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 |
|---|---|---|---|---|---|---|---|---|---|
| 3466 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_7$ | 0.624 | 0.8116 | 0.7689 | [X:[], M:[1.0, 0.9996, 1.0009, 0.9996, 0.7503, 0.7508, 0.9991], q:[0.7499, 0.2501], qb:[0.4993, 0.4998], phi:[0.5002]] | [X:[], M:[[0], [4], [-8], [4], [-3], [-7], [8]], q:[[1], [-1]], qb:[[6], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_1$, $ M_2$, $ M_4$, $ M_7$, $ M_2$, $ M_4$, $ M_7$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ M_5M_6$, $ M_5^2$, $ M_6q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1M_5$, $ M_2M_6$, $ M_4M_6$, $ M_2M_5$, $ M_4M_5$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_1$, $ M_7^2$ | $M_1M_2$, $ M_2^2$, $ M_1M_4$, $ M_2M_4$, $ M_4^2$, $ M_1M_7$, $ M_2M_7$, $ M_4M_7$, $ M_6q_1\tilde{q}_2$, $ M_5\phi_1q_2\tilde{q}_2$, $ M_6\phi_1q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ \phi_1q_2^2\tilde{q}_2^2$ | 8 | 4*t^2.25 + 4*t^3. + 2*t^3.75 + 13*t^4.5 + 14*t^5.25 + t^5.99 + 8*t^6. + 24*t^6.75 + 2*t^6.76 + 2*t^7.49 + 29*t^7.5 + 4*t^8.24 + 10*t^8.25 + 13*t^8.99 - t^4.5/y - (2*t^6.75)/y + (6*t^7.5)/y + (18*t^8.25)/y - t^4.5*y - 2*t^6.75*y + 6*t^7.5*y + 18*t^8.25*y | t^2.25/g1^7 + t^2.25/g1^3 + g1*t^2.25 + g1^5*t^2.25 + t^3. + 2*g1^4*t^3. + g1^8*t^3. + t^3.75/g1 + g1^3*t^3.75 + t^4.5/g1^14 + t^4.5/g1^10 + (2*t^4.5)/g1^6 + (2*t^4.5)/g1^2 + 3*g1^2*t^4.5 + 2*g1^6*t^4.5 + 2*g1^10*t^4.5 + (2*t^5.25)/g1^3 + 4*g1*t^5.25 + 4*g1^5*t^5.25 + 3*g1^9*t^5.25 + g1^13*t^5.25 + g1^16*t^5.99 - t^6. + t^6./g1^8 + 2*g1^4*t^6. + 4*g1^8*t^6. + 2*g1^12*t^6. + (2*t^6.75)/g1^13 + (2*t^6.75)/g1^9 + (2*t^6.75)/g1^5 + (3*t^6.75)/g1 + 5*g1^3*t^6.75 + 5*g1^7*t^6.75 + 3*g1^11*t^6.75 + 2*g1^15*t^6.75 + t^6.76/g1^21 + t^6.76/g1^17 + 2*g1^18*t^7.49 + t^7.5/g1^10 + (2*t^7.5)/g1^6 + (3*t^7.5)/g1^2 + 4*g1^2*t^7.5 + 7*g1^6*t^7.5 + 7*g1^10*t^7.5 + 5*g1^14*t^7.5 + 3*g1^17*t^8.24 + g1^21*t^8.24 + t^8.25/g1^15 - (3*t^8.25)/g1^7 - (4*t^8.25)/g1^3 - g1*t^8.25 + 3*g1^5*t^8.25 + 7*g1^9*t^8.25 + 7*g1^13*t^8.25 + 7*g1^16*t^8.99 + 5*g1^20*t^8.99 + g1^24*t^8.99 - t^4.5/(g1^2*y) - t^6.75/(g1^9*y) - t^6.75/(g1^5*y) + t^7.5/(g1^10*y) + (2*t^7.5)/(g1^6*y) + (2*t^7.5)/(g1^2*y) + (g1^6*t^7.5)/y + t^8.25/(g1^7*y) + (3*t^8.25)/(g1^3*y) + (5*g1*t^8.25)/y + (5*g1^5*t^8.25)/y + (3*g1^9*t^8.25)/y + (g1^13*t^8.25)/y - (t^4.5*y)/g1^2 - (t^6.75*y)/g1^9 - (t^6.75*y)/g1^5 + (t^7.5*y)/g1^10 + (2*t^7.5*y)/g1^6 + (2*t^7.5*y)/g1^2 + g1^6*t^7.5*y + (t^8.25*y)/g1^7 + (3*t^8.25*y)/g1^3 + 5*g1*t^8.25*y + 5*g1^5*t^8.25*y + 3*g1^9*t^8.25*y + g1^13*t^8.25*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 |
|---|---|---|---|---|---|---|---|---|
| 5144 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_3M_7$ + $ M_8q_1\tilde{q}_2$ | 0.6431 | 0.8459 | 0.7603 | [X:[], M:[1.0, 1.0041, 0.9918, 1.0041, 0.7469, 0.7429, 1.0082, 0.7469], q:[0.751, 0.249], qb:[0.5061, 0.502], phi:[0.498]] | t^2.23 + 2*t^2.24 + t^2.25 + t^2.27 + t^3. + 2*t^3.01 + t^3.02 + t^3.75 + t^4.46 + 2*t^4.47 + 4*t^4.48 + 3*t^4.49 + 4*t^4.51 + 2*t^4.52 + 2*t^4.53 + 3*t^5.24 + 6*t^5.25 + 5*t^5.27 + 3*t^5.28 + t^5.29 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2893 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6266 | 0.8141 | 0.7697 | [X:[], M:[1.0, 1.0275, 0.945, 1.0275, 0.7294, 0.7019], q:[0.7569, 0.2431], qb:[0.5413, 0.5138], phi:[0.4862]] | t^2.11 + t^2.19 + t^2.27 + t^2.35 + t^2.83 + t^3. + 2*t^3.08 + t^3.73 + t^3.81 + t^4.21 + t^4.29 + 2*t^4.38 + 2*t^4.46 + 3*t^4.54 + 2*t^4.62 + 2*t^4.71 + t^4.94 + t^5.02 + t^5.11 + 3*t^5.19 + 3*t^5.27 + 3*t^5.35 + 2*t^5.44 + t^5.67 + 2*t^5.83 + 2*t^5.92 - t^6. - t^4.46/y - t^4.46*y | detail |