11) - t^6.62/(g1^11*g2^3) + (g1^9*t^6.7)/g2^15 + (g2^9*t^6.7)/g1^15 + (g1^13*t^6.77)/g2^11 + (2*g1^5*t^6.77)/g2^3 + (2*g2^5*t^6.77)/g1^3 + (g2^13*t^6.77)/g1^11 + (2*g1^17*t^6.84)/g2^7 + 3*g1^9*g2*t^6.84 + 3*g1*g2^9*t^6.84 + (2*g2^17*t^6.84)/g1^7 + (2*g1^21*t^6.91)/g2^3 + 2*g1^13*g2^5*t^6.91 + 2*g1^5*g2^13*t^6.91 + (2*g2^21*t^6.91)/g1^3 + g1^17*g2^9*t^6.99 + g1^9*g2^17*t^6.99 + (g1^2*t^7.39)/g2^14 + (g2^2*t^7.39)/g1^14 + (g1^6*t^7.46)/g2^10 + t^7.46/(g1^2*g2^2) + (g2^6*t^7.46)/g1^10 + (4*g1^10*t^7.54)/g2^6 + 3*g1^2*g2^2*t^7.54 + (4*g2^10*t^7.54)/g1^6 + (2*g1^14*t^7.61)/g2^2 + g1^6*g2^6*t^7.61 + (2*g2^14*t^7.61)/g1^2 + g1^18*g2^2*t^7.68 + 2*g1^10*g2^10*t^7.68 + g1^2*g2^18*t^7.68 + 2*g1^22*g2^6*t^7.76 + 2*g1^14*g2^14*t^7.76 + 2*g1^6*g2^22*t^7.76 + t^8.09/(g1^5*g2^13) + t^8.09/(g1^13*g2^5) + (3*t^8.16)/(g1*g2^9) + (3*t^8.16)/(g1^9*g2) - (g1^11*t^8.23)/g2^13 - (3*g1^3*t^8.23)/g2^5 - (3*g2^3*t^8.23)/g1^5 - (g2^11*t^8.23)/g1^13 - (3*g1^7*t^8.3)/g2 - (3*g2^7*t^8.3)/g1 + (g1^19*t^8.38)/g2^5 + 2*g1^11*g2^3*t^8.38 + 2*g1^3*g2^11*t^8.38 + (g2^19*t^8.38)/g1^5 + (2*g1^23*t^8.45)/g2 + 3*g1^15*g2^7*t^8.45 + 3*g1^7*g2^15*t^8.45 + (2*g2^23*t^8.45)/g1 + g1^19*g2^11*t^8.52 + g1^11*g2^19*t^8.52 + g1^23*g2^15*t^8.6 + g1^15*g2^23*t^8.6 + (4*t^8.78)/(g1^12*g2^12) + (g1^12*t^8.93)/g2^20 - (2*g1^4*t^8.93)/g2^12 - (8*t^8.93)/(g1^4*g2^4) - (2*g2^4*t^8.93)/g1^12 + (g2^12*t^8.93)/g1^20 - t^4.46/(g1^2*g2^2*y) - (g1*t^6.7)/(g2^7*y) - (g2*t^6.7)/(g1^7*y) - t^7.39/(g1^6*g2^6*y) + t^7.46/(g1^2*g2^2*y) + (g1^10*t^7.54)/(g2^6*y) + (3*g1^2*g2^2*t^7.54)/y + (g2^10*t^7.54)/(g1^6*y) + (g1^6*g2^6*t^7.61)/y + (2*t^8.16)/(g1*g2^9*y) + (2*t^8.16)/(g1^9*g2*y) + (4*g1^3*t^8.23)/(g2^5*y) + (4*g2^3*t^8.23)/(g1^5*y) + (g1^7*t^8.3)/(g2*y) + (g2^7*t^8.3)/(g1*y) + (g1^11*g2^3*t^8.38)/y + (g1^3*g2^11*t^8.38)/y + (g1^15*g2^7*t^8.45)/y + (g1^7*g2^15*t^8.45)/y + t^8.85/(g1^8*g2^8*y) - (g1^4*t^8.93)/(g2^12*y) + t^8.93/(g1^4*g2^4*y) - (g2^4*t^8.93)/(g1^12*y) - (t^4.46*y)/(g1^2*g2^2) - (g1*t^6.7*y)/g2^7 - (g2*t^6.7*y)/g1^7 - (t^7.39*y)/(g1^6*g2^6) + (t^7.46*y)/(g1^2*g2^2) + (g1^10*t^7.54*y)/g2^6 + 3*g1^2*g2^2*t^7.54*y + (g2^10*t^7.54*y)/g1^6 + g1^6*g2^6*t^7.61*y + (2*t^8.16*y)/(g1*g2^9) + (2*t^8.16*y)/(g1^9*g2) + (4*g1^3*t^8.23*y)/g2^5 + (4*g2^3*t^8.23*y)/g1^5 + (g1^7*t^8.3*y)/g2 + (g2^7*t^8.3*y)/g1 + g1^11*g2^3*t^8.38*y + g1^3*g2^11*t^8.38*y + g1^15*g2^7*t^8.45*y + g1^7*g2^15*t^8.45*y + (t^8.85*y)/(g1^8*g2^8) - (g1^4*t^8.93*y)/g2^12 + (t^8.93*y)/(g1^4*g2^4) - (g2^4*t^8.93*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47081 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_4M_5$ | 0.605 | 0.7784 | 0.7772 | [X:[], M:[1.0, 0.7751, 0.6687, 0.7751, 1.2249], q:[0.7781, 0.2219], qb:[0.6657, 0.5592], phi:[0.4438]] | t^2.01 + t^2.33 + t^2.34 + 3*t^2.66 + t^3. + t^3.67 + 2*t^4.01 + 2*t^4.33 + t^4.35 + t^4.65 + 3*t^4.67 + 2*t^4.69 + 2*t^4.99 + 5*t^5.01 + 8*t^5.33 + t^5.34 + 2*t^5.66 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
| 47258 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_5q_2\tilde{q}_1$ | 0.6175 | 0.7947 | 0.7771 | [X:[], M:[1.0, 0.8344, 0.707, 0.7516, 1.1656], q:[0.7707, 0.2293], qb:[0.6051, 0.5605], phi:[0.4586]] | t^2.12 + t^2.25 + t^2.37 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.99 + t^4.13 + t^4.24 + t^4.38 + t^4.49 + t^4.51 + 2*t^4.62 + 2*t^4.74 + t^4.76 + 3*t^4.87 + 3*t^5.01 + 3*t^5.12 + 3*t^5.25 + t^5.37 + 4*t^5.5 + t^5.62 + 2*t^5.75 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 47275 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1^2$ | 0.624 | 0.8111 | 0.7693 | [X:[], M:[1.0, 0.9959, 0.7495, 0.7495, 1.0041, 1.0021], q:[0.7505, 0.2495], qb:[0.5021, 0.5021], phi:[0.499]] | 4*t^2.25 + t^2.99 + t^3. + 2*t^3.01 + 2*t^3.76 + 7*t^4.5 + 6*t^4.51 + 8*t^5.25 + 4*t^5.26 + 2*t^5.27 + t^5.99 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46298 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ | 0.6335 | 0.821 | 0.7716 | [X:[], M:[1.0, 0.8714, 0.7339, 0.7339], q:[0.7661, 0.2339], qb:[0.5643, 0.5643], phi:[0.4678]] | 2*t^2.2 + 2*t^2.39 + t^2.61 + 2*t^2.81 + t^3. + 2*t^3.99 + 3*t^4.4 + 4*t^4.6 + 6*t^4.79 + 2*t^4.82 + 4*t^5.01 + 6*t^5.2 + t^5.23 + 2*t^5.39 + 2*t^5.42 + 4*t^5.61 + t^5.81 - 5*t^6. - t^4.4/y - t^4.4*y | detail |