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 |
|---|---|---|---|---|---|---|---|---|---|
| 45860 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ | 0.6485 | 0.7967 | 0.8141 | [X:[], M:[0.696, 0.696], q:[0.4802, 0.8238], qb:[0.8238, 0.4626], phi:[0.3524]] | [X:[], M:[[-4, -3, 1], [-3, -4, 1]], q:[[3, 3, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[-1, -1, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | $\phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1^3q_1\tilde{q}_2$ | -2 | 2*t^2.09 + t^2.11 + t^2.83 + t^3.83 + 2*t^3.86 + t^3.89 + t^3.94 + 3*t^4.18 + 2*t^4.2 + t^4.23 + 2*t^4.92 + 2*t^4.94 + t^5.66 + 2*t^5.92 + 4*t^5.95 + 2*t^5.97 - 2*t^6. + 4*t^6.26 + 3*t^6.29 + 2*t^6.32 + t^6.34 + t^6.66 + 2*t^6.69 + t^6.71 + t^6.77 + 2*t^7. + 2*t^7.03 - 2*t^7.08 - t^7.11 + t^7.67 + 2*t^7.69 + 3*t^7.72 + 2*t^7.74 + t^7.77 + t^7.88 + 3*t^8.01 + 6*t^8.03 + 3*t^8.06 - 4*t^8.09 - 2*t^8.11 - 2*t^8.14 + 5*t^8.35 + 4*t^8.38 + 3*t^8.4 + 2*t^8.43 + t^8.46 + t^8.49 + 2*t^8.75 + 4*t^8.78 + 2*t^8.8 - 3*t^8.83 - 2*t^8.85 - t^4.06/y - (2*t^6.15)/y - t^6.17/y + t^7.18/y + (2*t^7.2)/y + (2*t^7.92)/y + (2*t^7.94)/y + (2*t^7.97)/y - (3*t^8.23)/y - (2*t^8.26)/y - t^8.29/y + (2*t^8.92)/y + (5*t^8.95)/y + (4*t^8.97)/y - t^4.06*y - 2*t^6.15*y - t^6.17*y + t^7.18*y + 2*t^7.2*y + 2*t^7.92*y + 2*t^7.94*y + 2*t^7.97*y - 3*t^8.23*y - 2*t^8.26*y - t^8.29*y + 2*t^8.92*y + 5*t^8.95*y + 4*t^8.97*y | (g3*t^2.09)/(g1^3*g2^4) + (g3*t^2.09)/(g1^4*g2^3) + t^2.11/(g1^2*g2^2) + g1^3*g2^3*t^2.83 + (g3^2*t^3.83)/(g1*g2) + g1*g3*t^3.86 + g2*g3*t^3.86 + g1^2*g2^2*t^3.89 + (g1^5*g2^5*t^3.94)/g3^2 + (g3^2*t^4.18)/(g1^6*g2^8) + (g3^2*t^4.18)/(g1^7*g2^7) + (g3^2*t^4.18)/(g1^8*g2^6) + (g3*t^4.2)/(g1^5*g2^6) + (g3*t^4.2)/(g1^6*g2^5) + t^4.23/(g1^4*g2^4) + (g3*t^4.92)/g1 + (g3*t^4.92)/g2 + 2*g1*g2*t^4.94 + g1^6*g2^6*t^5.66 + (g3^3*t^5.92)/(g1^4*g2^5) + (g3^3*t^5.92)/(g1^5*g2^4) + (g3^2*t^5.95)/(g1^2*g2^4) + (2*g3^2*t^5.95)/(g1^3*g2^3) + (g3^2*t^5.95)/(g1^4*g2^2) + (g3*t^5.97)/(g1*g2^2) + (g3*t^5.97)/(g1^2*g2) - 2*t^6. + (g3^3*t^6.26)/(g1^9*g2^12) + (g3^3*t^6.26)/(g1^10*g2^11) + (g3^3*t^6.26)/(g1^11*g2^10) + (g3^3*t^6.26)/(g1^12*g2^9) + (g3^2*t^6.29)/(g1^8*g2^10) + (g3^2*t^6.29)/(g1^9*g2^9) + (g3^2*t^6.29)/(g1^10*g2^8) + (g3*t^6.32)/(g1^7*g2^8) + (g3*t^6.32)/(g1^8*g2^7) + t^6.34/(g1^6*g2^6) + g1^2*g2^2*g3^2*t^6.66 + g1^4*g2^3*g3*t^6.69 + g1^3*g2^4*g3*t^6.69 + g1^5*g2^5*t^6.71 + (g1^8*g2^8*t^6.77)/g3^2 + (g3^2*t^7.)/(g1^3*g2^5) + (g3^2*t^7.)/(g1^5*g2^3) + (g3*t^7.03)/(g1^2*g2^3) + (g3*t^7.03)/(g1^3*g2^2) - (g1*t^7.08)/g3 - (g2*t^7.08)/g3 - (g1^2*g2^2*t^7.11)/g3^2 + (g3^4*t^7.67)/(g1^2*g2^2) + (g3^3*t^7.69)/g1 + (g3^3*t^7.69)/g2 + g1^2*g3^2*t^7.72 + g1*g2*g3^2*t^7.72 + g2^2*g3^2*t^7.72 + g1^3*g2^2*g3*t^7.74 + g1^2*g2^3*g3*t^7.74 + g1^4*g2^4*t^7.77 + (g1^10*g2^10*t^7.88)/g3^4 + (g3^4*t^8.01)/(g1^7*g2^9) + (g3^4*t^8.01)/(g1^8*g2^8) + (g3^4*t^8.01)/(g1^9*g2^7) + (g3^3*t^8.03)/(g1^5*g2^8) + (2*g3^3*t^8.03)/(g1^6*g2^7) + (2*g3^3*t^8.03)/(g1^7*g2^6) + (g3^3*t^8.03)/(g1^8*g2^5) + (g3^2*t^8.06)/(g1^4*g2^6) + (g3^2*t^8.06)/(g1^5*g2^5) + (g3^2*t^8.06)/(g1^6*g2^4) - (2*g3*t^8.09)/(g1^3*g2^4) - (2*g3*t^8.09)/(g1^4*g2^3) - (2*t^8.11)/(g1^2*g2^2) - t^8.14/(g1*g3) - t^8.14/(g2*g3) + (g3^4*t^8.35)/(g1^12*g2^16) + (g3^4*t^8.35)/(g1^13*g2^15) + (g3^4*t^8.35)/(g1^14*g2^14) + (g3^4*t^8.35)/(g1^15*g2^13) + (g3^4*t^8.35)/(g1^16*g2^12) + (g3^3*t^8.38)/(g1^11*g2^14) + (g3^3*t^8.38)/(g1^12*g2^13) + (g3^3*t^8.38)/(g1^13*g2^12) + (g3^3*t^8.38)/(g1^14*g2^11) + (g3^2*t^8.4)/(g1^10*g2^12) + (g3^2*t^8.4)/(g1^11*g2^11) + (g3^2*t^8.4)/(g1^12*g2^10) + (g3*t^8.43)/(g1^9*g2^10) + (g3*t^8.43)/(g1^10*g2^9) + t^8.46/(g1^8*g2^8) + g1^9*g2^9*t^8.49 + (g3^3*t^8.75)/(g1*g2^2) + (g3^3*t^8.75)/(g1^2*g2) + 2*g3^2*t^8.78 + (g1*g3^2*t^8.78)/g2 + (g2*g3^2*t^8.78)/g1 + g1^2*g2*g3*t^8.8 + g1*g2^2*g3*t^8.8 - 3*g1^3*g2^3*t^8.83 - (g1^5*g2^4*t^8.85)/g3 - (g1^4*g2^5*t^8.85)/g3 - t^4.06/(g1*g2*y) - (g3*t^6.15)/(g1^4*g2^5*y) - (g3*t^6.15)/(g1^5*g2^4*y) - t^6.17/(g1^3*g2^3*y) + (g3^2*t^7.18)/(g1^7*g2^7*y) + (g3*t^7.2)/(g1^5*g2^6*y) + (g3*t^7.2)/(g1^6*g2^5*y) + (g3*t^7.92)/(g1*y) + (g3*t^7.92)/(g2*y) + (2*g1*g2*t^7.94)/y + (g1^3*g2^2*t^7.97)/(g3*y) + (g1^2*g2^3*t^7.97)/(g3*y) - (g3^2*t^8.23)/(g1^7*g2^9*y) - (g3^2*t^8.23)/(g1^8*g2^8*y) - (g3^2*t^8.23)/(g1^9*g2^7*y) - (g3*t^8.26)/(g1^6*g2^7*y) - (g3*t^8.26)/(g1^7*g2^6*y) - t^8.29/(g1^5*g2^5*y) + (g3^3*t^8.92)/(g1^4*g2^5*y) + (g3^3*t^8.92)/(g1^5*g2^4*y) + (g3^2*t^8.95)/(g1^2*g2^4*y) + (3*g3^2*t^8.95)/(g1^3*g2^3*y) + (g3^2*t^8.95)/(g1^4*g2^2*y) + (2*g3*t^8.97)/(g1*g2^2*y) + (2*g3*t^8.97)/(g1^2*g2*y) - (t^4.06*y)/(g1*g2) - (g3*t^6.15*y)/(g1^4*g2^5) - (g3*t^6.15*y)/(g1^5*g2^4) - (t^6.17*y)/(g1^3*g2^3) + (g3^2*t^7.18*y)/(g1^7*g2^7) + (g3*t^7.2*y)/(g1^5*g2^6) + (g3*t^7.2*y)/(g1^6*g2^5) + (g3*t^7.92*y)/g1 + (g3*t^7.92*y)/g2 + 2*g1*g2*t^7.94*y + (g1^3*g2^2*t^7.97*y)/g3 + (g1^2*g2^3*t^7.97*y)/g3 - (g3^2*t^8.23*y)/(g1^7*g2^9) - (g3^2*t^8.23*y)/(g1^8*g2^8) - (g3^2*t^8.23*y)/(g1^9*g2^7) - (g3*t^8.26*y)/(g1^6*g2^7) - (g3*t^8.26*y)/(g1^7*g2^6) - (t^8.29*y)/(g1^5*g2^5) + (g3^3*t^8.92*y)/(g1^4*g2^5) + (g3^3*t^8.92*y)/(g1^5*g2^4) + (g3^2*t^8.95*y)/(g1^2*g2^4) + (3*g3^2*t^8.95*y)/(g1^3*g2^3) + (g3^2*t^8.95*y)/(g1^4*g2^2) + (2*g3*t^8.97*y)/(g1*g2^2) + (2*g3*t^8.97*y)/(g1^2*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 45927 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6484 | 0.7955 | 0.815 | [X:[], M:[0.6966, 0.7061], q:[0.4744, 0.829], qb:[0.8195, 0.4712], phi:[0.3515]] | t^2.09 + t^2.11 + t^2.12 + t^2.84 + t^3.87 + t^3.88 + t^3.89 + 2*t^3.9 + t^4.18 + t^4.2 + t^4.21 + t^4.22 + t^4.23 + t^4.24 + t^4.93 + 2*t^4.95 + t^4.96 + t^5.67 + t^5.96 + t^5.97 + t^5.98 + 2*t^5.99 - t^6. - t^4.05/y - t^4.05*y | detail | |
| 45888 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ | 0.5427 | 0.6891 | 0.7875 | [X:[], M:[0.7357, 1.1204], q:[0.2918, 0.9724], qb:[0.5878, 0.3888], phi:[0.4398]] | t^2.04 + t^2.21 + t^2.64 + t^2.93 + t^3.07 + 2*t^3.36 + t^3.65 + 2*t^4.08 + t^4.25 + t^4.41 + 2*t^4.68 + t^4.85 + t^4.97 + t^5.11 + t^5.14 + t^5.28 + 2*t^5.4 + 2*t^5.57 + t^5.69 + 2*t^5.86 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 45886 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1q_1^2$ | 0.6693 | 0.8377 | 0.7989 | [X:[], M:[0.6919, 0.6919, 0.6801], q:[0.4841, 0.8241], qb:[0.8241, 0.4605], phi:[0.3518]] | t^2.04 + 2*t^2.08 + t^2.11 + t^2.83 + t^3.82 + 2*t^3.85 + t^3.89 + t^4.08 + 2*t^4.12 + 4*t^4.15 + 2*t^4.19 + t^4.22 + t^4.87 + 2*t^4.91 + 2*t^4.94 + t^5.67 + t^5.86 + 4*t^5.89 + 5*t^5.93 + 2*t^5.96 - 2*t^6. - t^4.06/y - t^4.06*y | detail | |
| 45915 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\phi_1^2$ | 0.6281 | 0.7586 | 0.8281 | [X:[], M:[0.7009, 0.7009, 1.2889], q:[0.4769, 0.8222], qb:[0.8222, 0.4566], phi:[0.3555]] | 2*t^2.1 + t^2.8 + t^3.81 + 2*t^3.84 + 2*t^3.87 + t^3.93 + 3*t^4.21 + 2*t^4.9 + t^4.93 + t^5.6 + 2*t^5.91 + 3*t^5.94 + 2*t^5.97 - 3*t^6. - t^4.07/y - t^4.07*y | detail | |
| 45872 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.669 | 0.8353 | 0.8009 | [X:[], M:[0.7026, 0.6881, 0.6965], q:[0.4795, 0.8179], qb:[0.8324, 0.4712], phi:[0.3498]] | t^2.06 + t^2.09 + t^2.1 + t^2.11 + t^2.85 + t^3.87 + t^3.88 + t^3.9 + t^3.93 + t^4.13 + t^4.15 + t^4.16 + t^4.17 + t^4.18 + t^4.19 + 2*t^4.2 + t^4.21 + t^4.22 + t^4.92 + t^4.94 + 2*t^4.95 + t^4.96 + t^5.7 + t^5.93 + t^5.94 + t^5.96 + 3*t^5.97 + t^5.98 + t^5.99 - 2*t^6. - t^4.05/y - t^4.05*y | detail | |
| 45876 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ \phi_1^2X_1$ | 0.4925 | 0.5698 | 0.8643 | [X:[1.5254], M:[0.7119, 0.7119], q:[0.4067, 0.8813], qb:[0.8813, 0.8813], phi:[0.2373]] | 2*t^2.14 + t^3.15 + t^3.86 + 3*t^4.27 + t^4.58 + 2*t^5.29 - 2*t^6. - t^3.71/y - (2*t^5.85)/y - t^3.71*y - 2*t^5.85*y | detail | |
| 45893 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | 0.6485 | 0.7962 | 0.8145 | [X:[], M:[0.7041, 0.6924], q:[0.4778, 0.8181], qb:[0.8298, 0.4661], phi:[0.352]] | t^2.08 + 2*t^2.11 + t^2.83 + 2*t^3.85 + 2*t^3.89 + t^3.92 + t^4.15 + 2*t^4.19 + 3*t^4.22 + t^4.91 + 3*t^4.94 + t^5.66 + 2*t^5.93 + 4*t^5.96 - t^4.06/y - t^4.06*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45838 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ | 0.7406 | 0.8961 | 0.8265 | [X:[], M:[0.7808, 0.7808], q:[0.6298, 0.5894], qb:[0.5894, 0.5527], phi:[0.4097]] | 2*t^2.34 + t^2.46 + 2*t^3.43 + t^3.54 + t^3.55 + t^4.54 + 2*t^4.66 + 3*t^4.68 + 3*t^4.77 + t^4.78 + 2*t^4.8 + 2*t^4.89 + t^4.92 + t^5.01 + 3*t^5.77 + 2*t^5.88 + t^5.99 - 6*t^6. - t^4.23/y - t^4.23*y | detail |