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 |
|---|---|---|---|---|---|---|---|---|---|
| 45854 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ | 0.6487 | 0.7983 | 0.8127 | [X:[], M:[0.6881, 0.6881], q:[0.8426, 0.4693], qb:[0.4693, 0.8036], phi:[0.3538]] | [X:[], M:[[-4, -1, 1], [-1, -4, 1]], q:[[1, 1, -1], [3, 0, 0]], qb:[[0, 3, 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_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_2^2$, $ M_2\phi_1q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2\phi_1\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2^2$, $ \phi_1^3q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$ | -2 | 2*t^2.06 + t^2.12 + t^2.82 + 2*t^3.82 + 3*t^3.88 + 3*t^4.13 + 2*t^4.19 + t^4.25 + 2*t^4.88 + 2*t^4.94 + t^5.63 + 4*t^5.88 + 6*t^5.94 - 2*t^6. - 2*t^6.06 + 4*t^6.19 + 3*t^6.25 + 2*t^6.31 + t^6.37 + 2*t^6.63 + 3*t^6.69 + 3*t^6.94 + 2*t^7. - 2*t^7.06 - 2*t^7.12 + 3*t^7.64 + 6*t^7.7 + 3*t^7.75 - 2*t^7.81 + 6*t^7.95 + 9*t^8.01 - 4*t^8.06 - 5*t^8.12 - 2*t^8.18 + 5*t^8.26 + 4*t^8.32 + 3*t^8.37 + 2*t^8.43 + t^8.45 + t^8.49 + 4*t^8.7 + 6*t^8.76 - 3*t^8.82 - 4*t^8.87 - t^4.06/y - (2*t^6.13)/y - t^6.18/y + t^7.13/y + (2*t^7.19)/y + (2*t^7.88)/y + (2*t^7.94)/y + (2*t^8.)/y - (3*t^8.19)/y - (2*t^8.25)/y - t^8.31/y + (4*t^8.88)/y + (8*t^8.94)/y - t^4.06*y - 2*t^6.13*y - t^6.18*y + t^7.13*y + 2*t^7.19*y + 2*t^7.88*y + 2*t^7.94*y + 2*t^8.*y - 3*t^8.19*y - 2*t^8.25*y - t^8.31*y + 4*t^8.88*y + 8*t^8.94*y | (g3*t^2.06)/(g1*g2^4) + (g3*t^2.06)/(g1^4*g2) + t^2.12/(g1^2*g2^2) + g1^3*g2^3*t^2.82 + g1^3*g3*t^3.82 + g2^3*g3*t^3.82 + (g1^5*t^3.88)/g2 + g1^2*g2^2*t^3.88 + (g2^5*t^3.88)/g1 + (g3^2*t^4.13)/(g1^2*g2^8) + (g3^2*t^4.13)/(g1^5*g2^5) + (g3^2*t^4.13)/(g1^8*g2^2) + (g3*t^4.19)/(g1^3*g2^6) + (g3*t^4.19)/(g1^6*g2^3) + t^4.25/(g1^4*g2^4) + (g1^2*g3*t^4.88)/g2 + (g2^2*g3*t^4.88)/g1 + 2*g1*g2*t^4.94 + g1^6*g2^6*t^5.63 + (g1^2*g3^2*t^5.88)/g2^4 + (2*g3^2*t^5.88)/(g1*g2) + (g2^2*g3^2*t^5.88)/g1^4 + (g1^4*g3*t^5.94)/g2^5 + (2*g1*g3*t^5.94)/g2^2 + (2*g2*g3*t^5.94)/g1^2 + (g2^4*g3*t^5.94)/g1^5 - 2*t^6. - (g1^2*t^6.06)/(g2*g3) - (g2^2*t^6.06)/(g1*g3) + (g3^3*t^6.19)/(g1^3*g2^12) + (g3^3*t^6.19)/(g1^6*g2^9) + (g3^3*t^6.19)/(g1^9*g2^6) + (g3^3*t^6.19)/(g1^12*g2^3) + (g3^2*t^6.25)/(g1^4*g2^10) + (g3^2*t^6.25)/(g1^7*g2^7) + (g3^2*t^6.25)/(g1^10*g2^4) + (g3*t^6.31)/(g1^5*g2^8) + (g3*t^6.31)/(g1^8*g2^5) + t^6.37/(g1^6*g2^6) + g1^6*g2^3*g3*t^6.63 + g1^3*g2^6*g3*t^6.63 + g1^8*g2^2*t^6.69 + g1^5*g2^5*t^6.69 + g1^2*g2^8*t^6.69 + (g1*g3^2*t^6.94)/g2^5 + (g3^2*t^6.94)/(g1^2*g2^2) + (g2*g3^2*t^6.94)/g1^5 + (g3*t^7.)/g1^3 + (g3*t^7.)/g2^3 - (g1^2*t^7.06)/g2^4 - (g2^2*t^7.06)/g1^4 - (g1*t^7.12)/(g2^2*g3) - (g2*t^7.12)/(g1^2*g3) + g1^6*g3^2*t^7.64 + g1^3*g2^3*g3^2*t^7.64 + g2^6*g3^2*t^7.64 + (g1^8*g3*t^7.7)/g2 + 2*g1^5*g2^2*g3*t^7.7 + 2*g1^2*g2^5*g3*t^7.7 + (g2^8*g3*t^7.7)/g1 + (g1^10*t^7.75)/g2^2 + g1^4*g2^4*t^7.75 + (g2^10*t^7.75)/g1^2 - (g1^6*g2^3*t^7.81)/g3 - (g1^3*g2^6*t^7.81)/g3 + (g1*g3^3*t^7.95)/g2^8 + (2*g3^3*t^7.95)/(g1^2*g2^5) + (2*g3^3*t^7.95)/(g1^5*g2^2) + (g2*g3^3*t^7.95)/g1^8 + (2*g3^2*t^8.01)/g1^6 + (g1^3*g3^2*t^8.01)/g2^9 + (2*g3^2*t^8.01)/g2^6 + (3*g3^2*t^8.01)/(g1^3*g2^3) + (g2^3*g3^2*t^8.01)/g1^9 - (2*g3*t^8.06)/(g1*g2^4) - (2*g3*t^8.06)/(g1^4*g2) - (g1*t^8.12)/g2^5 - (3*t^8.12)/(g1^2*g2^2) - (g2*t^8.12)/g1^5 - t^8.18/(g1^3*g3) - t^8.18/(g2^3*g3) + (g3^4*t^8.26)/(g1^4*g2^16) + (g3^4*t^8.26)/(g1^7*g2^13) + (g3^4*t^8.26)/(g1^10*g2^10) + (g3^4*t^8.26)/(g1^13*g2^7) + (g3^4*t^8.26)/(g1^16*g2^4) + (g3^3*t^8.32)/(g1^5*g2^14) + (g3^3*t^8.32)/(g1^8*g2^11) + (g3^3*t^8.32)/(g1^11*g2^8) + (g3^3*t^8.32)/(g1^14*g2^5) + (g3^2*t^8.37)/(g1^6*g2^12) + (g3^2*t^8.37)/(g1^9*g2^9) + (g3^2*t^8.37)/(g1^12*g2^6) + (g3*t^8.43)/(g1^7*g2^10) + (g3*t^8.43)/(g1^10*g2^7) + g1^9*g2^9*t^8.45 + t^8.49/(g1^8*g2^8) + (g1^5*g3^2*t^8.7)/g2 + 2*g1^2*g2^2*g3^2*t^8.7 + (g2^5*g3^2*t^8.7)/g1 + (g1^7*g3*t^8.76)/g2^2 + 2*g1^4*g2*g3*t^8.76 + 2*g1*g2^4*g3*t^8.76 + (g2^7*g3*t^8.76)/g1^2 - 3*g1^3*g2^3*t^8.82 - (2*g1^5*g2^2*t^8.87)/g3 - (2*g1^2*g2^5*t^8.87)/g3 - t^4.06/(g1*g2*y) - (g3*t^6.13)/(g1^2*g2^5*y) - (g3*t^6.13)/(g1^5*g2^2*y) - t^6.18/(g1^3*g2^3*y) + (g3^2*t^7.13)/(g1^5*g2^5*y) + (g3*t^7.19)/(g1^3*g2^6*y) + (g3*t^7.19)/(g1^6*g2^3*y) + (g1^2*g3*t^7.88)/(g2*y) + (g2^2*g3*t^7.88)/(g1*y) + (2*g1*g2*t^7.94)/y + (g1^3*t^8.)/(g3*y) + (g2^3*t^8.)/(g3*y) - (g3^2*t^8.19)/(g1^3*g2^9*y) - (g3^2*t^8.19)/(g1^6*g2^6*y) - (g3^2*t^8.19)/(g1^9*g2^3*y) - (g3*t^8.25)/(g1^4*g2^7*y) - (g3*t^8.25)/(g1^7*g2^4*y) - t^8.31/(g1^5*g2^5*y) + (g1^2*g3^2*t^8.88)/(g2^4*y) + (2*g3^2*t^8.88)/(g1*g2*y) + (g2^2*g3^2*t^8.88)/(g1^4*y) + (g1^4*g3*t^8.94)/(g2^5*y) + (3*g1*g3*t^8.94)/(g2^2*y) + (3*g2*g3*t^8.94)/(g1^2*y) + (g2^4*g3*t^8.94)/(g1^5*y) - (t^4.06*y)/(g1*g2) - (g3*t^6.13*y)/(g1^2*g2^5) - (g3*t^6.13*y)/(g1^5*g2^2) - (t^6.18*y)/(g1^3*g2^3) + (g3^2*t^7.13*y)/(g1^5*g2^5) + (g3*t^7.19*y)/(g1^3*g2^6) + (g3*t^7.19*y)/(g1^6*g2^3) + (g1^2*g3*t^7.88*y)/g2 + (g2^2*g3*t^7.88*y)/g1 + 2*g1*g2*t^7.94*y + (g1^3*t^8.*y)/g3 + (g2^3*t^8.*y)/g3 - (g3^2*t^8.19*y)/(g1^3*g2^9) - (g3^2*t^8.19*y)/(g1^6*g2^6) - (g3^2*t^8.19*y)/(g1^9*g2^3) - (g3*t^8.25*y)/(g1^4*g2^7) - (g3*t^8.25*y)/(g1^7*g2^4) - (t^8.31*y)/(g1^5*g2^5) + (g1^2*g3^2*t^8.88*y)/g2^4 + (2*g3^2*t^8.88*y)/(g1*g2) + (g2^2*g3^2*t^8.88*y)/g1^4 + (g1^4*g3*t^8.94*y)/g2^5 + (3*g1*g3*t^8.94*y)/g2^2 + (3*g2*g3*t^8.94*y)/g1^2 + (g2^4*g3*t^8.94*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45932 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ | 0.57 | 0.6943 | 0.8211 | [X:[], M:[1.0, 1.0], q:[0.5963, 0.4037], qb:[0.4037, 1.0062], phi:[0.3975]] | t^2.39 + t^2.42 + 2*t^3. + 3*t^3.61 + 2*t^4.23 + t^4.77 + 2*t^4.81 + t^4.84 + 2*t^5.42 + t^6. - t^4.19/y - t^4.19*y | detail | |
| 45884 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ | 0.6486 | 0.7977 | 0.8132 | [X:[], M:[0.6859, 0.6962], q:[0.8388, 0.4753], qb:[0.4649, 0.8079], phi:[0.3533]] | t^2.06 + t^2.09 + t^2.12 + t^2.82 + t^3.82 + 2*t^3.85 + t^3.88 + t^3.91 + t^4.12 + t^4.15 + 2*t^4.18 + t^4.21 + t^4.24 + t^4.88 + t^4.91 + 2*t^4.94 + t^5.64 + t^5.88 + 3*t^5.91 + 3*t^5.94 + 2*t^5.97 - t^6. - t^4.06/y - t^4.06*y | detail | |
| 45912 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_3\phi_1^2$ | 0.6284 | 0.7608 | 0.826 | [X:[], M:[0.692, 0.692, 1.2853], q:[0.844, 0.464], qb:[0.464, 0.7986], phi:[0.3574]] | 2*t^2.08 + t^2.78 + 2*t^3.79 + 4*t^3.86 + 3*t^4.15 + 2*t^4.86 + t^4.93 + t^5.57 + 4*t^5.86 + 6*t^5.93 - 5*t^6. - t^4.07/y - t^4.07*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 |