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 |
|---|---|---|---|---|---|---|---|---|---|
| 1815 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.7133 | 0.8853 | 0.8057 | [X:[], M:[0.9782, 0.7152, 1.0218, 0.6716, 0.9782], q:[0.4817, 0.5401], qb:[0.4965, 0.7883], phi:[0.4234]] | [X:[], M:[[1, -7], [-1, -1], [-1, 7], [1, -15], [1, -7]], q:[[0, -7], [-1, 14]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_2M_4$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_4\phi_1^2$, $ M_2\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$ | . | -3 | t^2.01 + t^2.15 + t^2.54 + 2*t^2.93 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.2 + t^4.25 + t^4.29 + t^4.34 + t^4.38 + t^4.51 + t^4.55 + t^4.69 + 2*t^4.95 + 3*t^5.08 + t^5.12 + t^5.26 + 2*t^5.47 + t^5.65 + 2*t^5.87 - 3*t^6. + 2*t^6.04 - t^6.13 - t^6.17 + 2*t^6.18 + 2*t^6.22 + t^6.26 + 2*t^6.31 + 2*t^6.35 + t^6.39 + t^6.44 + t^6.48 + t^6.53 + t^6.57 + t^6.66 + 2*t^6.7 + 2*t^6.74 + t^6.79 + t^6.83 + 2*t^6.96 + t^7.05 + 4*t^7.1 + 2*t^7.14 + 2*t^7.18 + 2*t^7.23 + t^7.27 + t^7.31 + t^7.36 + t^7.45 + 3*t^7.49 + 4*t^7.62 - t^7.71 - t^7.84 + 2*t^7.88 - t^7.97 + t^8.01 + 2*t^8.06 - 4*t^8.15 + 2*t^8.19 + t^8.23 + 2*t^8.32 + 2*t^8.37 + 4*t^8.41 + 3*t^8.45 + 3*t^8.5 - 2*t^8.54 + 3*t^8.58 + 2*t^8.63 + t^8.67 + t^8.72 + 3*t^8.76 + 4*t^8.8 + 3*t^8.85 + 2*t^8.89 - 6*t^8.93 + 3*t^8.98 - t^4.27/y - t^6.28/y - t^6.42/y - t^6.81/y + t^7.16/y - t^7.2/y + t^7.34/y + t^7.55/y + t^7.69/y + t^7.73/y + (2*t^7.95)/y + (2*t^8.08)/y + (2*t^8.12)/y + (2*t^8.26)/y - t^8.3/y - t^8.43/y + (2*t^8.47)/y - t^8.56/y + t^8.65/y + t^8.87/y - t^4.27*y - t^6.28*y - t^6.42*y - t^6.81*y + t^7.16*y - t^7.2*y + t^7.34*y + t^7.55*y + t^7.69*y + t^7.73*y + 2*t^7.95*y + 2*t^8.08*y + 2*t^8.12*y + 2*t^8.26*y - t^8.3*y - t^8.43*y + 2*t^8.47*y - t^8.56*y + t^8.65*y + t^8.87*y | (g1*t^2.01)/g2^15 + t^2.15/(g1*g2) + t^2.54/g2^4 + (2*g1*t^2.93)/g2^7 + g2^14*t^3.11 + t^3.81/g2^6 + (g1^2*t^4.03)/g2^30 + (2*t^4.16)/g2^16 + (g1*t^4.2)/g2^9 + (g1^2*t^4.25)/g2^2 + t^4.29/(g1^2*g2^2) + (g2^5*t^4.34)/g1 + g2^12*t^4.38 + (g2^26*t^4.51)/g1^2 + (g1*t^4.55)/g2^19 + t^4.69/(g1*g2^5) + (2*g1^2*t^4.95)/g2^22 + (3*t^5.08)/g2^8 + (g1*t^5.12)/g2 + (g2^13*t^5.26)/g1 + (2*g1*t^5.47)/g2^11 + g2^10*t^5.65 + (2*g1^2*t^5.87)/g2^14 - 3*t^6. + (g1^3*t^6.04)/g2^45 + g1*g2^7*t^6.04 - (g2^14*t^6.13)/g1^2 - (g2^21*t^6.17)/g1 + (2*g1*t^6.18)/g2^31 + (g1^2*t^6.22)/g2^24 + g2^28*t^6.22 + (g1^3*t^6.26)/g2^17 + (2*t^6.31)/(g1*g2^17) + (2*t^6.35)/g2^10 + (g1*t^6.39)/g2^3 + t^6.44/(g1^3*g2^3) + (g2^4*t^6.48)/g1^2 + (g2^11*t^6.53)/g1 + (g1^2*t^6.57)/g2^34 + (g2^25*t^6.66)/g1^3 + (2*t^6.7)/g2^20 + (2*g1*t^6.74)/g2^13 + (g1^2*t^6.79)/g2^6 + t^6.83/(g1^2*g2^6) + (2*g1^3*t^6.96)/g2^37 + (g2^22*t^7.05)/g1^2 + (4*g1*t^7.1)/g2^23 + (2*g1^2*t^7.14)/g2^16 + (2*g1^3*t^7.18)/g2^9 + (2*t^7.23)/(g1*g2^9) + t^7.27/g2^2 + g1*g2^5*t^7.31 + g1^2*g2^12*t^7.36 + (g2^19*t^7.45)/g1 + (2*g1^2*t^7.49)/g2^26 + g2^26*t^7.49 + (3*t^7.62)/g2^12 + (g2^40*t^7.62)/g1^2 - g1^2*g2^2*t^7.71 - g2^16*t^7.84 + (2*g1^3*t^7.88)/g2^29 - (g2^30*t^7.97)/g1^2 + (g1*t^8.01)/g2^15 + (g1^4*t^8.06)/g2^60 + (g1^2*t^8.06)/g2^8 - (4*t^8.15)/(g1*g2) + (2*g1^2*t^8.19)/g2^46 + (g1^3*t^8.23)/g2^39 + (g1^4*t^8.28)/g2^32 - (g2^13*t^8.28)/g1^3 + (3*t^8.32)/g2^32 - (g2^20*t^8.32)/g1^2 + (2*g1*t^8.37)/g2^25 + (4*g1^2*t^8.41)/g2^18 + (2*t^8.45)/(g1^2*g2^18) + (g1^3*t^8.45)/g2^11 + (2*t^8.5)/(g1*g2^11) + (g1^4*t^8.5)/g2^4 - (2*t^8.54)/g2^4 + (g1^3*t^8.58)/g2^49 + t^8.58/(g1^4*g2^4) + g1*g2^3*t^8.58 + (g2^3*t^8.63)/g1^3 + g1^2*g2^10*t^8.63 + (g2^10*t^8.67)/g1^2 + (2*g1*t^8.72)/g2^35 - (g2^17*t^8.72)/g1 + (g1^2*t^8.76)/g2^28 + 2*g2^24*t^8.76 + (3*g1^3*t^8.8)/g2^21 + (g2^24*t^8.8)/g1^4 + (2*t^8.85)/(g1*g2^21) + (g2^31*t^8.85)/g1^3 + t^8.89/g2^14 + (g2^38*t^8.89)/g1^2 - (6*g1*t^8.93)/g2^7 + (2*g1^4*t^8.98)/g2^52 + t^8.98/(g1^3*g2^7) - t^4.27/(g2^2*y) - (g1*t^6.28)/(g2^17*y) - t^6.42/(g1*g2^3*y) - t^6.81/(g2^6*y) + t^7.16/(g2^16*y) - (g1*t^7.2)/(g2^9*y) + (g2^5*t^7.34)/(g1*y) + (g1*t^7.55)/(g2^19*y) + t^7.69/(g1*g2^5*y) + (g2^2*t^7.73)/y + (2*g1^2*t^7.95)/(g2^22*y) + (2*t^8.08)/(g2^8*y) + (2*g1*t^8.12)/(g2*y) + (2*g2^13*t^8.26)/(g1*y) - (g1^2*t^8.3)/(g2^32*y) - t^8.43/(g2^18*y) + (2*g1*t^8.47)/(g2^11*y) - t^8.56/(g1^2*g2^4*y) + (g2^10*t^8.65)/y + (g1^2*t^8.87)/(g2^14*y) - (t^4.27*y)/g2^2 - (g1*t^6.28*y)/g2^17 - (t^6.42*y)/(g1*g2^3) - (t^6.81*y)/g2^6 + (t^7.16*y)/g2^16 - (g1*t^7.2*y)/g2^9 + (g2^5*t^7.34*y)/g1 + (g1*t^7.55*y)/g2^19 + (t^7.69*y)/(g1*g2^5) + g2^2*t^7.73*y + (2*g1^2*t^7.95*y)/g2^22 + (2*t^8.08*y)/g2^8 + (2*g1*t^8.12*y)/g2 + (2*g2^13*t^8.26*y)/g1 - (g1^2*t^8.3*y)/g2^32 - (t^8.43*y)/g2^18 + (2*g1*t^8.47*y)/g2^11 - (t^8.56*y)/(g1^2*g2^4) + g2^10*t^8.65*y + (g1^2*t^8.87*y)/g2^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2832 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_2M_6$ | 0.6933 | 0.8484 | 0.8171 | [X:[], M:[0.971, 0.7285, 1.029, 0.6706, 0.971, 1.2715], q:[0.4871, 0.5419], qb:[0.4839, 0.7876], phi:[0.4249]] | t^2.01 + t^2.55 + 2*t^2.91 + t^3.08 + t^3.81 + t^3.82 + t^4.02 + t^4.18 + t^4.19 + t^4.2 + t^4.35 + t^4.36 + t^4.53 + t^4.56 + 2*t^4.92 + t^5.09 + t^5.1 + 2*t^5.46 + t^5.63 + 3*t^5.83 + t^5.99 - 3*t^6. - t^4.27/y - t^4.27*y | detail | |
| 2833 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ | 0.6986 | 0.8555 | 0.8166 | [X:[1.3672], M:[0.9731, 0.6867, 1.0269, 0.6328, 0.9731, 0.9045], q:[0.4523, 0.5747], qb:[0.5208, 0.7925], phi:[0.4149]] | t^2.06 + t^2.49 + t^2.71 + 2*t^2.92 + t^3.73 + t^3.96 + t^4.1 + t^4.12 + t^4.16 + t^4.33 + t^4.37 + t^4.53 + t^4.55 + t^4.69 + t^4.77 + 3*t^4.98 + t^5.2 + 2*t^5.41 + t^5.43 + t^5.63 + 2*t^5.84 - 3*t^6. - t^4.24/y - t^4.24*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 |
|---|---|---|---|---|---|---|---|---|---|
| 365 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ | 0.7284 | 0.8958 | 0.8131 | [X:[], M:[0.9752, 0.8187, 1.0248, 0.7691, 0.9752], q:[0.4541, 0.5707], qb:[0.5212, 0.6602], phi:[0.4485]] | t^2.31 + t^2.46 + t^2.69 + 2*t^2.93 + t^3.28 + t^3.34 + t^4.07 + t^4.27 + t^4.42 + t^4.47 + t^4.61 + t^4.62 + t^4.69 + t^4.76 + t^4.77 + t^4.89 + t^4.91 + t^5. + t^5.04 + t^5.15 + 2*t^5.23 + t^5.31 + 2*t^5.38 + 2*t^5.62 + 2*t^5.85 + t^5.97 - 4*t^6. - t^4.35/y - t^4.35*y | detail |