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 |
|---|---|---|---|---|---|---|---|---|---|
| 55657 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_3^2$ | 0.8708 | 1.0567 | 0.8241 | [X:[], M:[0.7582], q:[0.6209, 0.6209, 0.7268], qb:[0.6209, 0.6209, 0.6039], phi:[0.5464]] | [X:[], M:[[0, -7, -7, 0]], q:[[-1, 7, 7, 0], [1, 0, 0, 0], [0, 2, 2, 1]], qb:[[0, 7, 0, 0], [0, 0, 7, 0], [0, 0, 0, 7]], phi:[[0, -4, -4, -2]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_3$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ q_3\tilde{q}_3$, $ q_3\tilde{q}_1$, $ M_1^2$, $ \phi_1\tilde{q}_3^2$, $ \phi_1\tilde{q}_1\tilde{q}_3$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$ | . | -12 | t^2.27 + t^3.28 + 4*t^3.67 + 5*t^3.73 + t^3.99 + 4*t^4.04 + t^4.55 + t^5.26 + 4*t^5.31 + 10*t^5.36 + t^5.55 - 12*t^6. - 4*t^6.05 + t^6.27 - t^6.37 + t^6.56 + t^6.82 + 4*t^6.95 + 5*t^7. + 10*t^7.35 + 16*t^7.4 + 14*t^7.45 + t^7.54 - 6*t^7.64 + 4*t^7.67 - 4*t^7.69 + 15*t^7.72 + 16*t^7.77 + t^7.83 - 2*t^8.27 - t^8.35 + t^8.38 - 4*t^8.4 + 2*t^8.54 + 4*t^8.59 + 9*t^8.64 - t^8.72 + t^8.83 + 4*t^8.94 + 15*t^8.99 - t^4.64/y - t^6.91/y + t^7.36/y - t^7.92/y + t^8.36/y + t^8.55/y + (4*t^8.95)/y - t^4.64*y - t^6.91*y + t^7.36*y - t^7.92*y + t^8.36*y + t^8.55*y + 4*t^8.95*y | t^2.27/(g2^7*g3^7) + t^3.28/(g2^8*g3^8*g4^4) + g1*g4^7*t^3.67 + g2^7*g4^7*t^3.67 + g3^7*g4^7*t^3.67 + (g2^7*g3^7*g4^7*t^3.67)/g1 + g1*g2^7*t^3.73 + g1*g3^7*t^3.73 + g2^7*g3^7*t^3.73 + (g2^14*g3^7*t^3.73)/g1 + (g2^7*g3^14*t^3.73)/g1 + g2^2*g3^2*g4^8*t^3.99 + g1*g2^2*g3^2*g4*t^4.04 + g2^9*g3^2*g4*t^4.04 + g2^2*g3^9*g4*t^4.04 + (g2^9*g3^9*g4*t^4.04)/g1 + t^4.55/(g2^14*g3^14) + (g4^12*t^5.26)/(g2^4*g3^4) + (g1*g4^5*t^5.31)/(g2^4*g3^4) + (g2^3*g4^5*t^5.31)/g3^4 + (g3^3*g4^5*t^5.31)/g2^4 + (g2^3*g3^3*g4^5*t^5.31)/g1 + (g1^2*t^5.36)/(g2^4*g3^4*g4^2) + (g1*g2^3*t^5.36)/(g3^4*g4^2) + (g2^10*t^5.36)/(g3^4*g4^2) + (g1*g3^3*t^5.36)/(g2^4*g4^2) + (2*g2^3*g3^3*t^5.36)/g4^2 + (g2^10*g3^3*t^5.36)/(g1*g4^2) + (g3^10*t^5.36)/(g2^4*g4^2) + (g2^3*g3^10*t^5.36)/(g1*g4^2) + (g2^10*g3^10*t^5.36)/(g1^2*g4^2) + t^5.55/(g2^15*g3^15*g4^4) - 4*t^6. - (g1*t^6.)/g2^7 - (g2^7*t^6.)/g1 - (g1*t^6.)/g3^7 - (g1^2*t^6.)/(g2^7*g3^7) - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g1 - (g3^7*t^6.)/g2^7 - (g2^7*g3^7*t^6.)/g1^2 - (g1*t^6.05)/g4^7 - (g2^7*t^6.05)/g4^7 - (g3^7*t^6.05)/g4^7 - (g2^7*g3^7*t^6.05)/(g1*g4^7) + (g4^8*t^6.27)/(g2^5*g3^5) - (g2^2*g3^2*t^6.37)/g4^6 + t^6.56/(g2^16*g3^16*g4^8) + t^6.82/(g2^21*g3^21) + (g1*g4^3*t^6.95)/(g2^8*g3^8) + (g4^3*t^6.95)/(g2*g3^8) + (g4^3*t^6.95)/(g2^8*g3) + (g4^3*t^6.95)/(g1*g2*g3) + (g1*t^7.)/(g2*g3^8*g4^4) + (g1*t^7.)/(g2^8*g3*g4^4) + t^7./(g2*g3*g4^4) + (g2^6*t^7.)/(g1*g3*g4^4) + (g3^6*t^7.)/(g1*g2*g4^4) + g1^2*g4^14*t^7.35 + g1*g2^7*g4^14*t^7.35 + g2^14*g4^14*t^7.35 + g1*g3^7*g4^14*t^7.35 + 2*g2^7*g3^7*g4^14*t^7.35 + (g2^14*g3^7*g4^14*t^7.35)/g1 + g3^14*g4^14*t^7.35 + (g2^7*g3^14*g4^14*t^7.35)/g1 + (g2^14*g3^14*g4^14*t^7.35)/g1^2 + g1^2*g2^7*g4^7*t^7.4 + g1*g2^14*g4^7*t^7.4 + g1^2*g3^7*g4^7*t^7.4 + 2*g1*g2^7*g3^7*g4^7*t^7.4 + 2*g2^14*g3^7*g4^7*t^7.4 + (g2^21*g3^7*g4^7*t^7.4)/g1 + g1*g3^14*g4^7*t^7.4 + 2*g2^7*g3^14*g4^7*t^7.4 + (2*g2^14*g3^14*g4^7*t^7.4)/g1 + (g2^21*g3^14*g4^7*t^7.4)/g1^2 + (g2^7*g3^21*g4^7*t^7.4)/g1 + (g2^14*g3^21*g4^7*t^7.4)/g1^2 + g1^2*g2^14*t^7.45 + g1^2*g2^7*g3^7*t^7.45 + g1*g2^14*g3^7*t^7.45 + g2^21*g3^7*t^7.45 + g1^2*g3^14*t^7.45 + g1*g2^7*g3^14*t^7.45 + 2*g2^14*g3^14*t^7.45 + (g2^21*g3^14*t^7.45)/g1 + (g2^28*g3^14*t^7.45)/g1^2 + g2^7*g3^21*t^7.45 + (g2^14*g3^21*t^7.45)/g1 + (g2^21*g3^21*t^7.45)/g1^2 + (g2^14*g3^28*t^7.45)/g1^2 + (g4^12*t^7.54)/(g2^11*g3^11) - (g1*t^7.64)/(g2^4*g3^11*g4^2) - (g1*t^7.64)/(g2^11*g3^4*g4^2) - (2*t^7.64)/(g2^4*g3^4*g4^2) - (g2^3*t^7.64)/(g1*g3^4*g4^2) - (g3^3*t^7.64)/(g1*g2^4*g4^2) + g1*g2^2*g3^2*g4^15*t^7.67 + g2^9*g3^2*g4^15*t^7.67 + g2^2*g3^9*g4^15*t^7.67 + (g2^9*g3^9*g4^15*t^7.67)/g1 - (g1*t^7.69)/(g2^4*g3^4*g4^9) - (g2^3*t^7.69)/(g3^4*g4^9) - (g3^3*t^7.69)/(g2^4*g4^9) - (g2^3*g3^3*t^7.69)/(g1*g4^9) + g1^2*g2^2*g3^2*g4^8*t^7.72 + 2*g1*g2^9*g3^2*g4^8*t^7.72 + g2^16*g3^2*g4^8*t^7.72 + 2*g1*g2^2*g3^9*g4^8*t^7.72 + 3*g2^9*g3^9*g4^8*t^7.72 + (2*g2^16*g3^9*g4^8*t^7.72)/g1 + g2^2*g3^16*g4^8*t^7.72 + (2*g2^9*g3^16*g4^8*t^7.72)/g1 + (g2^16*g3^16*g4^8*t^7.72)/g1^2 + g1^2*g2^9*g3^2*g4*t^7.77 + g1*g2^16*g3^2*g4*t^7.77 + g1^2*g2^2*g3^9*g4*t^7.77 + 2*g1*g2^9*g3^9*g4*t^7.77 + 2*g2^16*g3^9*g4*t^7.77 + (g2^23*g3^9*g4*t^7.77)/g1 + g1*g2^2*g3^16*g4*t^7.77 + 2*g2^9*g3^16*g4*t^7.77 + (2*g2^16*g3^16*g4*t^7.77)/g1 + (g2^23*g3^16*g4*t^7.77)/g1^2 + (g2^9*g3^23*g4*t^7.77)/g1 + (g2^16*g3^23*g4*t^7.77)/g1^2 + t^7.83/(g2^22*g3^22*g4^4) - (2*t^8.27)/(g2^7*g3^7) - g2^6*g3^6*g4^10*t^8.35 + t^8.38/g4^14 - g1*g2^6*g3^6*g4^3*t^8.4 - g2^13*g3^6*g4^3*t^8.4 - g2^6*g3^13*g4^3*t^8.4 - (g2^13*g3^13*g4^3*t^8.4)/g1 + (2*g4^8*t^8.54)/(g2^12*g3^12) + (g1*g4*t^8.59)/(g2^12*g3^12) + (g4*t^8.59)/(g2^5*g3^12) + (g4*t^8.59)/(g2^12*g3^5) + (g4*t^8.59)/(g1*g2^5*g3^5) + (g1^2*t^8.64)/(g2^12*g3^12*g4^6) + (g1*t^8.64)/(g2^5*g3^12*g4^6) + (g2^2*t^8.64)/(g3^12*g4^6) + (g1*t^8.64)/(g2^12*g3^5*g4^6) + t^8.64/(g2^5*g3^5*g4^6) + (g2^2*t^8.64)/(g1*g3^5*g4^6) + (g3^2*t^8.64)/(g2^12*g4^6) + (g3^2*t^8.64)/(g1*g2^5*g4^6) + (g2^2*g3^2*t^8.64)/(g1^2*g4^6) - g2^8*g3^8*g4^4*t^8.72 + t^8.83/(g2^23*g3^23*g4^8) + (g1*g4^19*t^8.94)/(g2^4*g3^4) + (g2^3*g4^19*t^8.94)/g3^4 + (g3^3*g4^19*t^8.94)/g2^4 + (g2^3*g3^3*g4^19*t^8.94)/g1 + (g1^2*g4^12*t^8.99)/(g2^4*g3^4) + (2*g1*g2^3*g4^12*t^8.99)/g3^4 + (g2^10*g4^12*t^8.99)/g3^4 + (2*g1*g3^3*g4^12*t^8.99)/g2^4 + 3*g2^3*g3^3*g4^12*t^8.99 + (2*g2^10*g3^3*g4^12*t^8.99)/g1 + (g3^10*g4^12*t^8.99)/g2^4 + (2*g2^3*g3^10*g4^12*t^8.99)/g1 + (g2^10*g3^10*g4^12*t^8.99)/g1^2 - t^4.64/(g2^4*g3^4*g4^2*y) - t^6.91/(g2^11*g3^11*g4^2*y) + (g2^4*g3^4*g4^2*t^7.36)/y - t^7.92/(g2^12*g3^12*g4^6*y) + (g2^3*g3^3*t^8.36)/(g4^2*y) + t^8.55/(g2^15*g3^15*g4^4*y) + (g4^7*t^8.95)/(g1*y) + (g4^7*t^8.95)/(g2^7*y) + (g4^7*t^8.95)/(g3^7*y) + (g1*g4^7*t^8.95)/(g2^7*g3^7*y) - (t^4.64*y)/(g2^4*g3^4*g4^2) - (t^6.91*y)/(g2^11*g3^11*g4^2) + g2^4*g3^4*g4^2*t^7.36*y - (t^7.92*y)/(g2^12*g3^12*g4^6) + (g2^3*g3^3*t^8.36*y)/g4^2 + (t^8.55*y)/(g2^15*g3^15*g4^4) + (g4^7*t^8.95*y)/g1 + (g4^7*t^8.95*y)/g2^7 + (g4^7*t^8.95*y)/g3^7 + (g1*g4^7*t^8.95*y)/(g2^7*g3^7) |
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 |
|---|---|---|---|---|---|---|---|---|
| 55699 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_3^2$ + $ \phi_1q_2\tilde{q}_1$ | 0.8482 | 1.0323 | 0.8217 | [X:[], M:[0.7045], q:[0.5605, 0.735, 0.735], qb:[0.735, 0.5605, 0.5538], phi:[0.5301]] | t^2.11 + t^3.18 + 2*t^3.34 + t^3.36 + 3*t^3.87 + 5*t^3.89 + t^4.23 + 3*t^4.41 + t^4.91 + 2*t^4.93 + 3*t^4.95 + t^5.29 + 2*t^5.46 + t^5.48 + t^5.98 - 3*t^6. - t^4.59/y - t^4.59*y | detail | |
| 55797 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_3^2$ + $ q_3\tilde{q}_3$ | 0.7232 | 0.8641 | 0.8369 | [X:[], M:[0.837], q:[0.5815, 0.5815, 0.7908], qb:[0.5815, 0.5815, 1.2092], phi:[0.4185]] | 2*t^2.51 + 5*t^3.49 + 10*t^4.74 + 3*t^5.02 - 6*t^6. - t^4.26/y - t^4.26*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 |
|---|---|---|---|---|---|---|---|---|---|
| 55443 | SU2adj1nf3 | $M_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ | 0.8782 | 1.0685 | 0.8219 | [X:[], M:[0.7317], q:[0.6342, 0.6342, 0.621], qb:[0.6342, 0.6342, 0.621], phi:[0.5553]] | t^2.19 + t^3.33 + t^3.73 + 8*t^3.77 + 5*t^3.81 + t^4.39 + 3*t^5.39 + 8*t^5.43 + 10*t^5.47 + t^5.53 + t^5.92 - 15*t^6. - t^4.67/y - t^4.67*y | detail |