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 |
|---|---|---|---|---|---|---|---|---|---|
| 45949 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6691 | 0.8364 | 0.8 | [X:[], M:[0.7014, 0.6923, 0.6833], q:[0.8247, 0.8247], qb:[0.483, 0.4649], phi:[0.3507]] | [X:[], M:[[-4, -4], [-7, -1], [-10, 2]], q:[[1, 1], [1, 1]], qb:[[6, 0], [0, 6]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_3^2$, $ M_2M_3$, $ M_2^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_3q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_2q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ M_3q_1\tilde{q}_1$, $ M_1q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$ | . | -2 | t^2.05 + t^2.08 + 2*t^2.1 + t^2.84 + t^3.84 + 2*t^3.87 + t^3.92 + t^4.1 + t^4.13 + 3*t^4.15 + 2*t^4.18 + 3*t^4.21 + t^4.89 + t^4.92 + 3*t^4.95 + t^5.69 + t^5.89 + 3*t^5.92 + 3*t^5.95 + 3*t^5.97 - 2*t^6. - t^6.05 + t^6.15 + t^6.18 + 3*t^6.2 + 3*t^6.23 + 5*t^6.26 + 3*t^6.29 + 4*t^6.31 + t^6.69 + 2*t^6.71 + t^6.77 + t^6.94 + t^6.97 + 3*t^7. + t^7.02 + 3*t^7.05 - 2*t^7.08 - t^7.11 + t^7.68 + 2*t^7.71 + 3*t^7.74 + 2*t^7.79 - 2*t^7.82 + t^7.94 + 3*t^7.97 + 4*t^8. + 6*t^8.02 + t^8.05 - 6*t^8.1 - 2*t^8.13 - 2*t^8.16 + t^8.2 + t^8.23 + 3*t^8.25 + 3*t^8.28 + 6*t^8.31 + 5*t^8.33 + 7*t^8.36 + 4*t^8.39 + 5*t^8.42 + t^8.53 + t^8.74 + 3*t^8.76 + 3*t^8.79 + 3*t^8.82 - 4*t^8.84 - t^8.87 - 2*t^8.9 + t^8.99 - t^4.05/y - t^6.1/y - t^6.13/y - (2*t^6.16)/y + t^7.13/y + (2*t^7.15)/y + (2*t^7.18)/y + t^7.21/y + t^7.89/y + t^7.92/y + (4*t^7.95)/y + t^7.98/y + t^8./y - t^8.15/y - t^8.18/y - (3*t^8.21)/y - (2*t^8.23)/y - (3*t^8.26)/y + t^8.89/y + (3*t^8.92)/y + (4*t^8.95)/y + (5*t^8.97)/y - t^4.05*y - t^6.1*y - t^6.13*y - 2*t^6.16*y + t^7.13*y + 2*t^7.15*y + 2*t^7.18*y + t^7.21*y + t^7.89*y + t^7.92*y + 4*t^7.95*y + t^7.98*y + t^8.*y - t^8.15*y - t^8.18*y - 3*t^8.21*y - 2*t^8.23*y - 3*t^8.26*y + t^8.89*y + 3*t^8.92*y + 4*t^8.95*y + 5*t^8.97*y | (g2^2*t^2.05)/g1^10 + t^2.08/(g1^7*g2) + (2*t^2.1)/(g1^4*g2^4) + g1^6*g2^6*t^2.84 + (g2^10*t^3.84)/g1^2 + 2*g1*g2^7*t^3.87 + g1^7*g2*t^3.92 + (g2^4*t^4.1)/g1^20 + (g2*t^4.13)/g1^17 + (3*t^4.15)/(g1^14*g2^2) + (2*t^4.18)/(g1^11*g2^5) + (3*t^4.21)/(g1^8*g2^8) + (g2^8*t^4.89)/g1^4 + (g2^5*t^4.92)/g1 + 3*g1^2*g2^2*t^4.95 + g1^12*g2^12*t^5.69 + (g2^12*t^5.89)/g1^12 + (3*g2^9*t^5.92)/g1^9 + (3*g2^6*t^5.95)/g1^6 + (3*g2^3*t^5.97)/g1^3 - 2*t^6. - (g1^6*t^6.05)/g2^6 + (g2^6*t^6.15)/g1^30 + (g2^3*t^6.18)/g1^27 + (3*t^6.2)/g1^24 + (3*t^6.23)/(g1^21*g2^3) + (5*t^6.26)/(g1^18*g2^6) + (3*t^6.29)/(g1^15*g2^9) + (4*t^6.31)/(g1^12*g2^12) + g1^4*g2^16*t^6.69 + 2*g1^7*g2^13*t^6.71 + g1^13*g2^7*t^6.77 + (g2^10*t^6.94)/g1^14 + (g2^7*t^6.97)/g1^11 + (3*g2^4*t^7.)/g1^8 + (g2*t^7.02)/g1^5 + (3*t^7.05)/(g1^2*g2^2) - (2*g1*t^7.08)/g2^5 - (g1^4*t^7.11)/g2^8 + (g2^20*t^7.68)/g1^4 + (2*g2^17*t^7.71)/g1 + 3*g1^2*g2^14*t^7.74 + 2*g1^8*g2^8*t^7.79 - 2*g1^11*g2^5*t^7.82 + (g2^14*t^7.94)/g1^22 + (3*g2^11*t^7.97)/g1^19 + (4*g2^8*t^8.)/g1^16 + (6*g2^5*t^8.02)/g1^13 + (g2^2*t^8.05)/g1^10 - (6*t^8.1)/(g1^4*g2^4) - (2*t^8.13)/(g1*g2^7) - (2*g1^2*t^8.16)/g2^10 + (g2^8*t^8.2)/g1^40 + (g2^5*t^8.23)/g1^37 + (3*g2^2*t^8.25)/g1^34 + (3*t^8.28)/(g1^31*g2) + (6*t^8.31)/(g1^28*g2^4) + (5*t^8.33)/(g1^25*g2^7) + (7*t^8.36)/(g1^22*g2^10) + (4*t^8.39)/(g1^19*g2^13) + (5*t^8.42)/(g1^16*g2^16) + g1^18*g2^18*t^8.53 + (g2^18*t^8.74)/g1^6 + (3*g2^15*t^8.76)/g1^3 + 3*g2^12*t^8.79 + 3*g1^3*g2^9*t^8.82 - 4*g1^6*g2^6*t^8.84 - g1^9*g2^3*t^8.87 - 2*g1^12*t^8.9 + (g2^12*t^8.99)/g1^24 - t^4.05/(g1^2*g2^2*y) - t^6.1/(g1^12*y) - t^6.13/(g1^9*g2^3*y) - (2*t^6.16)/(g1^6*g2^6*y) + (g2*t^7.13)/(g1^17*y) + (2*t^7.15)/(g1^14*g2^2*y) + (2*t^7.18)/(g1^11*g2^5*y) + t^7.21/(g1^8*g2^8*y) + (g2^8*t^7.89)/(g1^4*y) + (g2^5*t^7.92)/(g1*y) + (4*g1^2*g2^2*t^7.95)/y + (g1^5*t^7.98)/(g2*y) + (g1^8*t^8.)/(g2^4*y) - (g2^2*t^8.15)/(g1^22*y) - t^8.18/(g1^19*g2*y) - (3*t^8.21)/(g1^16*g2^4*y) - (2*t^8.23)/(g1^13*g2^7*y) - (3*t^8.26)/(g1^10*g2^10*y) + (g2^12*t^8.89)/(g1^12*y) + (3*g2^9*t^8.92)/(g1^9*y) + (4*g2^6*t^8.95)/(g1^6*y) + (5*g2^3*t^8.97)/(g1^3*y) - (t^4.05*y)/(g1^2*g2^2) - (t^6.1*y)/g1^12 - (t^6.13*y)/(g1^9*g2^3) - (2*t^6.16*y)/(g1^6*g2^6) + (g2*t^7.13*y)/g1^17 + (2*t^7.15*y)/(g1^14*g2^2) + (2*t^7.18*y)/(g1^11*g2^5) + (t^7.21*y)/(g1^8*g2^8) + (g2^8*t^7.89*y)/g1^4 + (g2^5*t^7.92*y)/g1 + 4*g1^2*g2^2*t^7.95*y + (g1^5*t^7.98*y)/g2 + (g1^8*t^8.*y)/g2^4 - (g2^2*t^8.15*y)/g1^22 - (t^8.18*y)/(g1^19*g2) - (3*t^8.21*y)/(g1^16*g2^4) - (2*t^8.23*y)/(g1^13*g2^7) - (3*t^8.26*y)/(g1^10*g2^10) + (g2^12*t^8.89*y)/g1^12 + (3*g2^9*t^8.92*y)/g1^9 + (4*g2^6*t^8.95*y)/g1^6 + (5*g2^3*t^8.97*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46297 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_3$ | 0.5775 | 0.715 | 0.8077 | [X:[], M:[0.8, 0.9333, 1.0667], q:[0.8, 0.8], qb:[0.2667, 0.5333], phi:[0.4]] | 3*t^2.4 + t^2.8 + 2*t^3.2 + 2*t^4. + t^4.4 + 7*t^4.8 + 2*t^5.2 + 5*t^5.6 - t^6. - t^4.2/y - t^4.2*y | detail | {a: 231/400, c: 143/200, M1: 4/5, M2: 14/15, M3: 16/15, q1: 4/5, q2: 4/5, qb1: 4/15, qb2: 8/15, phi1: 2/5} |
| 46286 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6895 | 0.8744 | 0.7885 | [X:[], M:[0.695, 0.6931, 0.6912, 0.6987], q:[0.8263, 0.8263], qb:[0.4806, 0.4769], phi:[0.3475]] | t^2.07 + 3*t^2.08 + t^2.1 + t^2.87 + 2*t^3.91 + t^3.92 + 2*t^4.15 + 5*t^4.16 + 4*t^4.17 + 3*t^4.18 + t^4.19 + 2*t^4.95 + 3*t^4.96 + t^4.97 + t^5.75 + 2*t^5.98 + 4*t^5.99 - 2*t^6. - t^4.04/y - t^4.04*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45885 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ | 0.6484 | 0.7957 | 0.8149 | [X:[], M:[0.7032, 0.6984], q:[0.8242, 0.8242], qb:[0.4774, 0.4679], phi:[0.3516]] | t^2.1 + 2*t^2.11 + t^2.84 + t^3.86 + 2*t^3.88 + t^3.9 + t^3.92 + t^4.19 + 2*t^4.2 + 3*t^4.22 + t^4.93 + 3*t^4.95 + t^5.67 + t^5.96 + 3*t^5.97 + 2*t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail |