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 |
|---|---|---|---|---|---|---|---|---|---|
| 1877 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ | 0.6261 | 0.8118 | 0.7713 | [X:[], M:[1.0, 1.029, 0.942, 1.029, 0.7395, 0.717], q:[0.7572, 0.2428], qb:[0.5322, 0.5257], phi:[0.4855]] | [X:[], M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-5, 3], [-1, -9]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_3$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_6^2$, $ M_5M_6$, $ M_5^2$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3M_6$, $ M_3M_5$, $ M_1M_6$, $ M_1M_5$, $ M_2M_6$, $ M_4M_6$, $ M_2M_5$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_3^2$, $ M_1M_3$, $ M_2M_3$, $ M_3M_4$, $ M_6\phi_1q_2\tilde{q}_2$ | . | -3 | t^2.15 + t^2.22 + t^2.31 + t^2.32 + t^2.83 + t^3. + 2*t^3.09 + t^3.76 + t^3.87 + t^4.3 + t^4.37 + t^4.44 + t^4.46 + t^4.48 + t^4.52 + t^4.54 + 2*t^4.61 + 2*t^4.63 + 2*t^4.65 + t^4.98 + t^5.04 + t^5.15 + t^5.22 + 2*t^5.24 + 3*t^5.31 + t^5.32 + 2*t^5.39 + 2*t^5.41 + t^5.65 + t^5.83 + 2*t^5.91 - 3*t^6. + t^6.07 + 3*t^6.09 + 3*t^6.17 + t^6.19 + t^6.45 + t^6.52 + t^6.59 + t^6.63 + t^6.66 + t^6.69 + t^6.74 + 2*t^6.76 + 2*t^6.8 + 2*t^6.83 + 2*t^6.85 + t^6.87 + 2*t^6.92 + 2*t^6.94 + 4*t^6.96 + 2*t^6.97 + t^7.13 + t^7.2 + t^7.26 + t^7.3 + t^7.37 + 2*t^7.39 + t^7.44 + t^7.46 + t^7.48 + 3*t^7.52 + t^7.56 + 3*t^7.61 + 3*t^7.63 + t^7.65 + 3*t^7.7 + 3*t^7.72 + 4*t^7.74 + t^7.8 + t^7.87 + t^7.98 + t^8.04 + 2*t^8.06 + t^8.13 - 3*t^8.15 - 3*t^8.22 + t^8.24 - 2*t^8.31 - 2*t^8.32 + 2*t^8.37 + 4*t^8.39 + 2*t^8.41 + 4*t^8.48 + 3*t^8.5 + 2*t^8.52 + t^8.6 + t^8.65 + t^8.67 + 2*t^8.74 + t^8.78 + t^8.81 - 3*t^8.83 + t^8.85 + t^8.87 + 2*t^8.91 + 2*t^8.95 + t^8.96 + t^8.98 - t^4.46/y - t^6.61/y - t^6.68/y - t^7.28/y + (2*t^7.37)/y + t^7.46/y + t^7.48/y + t^7.52/y + (2*t^7.63)/y + t^7.98/y + t^8.04/y + t^8.13/y + (2*t^8.15)/y + t^8.22/y + (3*t^8.24)/y + (4*t^8.31)/y + t^8.32/y + (2*t^8.39)/y + (2*t^8.41)/y - t^8.76/y - t^8.89/y + (3*t^8.91)/y + t^8.98/y - t^4.46*y - t^6.61*y - t^6.68*y - t^7.28*y + 2*t^7.37*y + t^7.46*y + t^7.48*y + t^7.52*y + 2*t^7.63*y + t^7.98*y + t^8.04*y + t^8.13*y + 2*t^8.15*y + t^8.22*y + 3*t^8.24*y + 4*t^8.31*y + t^8.32*y + 2*t^8.39*y + 2*t^8.41*y - t^8.76*y - t^8.89*y + 3*t^8.91*y + t^8.98*y | t^2.15/(g1*g2^9) + (g2^3*t^2.22)/g1^5 + (g2^7*t^2.31)/g1 + (g1^7*t^2.32)/g2 + t^2.83/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.09 + (g2^5*t^3.76)/g1^3 + g1^9*g2*t^3.87 + t^4.3/(g1^2*g2^18) + t^4.37/(g1^6*g2^6) + (g2^6*t^4.44)/g1^10 + t^4.46/(g1^2*g2^2) + (g1^6*t^4.48)/g2^10 + (g2^10*t^4.52)/g1^6 + g1^2*g2^2*t^4.54 + (2*g2^14*t^4.61)/g1^2 + 2*g1^6*g2^6*t^4.63 + (2*g1^14*t^4.65)/g2^2 + t^4.98/(g1^9*g2^17) + t^5.04/(g1^13*g2^5) + t^5.15/(g1*g2^9) + (g2^3*t^5.22)/g1^5 + (2*g1^3*t^5.24)/g2^5 + (3*g2^7*t^5.31)/g1 + (g1^7*t^5.32)/g2 + 2*g1^3*g2^11*t^5.39 + 2*g1^11*g2^3*t^5.41 + t^5.65/(g1^16*g2^16) + t^5.83/(g1^8*g2^8) + (2*t^5.91)/(g1^4*g2^4) - 3*t^6. + (g2^12*t^6.07)/g1^4 + 3*g1^4*g2^4*t^6.09 + 3*g1^8*g2^8*t^6.17 + g1^16*t^6.19 + t^6.45/(g1^3*g2^27) + t^6.52/(g1^7*g2^15) + t^6.59/(g1^11*g2^3) + (g1^5*t^6.63)/g2^19 + (g2^9*t^6.66)/g1^15 + (g1*t^6.69)/g2^7 + (g2^13*t^6.74)/g1^11 + (2*g2^5*t^6.76)/g1^3 + (2*g1^13*t^6.8)/g2^11 + (2*g2^17*t^6.83)/g1^7 + 2*g1*g2^9*t^6.85 + g1^9*g2*t^6.87 + (2*g2^21*t^6.92)/g1^3 + 2*g1^5*g2^13*t^6.94 + 4*g1^13*g2^5*t^6.96 + (2*g1^21*t^6.97)/g2^3 + t^7.13/(g1^10*g2^26) + t^7.2/(g1^14*g2^14) + t^7.26/(g1^18*g2^2) + t^7.3/(g1^2*g2^18) + t^7.37/(g1^6*g2^6) + (2*g1^2*t^7.39)/g2^14 + (g2^6*t^7.44)/g1^10 + t^7.46/(g1^2*g2^2) + (g1^6*t^7.48)/g2^10 + (3*g2^10*t^7.52)/g1^6 + (g1^10*t^7.56)/g2^6 + (3*g2^14*t^7.61)/g1^2 + 3*g1^6*g2^6*t^7.63 + (g1^14*t^7.65)/g2^2 + 3*g1^2*g2^18*t^7.7 + 3*g1^10*g2^10*t^7.72 + 4*g1^18*g2^2*t^7.74 + t^7.8/(g1^17*g2^25) + t^7.87/(g1^21*g2^13) + t^7.98/(g1^9*g2^17) + t^8.04/(g1^13*g2^5) + (2*t^8.06)/(g1^5*g2^13) + t^8.13/(g1^9*g2) - (3*t^8.15)/(g1*g2^9) - (3*g2^3*t^8.22)/g1^5 + (g1^3*t^8.24)/g2^5 - (2*g2^7*t^8.31)/g1 - (2*g1^7*t^8.32)/g2 + (2*g2^19*t^8.37)/g1^5 + 4*g1^3*g2^11*t^8.39 + 2*g1^11*g2^3*t^8.41 + t^8.48/(g1^24*g2^24) + 3*g1^7*g2^15*t^8.48 + 3*g1^15*g2^7*t^8.5 + (2*g1^23*t^8.52)/g2 + t^8.6/(g1^4*g2^36) + t^8.65/(g1^16*g2^16) + t^8.67/(g1^8*g2^24) + (2*t^8.74)/(g1^12*g2^12) + (g1^4*t^8.78)/g2^28 + t^8.81/g1^16 - (3*t^8.83)/(g1^8*g2^8) + t^8.85/g2^16 + (g2^12*t^8.87)/g1^20 + (2*t^8.91)/(g1^4*g2^4) + (2*g1^12*t^8.95)/g2^20 + (g2^16*t^8.96)/g1^16 + (g2^8*t^8.98)/g1^8 - t^4.46/(g1^2*g2^2*y) - t^6.61/(g1^3*g2^11*y) - (g2*t^6.68)/(g1^7*y) - t^7.28/(g1^10*g2^10*y) + (2*t^7.37)/(g1^6*g2^6*y) + t^7.46/(g1^2*g2^2*y) + (g1^6*t^7.48)/(g2^10*y) + (g2^10*t^7.52)/(g1^6*y) + (2*g1^6*g2^6*t^7.63)/y + t^7.98/(g1^9*g2^17*y) + t^8.04/(g1^13*g2^5*y) + t^8.13/(g1^9*g2*y) + (2*t^8.15)/(g1*g2^9*y) + (g2^3*t^8.22)/(g1^5*y) + (3*g1^3*t^8.24)/(g2^5*y) + (4*g2^7*t^8.31)/(g1*y) + (g1^7*t^8.32)/(g2*y) + (2*g1^3*g2^11*t^8.39)/y + (2*g1^11*g2^3*t^8.41)/y - t^8.76/(g1^4*g2^20*y) - (g2^4*t^8.89)/(g1^12*y) + (3*t^8.91)/(g1^4*g2^4*y) + (g2^8*t^8.98)/(g1^8*y) - (t^4.46*y)/(g1^2*g2^2) - (t^6.61*y)/(g1^3*g2^11) - (g2*t^6.68*y)/g1^7 - (t^7.28*y)/(g1^10*g2^10) + (2*t^7.37*y)/(g1^6*g2^6) + (t^7.46*y)/(g1^2*g2^2) + (g1^6*t^7.48*y)/g2^10 + (g2^10*t^7.52*y)/g1^6 + 2*g1^6*g2^6*t^7.63*y + (t^7.98*y)/(g1^9*g2^17) + (t^8.04*y)/(g1^13*g2^5) + (t^8.13*y)/(g1^9*g2) + (2*t^8.15*y)/(g1*g2^9) + (g2^3*t^8.22*y)/g1^5 + (3*g1^3*t^8.24*y)/g2^5 + (4*g2^7*t^8.31*y)/g1 + (g1^7*t^8.32*y)/g2 + 2*g1^3*g2^11*t^8.39*y + 2*g1^11*g2^3*t^8.41*y - (t^8.76*y)/(g1^4*g2^20) - (g2^4*t^8.89*y)/g1^12 + (3*t^8.91*y)/(g1^4*g2^4) + (g2^8*t^8.98*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2891 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ | 0.6008 | 0.7925 | 0.758 | [X:[], M:[1.0, 0.9314, 1.1372, 0.9314, 0.7401, 0.8628], q:[0.7328, 0.2672], qb:[0.4584, 0.4044], phi:[0.5343]] | t^2.01 + t^2.18 + t^2.22 + t^2.59 + 2*t^2.79 + t^3. + t^3.41 + t^3.57 + t^3.62 + 2*t^4.03 + 2*t^4.19 + t^4.23 + 2*t^4.35 + t^4.4 + t^4.44 + t^4.6 + t^4.77 + 3*t^4.81 + 2*t^4.97 + 3*t^5.01 + 2*t^5.18 + t^5.22 + 2*t^5.38 + 4*t^5.59 + 2*t^5.63 + t^5.75 + 3*t^5.79 - 2*t^6. - t^4.6/y - t^4.6*y | detail | |
| 2890 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6466 | 0.8507 | 0.76 | [X:[], M:[1.0, 1.0338, 0.9324, 1.0338, 0.7334, 0.7159, 0.6996], q:[0.7584, 0.2416], qb:[0.542, 0.5256], phi:[0.4831]] | t^2.1 + t^2.15 + t^2.2 + t^2.3 + t^2.35 + t^2.8 + t^3. + 2*t^3.1 + t^3.75 + t^4.2 + t^4.25 + 2*t^4.3 + t^4.35 + 2*t^4.4 + 2*t^4.45 + 2*t^4.5 + t^4.55 + 2*t^4.6 + 2*t^4.65 + 2*t^4.7 + t^4.9 + t^4.95 + t^5. + t^5.1 + t^5.15 + 3*t^5.2 + 2*t^5.25 + 3*t^5.3 + t^5.35 + 2*t^5.4 + 2*t^5.45 + t^5.59 + t^5.8 + t^5.85 + 2*t^5.9 - 3*t^6. - t^4.45/y - t^4.45*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 |
|---|---|---|---|---|---|---|---|---|---|
| 523 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6062 | 0.7757 | 0.7814 | [X:[], M:[1.0, 1.0213, 0.9573, 1.0213, 0.7341], q:[0.7553, 0.2447], qb:[0.5319, 0.5108], phi:[0.4893]] | t^2.2 + t^2.27 + t^2.33 + t^2.87 + t^3. + 2*t^3.06 + t^3.73 + t^3.8 + t^3.86 + t^4.4 + t^4.47 + 3*t^4.53 + 2*t^4.6 + 2*t^4.66 + t^5.07 + t^5.2 + 3*t^5.27 + 3*t^5.33 + 2*t^5.39 + t^5.74 + t^5.87 + t^5.94 - t^6. - t^4.47/y - t^4.47*y | detail |