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 |
|---|---|---|---|---|---|---|---|---|---|
| 2023 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ | 0.6365 | 0.8356 | 0.7616 | [X:[], M:[0.9626, 1.1121, 0.9626, 0.8879, 0.7033, 0.778], q:[0.7407, 0.2967], qb:[0.4813, 0.4065], phi:[0.5187]] | [X:[], M:[[4], [-12], [4], [12], [5], [-3]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ M_6$, $ q_2\tilde{q}_1$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_1M_6$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$ | $M_4\phi_1q_2^2$, $ q_1q_2\tilde{q}_1^2$ | -1 | 2*t^2.11 + 2*t^2.33 + t^2.66 + 2*t^2.89 + t^3.34 + t^3.44 + t^3.67 + t^4. + 4*t^4.22 + 5*t^4.44 + 3*t^4.67 + 2*t^4.77 + 6*t^5. + 4*t^5.22 + t^5.33 + t^5.45 + 4*t^5.55 + t^5.67 + 5*t^5.78 - t^6. + 3*t^6.11 - t^6.22 + 9*t^6.33 + 8*t^6.55 + t^6.66 + t^6.67 + 5*t^6.78 + 6*t^6.88 + 2*t^7. + 12*t^7.11 - t^7.23 + 9*t^7.33 + 3*t^7.44 + 3*t^7.56 + 10*t^7.66 - t^7.78 + 11*t^7.89 + 2*t^7.99 + t^8. + 8*t^8.21 - 8*t^8.33 + 18*t^8.44 - 4*t^8.56 + 14*t^8.66 + 3*t^8.77 + t^8.78 - t^8.89 + 13*t^8.99 - t^4.56/y - t^6.67/y - t^6.89/y + t^7.22/y + (3*t^7.44)/y + (2*t^7.67)/y + (2*t^7.77)/y + (6*t^8.)/y + (5*t^8.22)/y + (3*t^8.45)/y + (4*t^8.55)/y + (2*t^8.67)/y + (4*t^8.78)/y - t^4.56*y - t^6.67*y - t^6.89*y + t^7.22*y + 3*t^7.44*y + 2*t^7.67*y + 2*t^7.77*y + 6*t^8.*y + 5*t^8.22*y + 3*t^8.45*y + 4*t^8.55*y + 2*t^8.67*y + 4*t^8.78*y | 2*g1^5*t^2.11 + (2*t^2.33)/g1^3 + g1^12*t^2.66 + 2*g1^4*t^2.89 + t^3.34/g1^12 + g1^11*t^3.44 + g1^3*t^3.67 + g1^18*t^4. + 4*g1^10*t^4.22 + 5*g1^2*t^4.44 + (3*t^4.67)/g1^6 + 2*g1^17*t^4.77 + 6*g1^9*t^5. + 4*g1*t^5.22 + g1^24*t^5.33 + t^5.45/g1^7 + 4*g1^16*t^5.55 + t^5.67/g1^15 + 5*g1^8*t^5.78 - t^6. + 3*g1^23*t^6.11 - t^6.22/g1^8 + 9*g1^15*t^6.33 + 8*g1^7*t^6.55 + g1^30*t^6.66 + t^6.67/g1^24 + (5*t^6.78)/g1 + 6*g1^22*t^6.88 + (2*t^7.)/g1^9 + 12*g1^14*t^7.11 - t^7.23/g1^17 + 9*g1^6*t^7.33 + 3*g1^29*t^7.44 + (3*t^7.56)/g1^2 + 10*g1^21*t^7.66 - t^7.78/g1^10 + 11*g1^13*t^7.89 + 2*g1^36*t^7.99 + t^8./g1^18 + 8*g1^28*t^8.21 - (8*t^8.33)/g1^3 + 18*g1^20*t^8.44 - (4*t^8.56)/g1^11 + 14*g1^12*t^8.66 + 3*g1^35*t^8.77 + t^8.78/g1^19 - g1^4*t^8.89 + 13*g1^27*t^8.99 - t^4.56/(g1^2*y) - (g1^3*t^6.67)/y - t^6.89/(g1^5*y) + (g1^10*t^7.22)/y + (3*g1^2*t^7.44)/y + (2*t^7.67)/(g1^6*y) + (2*g1^17*t^7.77)/y + (6*g1^9*t^8.)/y + (5*g1*t^8.22)/y + (3*t^8.45)/(g1^7*y) + (4*g1^16*t^8.55)/y + (2*t^8.67)/(g1^15*y) + (4*g1^8*t^8.78)/y - (t^4.56*y)/g1^2 - g1^3*t^6.67*y - (t^6.89*y)/g1^5 + g1^10*t^7.22*y + 3*g1^2*t^7.44*y + (2*t^7.67*y)/g1^6 + 2*g1^17*t^7.77*y + 6*g1^9*t^8.*y + 5*g1*t^8.22*y + (3*t^8.45*y)/g1^7 + 4*g1^16*t^8.55*y + (2*t^8.67*y)/g1^15 + 4*g1^8*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 3084 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_4M_5$ | 0.5588 | 0.7279 | 0.7677 | [X:[], M:[1.0588, 0.8235, 1.0588, 1.1765, 0.8235, 0.7059], q:[0.7647, 0.1765], qb:[0.5294, 0.6471], phi:[0.4706]] | 2*t^2.12 + 3*t^2.47 + 2*t^3.18 + t^3.53 + t^3.88 + 4*t^4.24 + 6*t^4.59 + 6*t^4.94 + 5*t^5.29 + 5*t^5.65 - t^4.41/y - t^4.41*y | detail | {a: 21963/39304, c: 14305/19652, M1: 18/17, M2: 14/17, M3: 18/17, M4: 20/17, M5: 14/17, M6: 12/17, q1: 13/17, q2: 3/17, qb1: 9/17, qb2: 11/17, phi1: 8/17} |
| 3087 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_1$ | 0.6542 | 0.8667 | 0.7548 | [X:[], M:[0.9647, 1.1058, 0.9647, 0.8942, 0.7059, 0.7765, 0.7765], q:[0.7412, 0.2941], qb:[0.4824, 0.4118], phi:[0.5176]] | 2*t^2.12 + 3*t^2.33 + t^2.68 + 2*t^2.89 + t^3.32 + t^3.46 + t^4.02 + 4*t^4.24 + 7*t^4.45 + 6*t^4.66 + 2*t^4.8 + 7*t^5.01 + 6*t^5.22 + t^5.36 + t^5.44 + 4*t^5.58 + 2*t^5.65 + 4*t^5.79 - 3*t^6. - t^4.55/y - t^4.55*y | detail | |
| 3086 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ | 0.6504 | 0.8574 | 0.7586 | [X:[], M:[0.9729, 1.0814, 0.9729, 0.9186, 0.7161, 0.7703, 0.8246], q:[0.7432, 0.2839], qb:[0.4864, 0.4322], phi:[0.5136]] | 2*t^2.15 + 2*t^2.31 + t^2.47 + t^2.76 + 2*t^2.92 + t^3.24 + t^3.69 + t^4.13 + 4*t^4.3 + 5*t^4.46 + 5*t^4.62 + 2*t^4.78 + 2*t^4.9 + t^4.95 + 6*t^5.07 + 5*t^5.23 + 3*t^5.39 + t^5.51 + t^5.56 + 2*t^5.67 + t^5.72 + 3*t^5.84 - t^6. - t^4.54/y - t^4.54*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 |
|---|---|---|---|---|---|---|---|---|---|
| 856 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6409 | 0.8444 | 0.759 | [X:[], M:[0.9489, 1.1534, 0.9489, 0.8466, 0.7372, 0.7372], q:[0.7372, 0.3139], qb:[0.4233, 0.4233], phi:[0.5256]] | 4*t^2.21 + t^2.54 + 2*t^2.85 + t^3.46 + 2*t^3.48 + 3*t^4.12 + 10*t^4.42 + 4*t^4.75 + 8*t^5.06 + t^5.08 + 2*t^5.39 + 2*t^5.67 + 10*t^5.69 - 5*t^6. - t^4.58/y - t^4.58*y | detail |