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 |
|---|---|---|---|---|---|---|---|---|---|
| 48237 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.6632 | 0.8813 | 0.7525 | [X:[], M:[0.7251, 0.7251, 1.0, 0.745, 0.745, 1.02], q:[0.755, 0.52], qb:[0.52, 0.245], phi:[0.49]] | [X:[], M:[[1, 9], [-1, 1], [0, 0], [1, 5], [-1, -3], [0, -4]], q:[[0, -1], [-1, -8]], qb:[[1, 0], [0, 1]], phi:[[0, 2]]] |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_5$, $ M_4$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3$, $ M_6$, $ q_2\tilde{q}_1$, $ M_2^2$, $ M_1M_2$, $ M_1^2$, $ M_2M_5$, $ M_2M_4$, $ M_1M_5$, $ M_1M_4$, $ M_5^2$, $ M_2q_2\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2\phi_1\tilde{q}_2^2$, $ M_1\phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_5\phi_1\tilde{q}_2^2$, $ M_1M_3$, $ M_4\phi_1\tilde{q}_2^2$, $ M_3M_5$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2^3$, $ M_3M_4$, $ M_1M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2^3$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ M_6\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^2\tilde{q}_2^4$ | $M_6\phi_1\tilde{q}_2^2$ | 2*t^2.18 + 2*t^2.24 + 2*t^2.29 + t^2.94 + t^3. + t^3.06 + t^3.12 + 3*t^4.35 + 4*t^4.41 + 7*t^4.47 + 4*t^4.53 + 6*t^4.59 + 2*t^5.12 + 2*t^5.18 + 6*t^5.24 + 6*t^5.29 + 4*t^5.35 + 2*t^5.41 + t^5.88 - 4*t^6. + t^6.06 + t^6.12 + t^6.18 + t^6.24 + 4*t^6.53 + 6*t^6.59 + 10*t^6.65 + 10*t^6.71 + 14*t^6.76 + 8*t^6.82 + 8*t^6.88 + 3*t^7.29 + 3*t^7.35 + 10*t^7.41 + 10*t^7.47 + 16*t^7.53 + 13*t^7.59 + 7*t^7.65 + 6*t^7.71 + 2*t^8.06 - 8*t^8.18 - 8*t^8.24 - 8*t^8.29 + 2*t^8.35 + 4*t^8.41 + 4*t^8.47 + 2*t^8.53 + 5*t^8.7 + 8*t^8.76 + 14*t^8.82 + 15*t^8.88 + 18*t^8.94 - t^4.47/y - (2*t^6.65)/y - (2*t^6.71)/y + t^7.35/y + (4*t^7.41)/y + (5*t^7.47)/y + (4*t^7.53)/y + t^7.59/y + (2*t^8.12)/y + (4*t^8.18)/y + (8*t^8.24)/y + (8*t^8.29)/y + (4*t^8.35)/y + (2*t^8.41)/y - (3*t^8.82)/y - (4*t^8.88)/y - (2*t^8.94)/y - t^4.47*y - 2*t^6.65*y - 2*t^6.71*y + t^7.35*y + 4*t^7.41*y + 5*t^7.47*y + 4*t^7.53*y + t^7.59*y + 2*t^8.12*y + 4*t^8.18*y + 8*t^8.24*y + 8*t^8.29*y + 4*t^8.35*y + 2*t^8.41*y - 3*t^8.82*y - 4*t^8.88*y - 2*t^8.94*y | (g2*t^2.18)/g1 + g1*g2^9*t^2.18 + t^2.24/(g1*g2^3) + g1*g2^5*t^2.24 + t^2.29/(g1*g2^7) + g1*g2*t^2.29 + g2^4*t^2.94 + t^3. + t^3.06/g2^4 + t^3.12/g2^8 + (g2^2*t^4.35)/g1^2 + g2^10*t^4.35 + g1^2*g2^18*t^4.35 + t^4.41/(g1^2*g2^2) + 2*g2^6*t^4.41 + g1^2*g2^14*t^4.41 + (2*t^4.47)/(g1^2*g2^6) + 3*g2^2*t^4.47 + 2*g1^2*g2^10*t^4.47 + t^4.53/(g1^2*g2^10) + (2*t^4.53)/g2^2 + g1^2*g2^6*t^4.53 + (2*t^4.59)/(g1^2*g2^14) + (2*t^4.59)/g2^6 + 2*g1^2*g2^2*t^4.59 + (g2^5*t^5.12)/g1 + g1*g2^13*t^5.12 + (g2*t^5.18)/g1 + g1*g2^9*t^5.18 + (3*t^5.24)/(g1*g2^3) + 3*g1*g2^5*t^5.24 + (3*t^5.29)/(g1*g2^7) + 3*g1*g2*t^5.29 + (2*t^5.35)/(g1*g2^11) + (2*g1*t^5.35)/g2^3 + t^5.41/(g1*g2^15) + (g1*t^5.41)/g2^7 + g2^8*t^5.88 - 2*t^6. - t^6./(g1^2*g2^8) - g1^2*g2^8*t^6. + t^6.06/g2^4 + t^6.12/g2^8 + t^6.18/g2^12 + t^6.24/g2^16 + (g2^3*t^6.53)/g1^3 + (g2^11*t^6.53)/g1 + g1*g2^19*t^6.53 + g1^3*g2^27*t^6.53 + t^6.59/(g1^3*g2) + (2*g2^7*t^6.59)/g1 + 2*g1*g2^15*t^6.59 + g1^3*g2^23*t^6.59 + (2*t^6.65)/(g1^3*g2^5) + (3*g2^3*t^6.65)/g1 + 3*g1*g2^11*t^6.65 + 2*g1^3*g2^19*t^6.65 + (2*t^6.71)/(g1^3*g2^9) + (3*t^6.71)/(g1*g2) + 3*g1*g2^7*t^6.71 + 2*g1^3*g2^15*t^6.71 + (3*t^6.76)/(g1^3*g2^13) + (4*t^6.76)/(g1*g2^5) + 4*g1*g2^3*t^6.76 + 3*g1^3*g2^11*t^6.76 + (2*t^6.82)/(g1^3*g2^17) + (2*t^6.82)/(g1*g2^9) + (2*g1*t^6.82)/g2 + 2*g1^3*g2^7*t^6.82 + (2*t^6.88)/(g1^3*g2^21) + (2*t^6.88)/(g1*g2^13) + (2*g1*t^6.88)/g2^5 + 2*g1^3*g2^3*t^6.88 + (g2^6*t^7.29)/g1^2 + g2^14*t^7.29 + g1^2*g2^22*t^7.29 + (g2^2*t^7.35)/g1^2 + g2^10*t^7.35 + g1^2*g2^18*t^7.35 + (3*t^7.41)/(g1^2*g2^2) + 4*g2^6*t^7.41 + 3*g1^2*g2^14*t^7.41 + (3*t^7.47)/(g1^2*g2^6) + 4*g2^2*t^7.47 + 3*g1^2*g2^10*t^7.47 + (5*t^7.53)/(g1^2*g2^10) + (6*t^7.53)/g2^2 + 5*g1^2*g2^6*t^7.53 + (4*t^7.59)/(g1^2*g2^14) + (5*t^7.59)/g2^6 + 4*g1^2*g2^2*t^7.59 + (2*t^7.65)/(g1^2*g2^18) + (3*t^7.65)/g2^10 + (2*g1^2*t^7.65)/g2^2 + (2*t^7.71)/(g1^2*g2^22) + (2*t^7.71)/g2^14 + (2*g1^2*t^7.71)/g2^6 + (g2^9*t^8.06)/g1 + g1*g2^17*t^8.06 - t^8.18/(g1^3*g2^7) - (3*g2*t^8.18)/g1 - 3*g1*g2^9*t^8.18 - g1^3*g2^17*t^8.18 - t^8.24/(g1^3*g2^11) - (3*t^8.24)/(g1*g2^3) - 3*g1*g2^5*t^8.24 - g1^3*g2^13*t^8.24 - t^8.29/(g1^3*g2^15) - (3*t^8.29)/(g1*g2^7) - 3*g1*g2*t^8.29 - g1^3*g2^9*t^8.29 + t^8.35/(g1*g2^11) + (g1*t^8.35)/g2^3 + (2*t^8.41)/(g1*g2^15) + (2*g1*t^8.41)/g2^7 + (2*t^8.47)/(g1*g2^19) + (2*g1*t^8.47)/g2^11 + t^8.53/(g1*g2^23) + (g1*t^8.53)/g2^15 + (g2^4*t^8.7)/g1^4 + (g2^12*t^8.7)/g1^2 + g2^20*t^8.7 + g1^2*g2^28*t^8.7 + g1^4*g2^36*t^8.7 + t^8.76/g1^4 + (2*g2^8*t^8.76)/g1^2 + 2*g2^16*t^8.76 + 2*g1^2*g2^24*t^8.76 + g1^4*g2^32*t^8.76 + (2*t^8.82)/(g1^4*g2^4) + (3*g2^4*t^8.82)/g1^2 + 4*g2^12*t^8.82 + 3*g1^2*g2^20*t^8.82 + 2*g1^4*g2^28*t^8.82 + (4*t^8.88)/g1^2 + (2*t^8.88)/(g1^4*g2^8) + 3*g2^8*t^8.88 + 4*g1^2*g2^16*t^8.88 + 2*g1^4*g2^24*t^8.88 + (4*t^8.94)/(g1^4*g2^12) + (4*t^8.94)/(g1^2*g2^4) + 2*g2^4*t^8.94 + 4*g1^2*g2^12*t^8.94 + 4*g1^4*g2^20*t^8.94 - (g2^2*t^4.47)/y - (g2^3*t^6.65)/(g1*y) - (g1*g2^11*t^6.65)/y - t^6.71/(g1*g2*y) - (g1*g2^7*t^6.71)/y + (g2^10*t^7.35)/y + t^7.41/(g1^2*g2^2*y) + (2*g2^6*t^7.41)/y + (g1^2*g2^14*t^7.41)/y + t^7.47/(g1^2*g2^6*y) + (3*g2^2*t^7.47)/y + (g1^2*g2^10*t^7.47)/y + t^7.53/(g1^2*g2^10*y) + (2*t^7.53)/(g2^2*y) + (g1^2*g2^6*t^7.53)/y + t^7.59/(g2^6*y) + (g2^5*t^8.12)/(g1*y) + (g1*g2^13*t^8.12)/y + (2*g2*t^8.18)/(g1*y) + (2*g1*g2^9*t^8.18)/y + (4*t^8.24)/(g1*g2^3*y) + (4*g1*g2^5*t^8.24)/y + (4*t^8.29)/(g1*g2^7*y) + (4*g1*g2*t^8.29)/y + (2*t^8.35)/(g1*g2^11*y) + (2*g1*t^8.35)/(g2^3*y) + t^8.41/(g1*g2^15*y) + (g1*t^8.41)/(g2^7*y) - (g2^4*t^8.82)/(g1^2*y) - (g2^12*t^8.82)/y - (g1^2*g2^20*t^8.82)/y - t^8.88/(g1^2*y) - (2*g2^8*t^8.88)/y - (g1^2*g2^16*t^8.88)/y - t^8.94/(g1^2*g2^4*y) - (g1^2*g2^12*t^8.94)/y - g2^2*t^4.47*y - (g2^3*t^6.65*y)/g1 - g1*g2^11*t^6.65*y - (t^6.71*y)/(g1*g2) - g1*g2^7*t^6.71*y + g2^10*t^7.35*y + (t^7.41*y)/(g1^2*g2^2) + 2*g2^6*t^7.41*y + g1^2*g2^14*t^7.41*y + (t^7.47*y)/(g1^2*g2^6) + 3*g2^2*t^7.47*y + g1^2*g2^10*t^7.47*y + (t^7.53*y)/(g1^2*g2^10) + (2*t^7.53*y)/g2^2 + g1^2*g2^6*t^7.53*y + (t^7.59*y)/g2^6 + (g2^5*t^8.12*y)/g1 + g1*g2^13*t^8.12*y + (2*g2*t^8.18*y)/g1 + 2*g1*g2^9*t^8.18*y + (4*t^8.24*y)/(g1*g2^3) + 4*g1*g2^5*t^8.24*y + (4*t^8.29*y)/(g1*g2^7) + 4*g1*g2*t^8.29*y + (2*t^8.35*y)/(g1*g2^11) + (2*g1*t^8.35*y)/g2^3 + (t^8.41*y)/(g1*g2^15) + (g1*t^8.41*y)/g2^7 - (g2^4*t^8.82*y)/g1^2 - g2^12*t^8.82*y - g1^2*g2^20*t^8.82*y - (t^8.88*y)/g1^2 - 2*g2^8*t^8.88*y - g1^2*g2^16*t^8.88*y - (t^8.94*y)/(g1^2*g2^4) - g1^2*g2^12*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 |
|---|---|---|---|---|---|---|---|---|
| 54840 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_2M_7$ | 0.6436 | 0.8459 | 0.7608 | [X:[], M:[0.7282, 0.7433, 1.0, 0.7396, 0.7547, 1.0114, 1.2567], q:[0.7529, 0.519], qb:[0.5038, 0.2471], phi:[0.4943]] | t^2.18 + t^2.22 + t^2.25 + t^2.26 + t^2.3 + t^2.97 + t^3. + t^3.03 + t^3.07 + t^3.77 + t^4.37 + t^4.4 + 2*t^4.44 + t^4.45 + t^4.47 + 2*t^4.48 + 2*t^4.51 + 2*t^4.52 + t^4.53 + 2*t^4.55 + t^4.56 + 2*t^4.6 + t^5.15 + t^5.18 + 3*t^5.22 + 3*t^5.25 + 2*t^5.26 + 2*t^5.29 + 2*t^5.3 + t^5.32 + 2*t^5.33 + t^5.37 + t^5.93 + t^5.99 - 2*t^6. - t^4.48/y - t^4.48*y | detail | |
| 50956 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2X_1$ | 0.6308 | 0.8234 | 0.7661 | [X:[1.3788], M:[0.6768, 0.6212, 1.0, 0.7576, 0.702, 1.0808], q:[0.7702, 0.553], qb:[0.6086, 0.2298], phi:[0.4596]] | t^2.03 + t^2.11 + t^2.27 + t^2.35 + t^2.52 + t^2.76 + t^3. + t^3.24 + t^3.48 + t^4.06 + 2*t^4.14 + t^4.21 + t^4.3 + 2*t^4.38 + t^4.45 + 2*t^4.55 + 2*t^4.62 + 2*t^4.7 + 2*t^4.79 + 2*t^4.86 + 3*t^5.03 + 2*t^5.11 + 3*t^5.27 + 2*t^5.35 + 4*t^5.52 + 2*t^5.59 + 2*t^5.76 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46407 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_3^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6659 | 0.8858 | 0.7517 | [X:[], M:[0.7042, 0.7042, 1.0, 0.7408, 0.7408], q:[0.7592, 0.5366], qb:[0.5366, 0.2408], phi:[0.4817]] | 2*t^2.11 + 2*t^2.22 + 2*t^2.33 + 2*t^2.89 + t^3. + t^3.22 + 3*t^4.23 + 4*t^4.34 + 7*t^4.45 + 4*t^4.55 + 6*t^4.66 + 4*t^5. + 4*t^5.11 + 6*t^5.22 + 4*t^5.33 + 2*t^5.44 + 2*t^5.55 + 3*t^5.78 + t^5.89 - 5*t^6. - t^4.45/y - t^4.45*y | detail |