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 |
|---|---|---|---|---|---|---|---|---|---|
| 55105 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ + $ M_6M_7$ | 0.71 | 0.8746 | 0.8118 | [X:[], M:[0.8432, 0.883, 1.0655, 1.0258, 0.9345, 0.9742, 1.0258], q:[0.624, 0.5328], qb:[0.493, 0.4415], phi:[0.4772]] | [X:[], M:[[12, 20], [0, 16], [-8, -8], [4, -4], [8, 8], [-4, 4], [4, -4]], q:[[-8, -16], [-4, -4]], qb:[[8, 0], [0, 8]], phi:[[1, 3]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_4$, $ M_7$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_1^2$, $ \phi_1q_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_5^2$, $ M_1M_7$, $ M_5\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_2M_7$, $ \phi_1^4$, $ M_4M_5$, $ M_5M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$ | . | -3 | t^2.53 + t^2.65 + t^2.8 + t^2.86 + 2*t^3.08 + t^3.2 + t^4.08 + t^4.24 + t^4.35 + t^4.39 + t^4.51 + 2*t^4.63 + t^4.78 + t^4.9 + t^5.06 + 2*t^5.18 + t^5.3 + t^5.33 + t^5.39 + t^5.51 + 2*t^5.61 + t^5.67 + 2*t^5.73 + t^5.88 + 2*t^5.94 - 3*t^6. + t^6.06 - t^6.12 + 2*t^6.15 - t^6.27 - t^6.55 + t^6.61 + t^6.73 + t^6.76 + 2*t^6.88 + t^6.92 + t^6.94 + t^7. + 2*t^7.04 + t^7.1 + 3*t^7.16 + t^7.19 + t^7.25 + 2*t^7.28 + 2*t^7.31 + 2*t^7.43 + 2*t^7.47 + t^7.49 - t^7.53 + 3*t^7.59 + 3*t^7.71 - t^7.76 + t^7.82 + t^7.83 + 2*t^7.86 + t^7.95 + t^7.98 + t^8.04 + 2*t^8.14 + 2*t^8.16 + t^8.2 + t^8.25 + 2*t^8.26 - t^8.31 + t^8.32 + t^8.37 + t^8.38 + t^8.41 + t^8.43 + 3*t^8.47 - 3*t^8.53 + 3*t^8.59 + t^8.62 - 5*t^8.65 + t^8.68 + 2*t^8.71 + 2*t^8.74 - t^8.77 + t^8.78 - 2*t^8.8 - t^8.86 + t^8.9 - 3*t^8.92 + t^8.98 - t^4.43/y - t^6.96/y - t^7.08/y - t^7.29/y + t^7.35/y - t^7.51/y + t^7.57/y + t^7.78/y + t^7.9/y + t^8.18/y + t^8.33/y + t^8.39/y + t^8.45/y + t^8.51/y + (2*t^8.61)/y + t^8.67/y + (3*t^8.73)/y + t^8.85/y + (2*t^8.88)/y + (2*t^8.94)/y - t^4.43*y - t^6.96*y - t^7.08*y - t^7.29*y + t^7.35*y - t^7.51*y + t^7.57*y + t^7.78*y + t^7.9*y + t^8.18*y + t^8.33*y + t^8.39*y + t^8.45*y + t^8.51*y + 2*t^8.61*y + t^8.67*y + 3*t^8.73*y + t^8.85*y + 2*t^8.88*y + 2*t^8.94*y | g1^12*g2^20*t^2.53 + g2^16*t^2.65 + g1^8*g2^8*t^2.8 + g1^2*g2^6*t^2.86 + (2*g1^4*t^3.08)/g2^4 + t^3.2/(g1^8*g2^8) + g1*g2^19*t^4.08 + g1^9*g2^11*t^4.24 + (g2^7*t^4.35)/g1^3 + g1^17*g2^3*t^4.39 + (g1^5*t^4.51)/g2 + (2*t^4.63)/(g1^7*g2^5) + (g1*t^4.78)/g2^13 + t^4.9/(g1^11*g2^17) + g1^24*g2^40*t^5.06 + t^5.18/(g1^15*g2^29) + g1^12*g2^36*t^5.18 + g2^32*t^5.3 + g1^20*g2^28*t^5.33 + g1^14*g2^26*t^5.39 + g1^2*g2^22*t^5.51 + 2*g1^16*g2^16*t^5.61 + g1^10*g2^14*t^5.67 + 2*g1^4*g2^12*t^5.73 + g1^12*g2^4*t^5.88 + 2*g1^6*g2^2*t^5.94 - 3*t^6. + t^6.06/(g1^6*g2^2) - t^6.12/(g1^12*g2^4) + (2*g1^8*t^6.15)/g2^8 - t^6.27/(g1^4*g2^12) - t^6.55/(g1^8*g2^24) + g1^13*g2^39*t^6.61 + g1*g2^35*t^6.73 + g1^21*g2^31*t^6.76 + 2*g1^9*g2^27*t^6.88 + g1^29*g2^23*t^6.92 + g1^3*g2^25*t^6.94 + (g2^23*t^7.)/g1^3 + 2*g1^17*g2^19*t^7.04 + g1^11*g2^17*t^7.1 + 3*g1^5*g2^15*t^7.16 + g1^25*g2^11*t^7.19 + g1^19*g2^9*t^7.25 + (2*g2^11*t^7.28)/g1^7 + 2*g1^13*g2^7*t^7.31 + 2*g1*g2^3*t^7.43 + (2*g1^21*t^7.47)/g2 + (g2*t^7.49)/g1^5 - (g1^15*t^7.53)/g2^3 + (2*g1^9*t^7.59)/g2^5 + g1^36*g2^60*t^7.59 + (2*t^7.71)/(g1^3*g2^9) + g1^24*g2^56*t^7.71 - t^7.76/(g1^9*g2^11) + t^7.82/(g1^15*g2^13) + g1^12*g2^52*t^7.83 + (g1^5*t^7.86)/g2^17 + g1^32*g2^48*t^7.86 - t^7.92/(g1*g2^19) + g1^26*g2^46*t^7.92 + g2^48*t^7.95 + t^7.98/(g1^7*g2^21) + g1^14*g2^42*t^8.04 + 2*g1^28*g2^36*t^8.14 + 2*g1^2*g2^38*t^8.16 + g1^22*g2^34*t^8.2 + t^8.25/(g1^11*g2^33) + 2*g1^16*g2^32*t^8.26 - t^8.31/(g1^17*g2^35) + g1^10*g2^30*t^8.32 + t^8.37/(g1^23*g2^37) + g1^4*g2^28*t^8.38 + g1^24*g2^24*t^8.41 + (g2^26*t^8.43)/g1^2 + 3*g1^18*g2^22*t^8.47 - 3*g1^12*g2^20*t^8.53 + 3*g1^6*g2^18*t^8.59 + g1^26*g2^14*t^8.62 - 5*g2^16*t^8.65 + g1^20*g2^12*t^8.68 + (2*g2^14*t^8.71)/g1^6 + 2*g1^14*g2^10*t^8.74 - (g2^12*t^8.77)/g1^12 + g1^34*g2^6*t^8.78 - 2*g1^8*g2^8*t^8.8 - g1^2*g2^6*t^8.86 + g1^22*g2^2*t^8.9 - (3*g2^4*t^8.92)/g1^4 + (g2^2*t^8.98)/g1^10 - (g1*g2^3*t^4.43)/y - (g1^13*g2^23*t^6.96)/y - (g1*g2^19*t^7.08)/y - (g1^3*g2^9*t^7.29)/y + (g2^7*t^7.35)/(g1^3*y) - (g1^5*t^7.51)/(g2*y) + t^7.57/(g1*g2^3*y) + (g1*t^7.78)/(g2^13*y) + t^7.9/(g1^11*g2^17*y) + (g1^12*g2^36*t^8.18)/y + (g1^20*g2^28*t^8.33)/y + (g1^14*g2^26*t^8.39)/y + (g1^8*g2^24*t^8.45)/y + (g1^2*g2^22*t^8.51)/y + (2*g1^16*g2^16*t^8.61)/y + (g1^10*g2^14*t^8.67)/y + (3*g1^4*g2^12*t^8.73)/y + (g2^8*t^8.85)/(g1^8*y) + (2*g1^12*g2^4*t^8.88)/y + (2*g1^6*g2^2*t^8.94)/y - g1*g2^3*t^4.43*y - g1^13*g2^23*t^6.96*y - g1*g2^19*t^7.08*y - g1^3*g2^9*t^7.29*y + (g2^7*t^7.35*y)/g1^3 - (g1^5*t^7.51*y)/g2 + (t^7.57*y)/(g1*g2^3) + (g1*t^7.78*y)/g2^13 + (t^7.9*y)/(g1^11*g2^17) + g1^12*g2^36*t^8.18*y + g1^20*g2^28*t^8.33*y + g1^14*g2^26*t^8.39*y + g1^8*g2^24*t^8.45*y + g1^2*g2^22*t^8.51*y + 2*g1^16*g2^16*t^8.61*y + g1^10*g2^14*t^8.67*y + 3*g1^4*g2^12*t^8.73*y + (g2^8*t^8.85*y)/g1^8 + 2*g1^12*g2^4*t^8.88*y + 2*g1^6*g2^2*t^8.94*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 |
|---|---|---|---|---|---|---|---|---|
| 56769 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ + $ M_6M_7$ + $ M_8\phi_1^2$ | 0.706 | 0.8672 | 0.8141 | [X:[], M:[0.8594, 0.8983, 1.0598, 1.0209, 0.9402, 0.9791, 1.0209, 1.0404], q:[0.6107, 0.5299], qb:[0.491, 0.4491], phi:[0.4798]] | t^2.58 + t^2.69 + t^2.82 + 2*t^3.06 + t^3.12 + t^3.18 + t^4.13 + t^4.26 + t^4.38 + t^4.39 + t^4.5 + 2*t^4.62 + t^4.74 + t^4.86 + t^5.1 + t^5.16 + t^5.27 + t^5.39 + t^5.4 + 2*t^5.64 + t^5.7 + t^5.76 + t^5.82 + t^5.88 + t^5.94 - 3*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46938 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4M_6$ | 0.7134 | 0.8806 | 0.8101 | [X:[], M:[0.846, 0.8524, 1.0534, 1.0471, 0.9466, 0.9529], q:[0.6272, 0.5267], qb:[0.5203, 0.4262], phi:[0.4749]] | t^2.54 + t^2.56 + t^2.84 + t^2.85 + t^2.86 + t^3.14 + t^3.16 + t^3.98 + t^4.26 + t^4.28 + t^4.55 + t^4.57 + 2*t^4.58 + t^4.87 + t^4.89 + t^5.08 + t^5.1 + t^5.11 + t^5.19 + t^5.38 + t^5.39 + t^5.4 + t^5.41 + t^5.42 + t^5.68 + t^5.69 + 2*t^5.7 + t^5.71 + t^5.72 + t^5.99 - 2*t^6. - t^4.42/y - t^4.42*y | detail |