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 |
|---|---|---|---|---|---|---|---|---|---|
| 1836 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ + $ M_6q_2\tilde{q}_1$ | 0.6898 | 0.8768 | 0.7867 | [X:[], M:[0.6887, 0.72, 0.6783, 0.6991, 1.28, 0.6887], q:[0.8252, 0.8252], qb:[0.4861, 0.4652], phi:[0.3496]] | [X:[], M:[[-7, -1], [2, -10], [-10, 2], [-4, -4], [-2, 10], [-7, -1]], 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_1$, $ M_6$, $ M_4$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_3^2$, $ M_1M_3$, $ M_3M_6$, $ M_1^2$, $ M_3M_4$, $ M_1M_6$, $ M_6^2$, $ M_3\phi_1^2$, $ M_1M_4$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_3M_5$, $ M_1M_5$, $ M_5M_6$, $ M_3q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_4M_5$, $ M_5\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_1q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$ | . | -3 | t^2.03 + 2*t^2.07 + 2*t^2.1 + t^2.85 + t^3.84 + 2*t^3.87 + t^4.07 + 2*t^4.1 + 5*t^4.13 + 4*t^4.16 + 3*t^4.19 + t^4.89 + 2*t^4.92 + 3*t^4.95 + t^5.71 + t^5.88 + 4*t^5.91 + 5*t^5.94 + 2*t^5.97 - 3*t^6. - 2*t^6.03 - t^6.06 + t^6.1 + 2*t^6.14 + 5*t^6.17 + 8*t^6.2 + 9*t^6.23 + 6*t^6.26 + 4*t^6.29 + t^6.69 + 2*t^6.73 + t^6.92 + 2*t^6.95 + 5*t^6.99 + 4*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^7.84 - t^7.87 + t^7.91 + 4*t^7.94 + 8*t^7.97 + 10*t^8. + 2*t^8.03 - 6*t^8.07 - 10*t^8.1 - 6*t^8.13 + t^8.14 - 2*t^8.16 + 2*t^8.17 + 5*t^8.2 + 8*t^8.23 + 14*t^8.26 + 14*t^8.3 + 13*t^8.33 + 8*t^8.36 + 5*t^8.39 + t^8.56 + t^8.73 + 4*t^8.76 + 5*t^8.79 + 2*t^8.82 - 5*t^8.85 - 4*t^8.89 - 2*t^8.92 + t^8.96 + 2*t^8.99 - t^4.05/y - t^6.08/y - (2*t^6.11)/y - (2*t^6.15)/y + (2*t^7.1)/y + (3*t^7.13)/y + (4*t^7.16)/y + t^7.19/y + t^7.89/y + (2*t^7.92)/y + (4*t^7.95)/y + (2*t^7.98)/y + t^8.01/y - t^8.12/y - (2*t^8.15)/y - (5*t^8.18)/y - (4*t^8.21)/y - (3*t^8.24)/y + t^8.88/y + (4*t^8.91)/y + (6*t^8.94)/y + (4*t^8.97)/y - t^4.05*y - t^6.08*y - 2*t^6.11*y - 2*t^6.15*y + 2*t^7.1*y + 3*t^7.13*y + 4*t^7.16*y + t^7.19*y + t^7.89*y + 2*t^7.92*y + 4*t^7.95*y + 2*t^7.98*y + t^8.01*y - t^8.12*y - 2*t^8.15*y - 5*t^8.18*y - 4*t^8.21*y - 3*t^8.24*y + t^8.88*y + 4*t^8.91*y + 6*t^8.94*y + 4*t^8.97*y | (g2^2*t^2.03)/g1^10 + (2*t^2.07)/(g1^7*g2) + (2*t^2.1)/(g1^4*g2^4) + g1^6*g2^6*t^2.85 + (g2^10*t^3.84)/g1^2 + 2*g1*g2^7*t^3.87 + (g2^4*t^4.07)/g1^20 + (2*g2*t^4.1)/g1^17 + (5*t^4.13)/(g1^14*g2^2) + (4*t^4.16)/(g1^11*g2^5) + (3*t^4.19)/(g1^8*g2^8) + (g2^8*t^4.89)/g1^4 + (2*g2^5*t^4.92)/g1 + 3*g1^2*g2^2*t^4.95 + g1^12*g2^12*t^5.71 + (g2^12*t^5.88)/g1^12 + (4*g2^9*t^5.91)/g1^9 + (5*g2^6*t^5.94)/g1^6 + (2*g2^3*t^5.97)/g1^3 - 3*t^6. - (2*g1^3*t^6.03)/g2^3 - (g1^6*t^6.06)/g2^6 + (g2^6*t^6.1)/g1^30 + (2*g2^3*t^6.14)/g1^27 + (5*t^6.17)/g1^24 + (8*t^6.2)/(g1^21*g2^3) + (9*t^6.23)/(g1^18*g2^6) + (6*t^6.26)/(g1^15*g2^9) + (4*t^6.29)/(g1^12*g2^12) + g1^4*g2^16*t^6.69 + 2*g1^7*g2^13*t^6.73 + (g2^10*t^6.92)/g1^14 + (2*g2^7*t^6.95)/g1^11 + (5*g2^4*t^6.99)/g1^8 + (4*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*g1^11*g2^5*t^7.84 - g1^14*g2^2*t^7.87 + (g2^14*t^7.91)/g1^22 + (4*g2^11*t^7.94)/g1^19 + (8*g2^8*t^7.97)/g1^16 + (10*g2^5*t^8.)/g1^13 + (2*g2^2*t^8.03)/g1^10 - (6*t^8.07)/(g1^7*g2) - (10*t^8.1)/(g1^4*g2^4) - (6*t^8.13)/(g1*g2^7) + (g2^8*t^8.14)/g1^40 - (2*g1^2*t^8.16)/g2^10 + (2*g2^5*t^8.17)/g1^37 + (5*g2^2*t^8.2)/g1^34 + (8*t^8.23)/(g1^31*g2) + (14*t^8.26)/(g1^28*g2^4) + (14*t^8.3)/(g1^25*g2^7) + (13*t^8.33)/(g1^22*g2^10) + (8*t^8.36)/(g1^19*g2^13) + (5*t^8.39)/(g1^16*g2^16) + g1^18*g2^18*t^8.56 + (g2^18*t^8.73)/g1^6 + (4*g2^15*t^8.76)/g1^3 + 5*g2^12*t^8.79 + 2*g1^3*g2^9*t^8.82 - 5*g1^6*g2^6*t^8.85 - 4*g1^9*g2^3*t^8.89 - 2*g1^12*t^8.92 + (g2^12*t^8.96)/g1^24 + (2*g2^9*t^8.99)/g1^21 - t^4.05/(g1^2*g2^2*y) - t^6.08/(g1^12*y) - (2*t^6.11)/(g1^9*g2^3*y) - (2*t^6.15)/(g1^6*g2^6*y) + (2*g2*t^7.1)/(g1^17*y) + (3*t^7.13)/(g1^14*g2^2*y) + (4*t^7.16)/(g1^11*g2^5*y) + t^7.19/(g1^8*g2^8*y) + (g2^8*t^7.89)/(g1^4*y) + (2*g2^5*t^7.92)/(g1*y) + (4*g1^2*g2^2*t^7.95)/y + (2*g1^5*t^7.98)/(g2*y) + (g1^8*t^8.01)/(g2^4*y) - (g2^2*t^8.12)/(g1^22*y) - (2*t^8.15)/(g1^19*g2*y) - (5*t^8.18)/(g1^16*g2^4*y) - (4*t^8.21)/(g1^13*g2^7*y) - (3*t^8.24)/(g1^10*g2^10*y) + (g2^12*t^8.88)/(g1^12*y) + (4*g2^9*t^8.91)/(g1^9*y) + (6*g2^6*t^8.94)/(g1^6*y) + (4*g2^3*t^8.97)/(g1^3*y) - (t^4.05*y)/(g1^2*g2^2) - (t^6.08*y)/g1^12 - (2*t^6.11*y)/(g1^9*g2^3) - (2*t^6.15*y)/(g1^6*g2^6) + (2*g2*t^7.1*y)/g1^17 + (3*t^7.13*y)/(g1^14*g2^2) + (4*t^7.16*y)/(g1^11*g2^5) + (t^7.19*y)/(g1^8*g2^8) + (g2^8*t^7.89*y)/g1^4 + (2*g2^5*t^7.92*y)/g1 + 4*g1^2*g2^2*t^7.95*y + (2*g1^5*t^7.98*y)/g2 + (g1^8*t^8.01*y)/g2^4 - (g2^2*t^8.12*y)/g1^22 - (2*t^8.15*y)/(g1^19*g2) - (5*t^8.18*y)/(g1^16*g2^4) - (4*t^8.21*y)/(g1^13*g2^7) - (3*t^8.24*y)/(g1^10*g2^10) + (g2^12*t^8.88*y)/g1^12 + (4*g2^9*t^8.91*y)/g1^9 + (6*g2^6*t^8.94*y)/g1^6 + (4*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 389 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2M_5$ | 0.6691 | 0.8364 | 0.8 | [X:[], M:[0.6923, 0.7194, 0.6833, 0.7014, 1.2806], q:[0.8247, 0.8247], qb:[0.483, 0.4649], phi:[0.3507]] | 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^4.05/y - t^4.05*y | detail |