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 |
|---|---|---|---|---|---|---|---|---|---|
| 46072 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ | 0.6711 | 0.825 | 0.8135 | [X:[], M:[0.6804, 1.1065, 0.9852], q:[0.7766, 0.543], qb:[0.4718, 0.4217], phi:[0.4467]] | [X:[], M:[[12, 12], [-4, -4], [7, 11]], q:[[-1, -1], [-11, -11]], qb:[[4, 0], [0, 4]], phi:[[2, 2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_3$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3\phi_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_3^2$, $ M_1\phi_1\tilde{q}_2^2$ | . | -2 | t^2.04 + t^2.68 + t^2.89 + t^2.96 + t^3.32 + t^3.59 + t^3.75 + t^3.87 + t^4.02 + t^4.08 + t^4.17 + t^4.23 + t^4.38 + t^4.6 + t^4.72 + t^4.94 + t^5. + 2*t^5.36 + t^5.57 + t^5.64 + t^5.79 + 2*t^5.91 - 2*t^6. + t^6.06 + t^6.12 - t^6.15 + t^6.21 + 2*t^6.28 - t^6.36 + t^6.43 + t^6.49 + 2*t^6.55 + t^6.64 + t^6.7 + 2*t^6.76 + t^6.83 + t^6.85 + t^6.91 + t^6.98 + t^7.04 + t^7.06 + t^7.13 + t^7.19 + t^7.28 + 2*t^7.4 + t^7.47 + t^7.49 + 2*t^7.62 + t^7.68 - t^7.7 + t^7.74 + t^7.77 + t^7.83 + t^7.89 + t^7.92 + 2*t^7.95 + 2*t^8.1 + t^8.16 + 2*t^8.25 + 2*t^8.32 + t^8.34 - t^8.41 + 2*t^8.47 + t^8.56 + 2*t^8.59 - t^8.68 + t^8.74 + t^8.77 + t^8.8 + t^8.81 + 2*t^8.87 - 2*t^8.89 - t^8.96 + t^8.98 - t^4.34/y - t^6.38/y - t^7.3/y + t^7.38/y + t^7.72/y + t^7.94/y + t^8./y + t^8.3/y + t^8.36/y - t^8.42/y + t^8.57/y + (2*t^8.64)/y + t^8.79/y + t^8.85/y + t^8.91/y - t^4.34*y - t^6.38*y - t^7.3*y + t^7.38*y + t^7.72*y + t^7.94*y + t^8.*y + t^8.3*y + t^8.36*y - t^8.42*y + t^8.57*y + 2*t^8.64*y + t^8.79*y + t^8.85*y + t^8.91*y | g1^12*g2^12*t^2.04 + g1^4*g2^4*t^2.68 + t^2.89/(g1^11*g2^7) + g1^7*g2^11*t^2.96 + t^3.32/(g1^4*g2^4) + (g2^3*t^3.59)/g1 + (g1^3*t^3.75)/g2 + g1^2*g2^10*t^3.87 + g1^6*g2^6*t^4.02 + g1^24*g2^24*t^4.08 + g1^10*g2^2*t^4.17 + t^4.23/(g1^9*g2^5) + t^4.38/(g1^5*g2^9) + t^4.6/(g1^20*g2^20) + g1^16*g2^16*t^4.72 + g1*g2^5*t^4.94 + g1^19*g2^23*t^5. + 2*g1^8*g2^8*t^5.36 + t^5.57/(g1^7*g2^3) + g1^11*g2^15*t^5.64 + t^5.79/(g1^22*g2^14) + 2*g1^14*g2^22*t^5.91 - 2*t^6. + g1^18*g2^18*t^6.06 + g1^36*g2^36*t^6.12 - (g1^4*t^6.15)/g2^4 + g1^22*g2^14*t^6.21 + 2*g1^3*g2^7*t^6.28 - t^6.36/(g1^11*g2^15) + g1^7*g2^3*t^6.43 + t^6.49/(g1^12*g2^4) + 2*g1^6*g2^14*t^6.55 + t^6.64/(g1^8*g2^8) + g1^10*g2^10*t^6.7 + (g2^3*t^6.76)/g1^9 + g1^28*g2^28*t^6.76 + g1^9*g2^21*t^6.83 + g1^14*g2^6*t^6.85 + t^6.91/(g1^5*g2) + g1^13*g2^17*t^6.98 + g1^31*g2^35*t^7.04 + t^7.06/(g1*g2^5) + t^7.13/(g1^20*g2^12) + (g2^6*t^7.19)/g1^2 + t^7.28/(g1^16*g2^16) + 2*g1^20*g2^20*t^7.4 + g1*g2^13*t^7.47 + t^7.49/(g1^31*g2^27) + 2*g1^5*g2^9*t^7.62 + g1^23*g2^27*t^7.68 - t^7.7/(g1^9*g2^13) + g1^4*g2^20*t^7.74 + g1^9*g2^5*t^7.77 + t^7.83/(g1^10*g2^2) + g1^8*g2^16*t^7.89 + g1^13*g2*t^7.92 + 2*g1^26*g2^34*t^7.95 + (g2^5*t^8.1)/g1^7 + g1^30*g2^30*t^8.1 + g1^48*g2^48*t^8.16 + (g2*t^8.25)/g1^3 + g1^34*g2^26*t^8.25 + 2*g1^15*g2^19*t^8.32 + g1^20*g2^4*t^8.34 - (g1*t^8.41)/g2^3 + (2*t^8.47)/(g1^18*g2^10) + (g1^5*t^8.56)/g2^7 + 2*g1^18*g2^26*t^8.59 + t^8.68/(g1^33*g2^21) - 2*g1^4*g2^4*t^8.68 + g1^22*g2^22*t^8.74 + t^8.77/(g1^10*g2^18) + g1^40*g2^40*t^8.8 + g1^3*g2^15*t^8.81 - g1^8*t^8.83 + t^8.83/(g1^29*g2^25) + 2*g1^21*g2^33*t^8.87 - (3*t^8.89)/(g1^11*g2^7) + g1^26*g2^18*t^8.89 - g1^7*g2^11*t^8.96 + t^8.98/(g1^25*g2^29) - (g1^2*g2^2*t^4.34)/y - (g1^14*g2^14*t^6.38)/y - (g1^9*g2^13*t^7.3)/y + t^7.38/(g1^5*g2^9*y) + (g1^16*g2^16*t^7.72)/y + (g1*g2^5*t^7.94)/y + (g1^19*g2^23*t^8.)/y + t^8.3/(g1^10*g2^10*y) + (g1^8*g2^8*t^8.36)/y - (g1^26*g2^26*t^8.42)/y + t^8.57/(g1^7*g2^3*y) + (2*g1^11*g2^15*t^8.64)/y + (g1^15*g2^11*t^8.79)/y + (g2^4*t^8.85)/(g1^4*y) + (g1^14*g2^22*t^8.91)/y - g1^2*g2^2*t^4.34*y - g1^14*g2^14*t^6.38*y - g1^9*g2^13*t^7.3*y + (t^7.38*y)/(g1^5*g2^9) + g1^16*g2^16*t^7.72*y + g1*g2^5*t^7.94*y + g1^19*g2^23*t^8.*y + (t^8.3*y)/(g1^10*g2^10) + g1^8*g2^8*t^8.36*y - g1^26*g2^26*t^8.42*y + (t^8.57*y)/(g1^7*g2^3) + 2*g1^11*g2^15*t^8.64*y + g1^15*g2^11*t^8.79*y + (g2^4*t^8.85*y)/g1^4 + g1^14*g2^22*t^8.91*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 46267 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6916 | 0.8641 | 0.8004 | [X:[], M:[0.6838, 1.1054, 0.9954, 0.6931], q:[0.7763, 0.5398], qb:[0.4648, 0.4298], phi:[0.4473]] | t^2.05 + t^2.08 + t^2.68 + t^2.91 + t^2.99 + t^3.32 + t^3.62 + t^3.72 + t^4.03 + t^4.1 + 2*t^4.13 + t^4.16 + t^4.25 + t^4.36 + t^4.58 + t^4.74 + t^4.76 + t^4.96 + t^4.99 + t^5.04 + t^5.07 + 2*t^5.37 + t^5.4 + t^5.59 + t^5.67 + t^5.7 + t^5.8 + t^5.82 + t^5.97 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 46237 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1q_2^2$ + $ M_1X_1$ | 0.5974 | 0.7233 | 0.826 | [X:[1.6], M:[0.4, 1.2, 0.7864], q:[0.8, 0.8], qb:[0.4136, 0.3864], phi:[0.4]] | t^2.36 + t^2.4 + t^3.52 + 2*t^3.56 + 2*t^3.6 + t^3.64 + t^3.68 + t^4.72 + t^4.76 + 2*t^4.8 + t^5.88 + 2*t^5.92 + 2*t^5.96 - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45929 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ | 0.6721 | 0.8254 | 0.8143 | [X:[], M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | t^2.14 + t^2.71 + 2*t^2.89 + t^3.29 + 2*t^3.68 + 3*t^4.07 + 2*t^4.25 + t^4.29 + t^4.43 + t^4.86 + 2*t^5.04 + 2*t^5.43 + 2*t^5.61 + 3*t^5.78 - 4*t^6. - t^4.36/y - t^4.36*y | detail |