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 |
|---|---|---|---|---|---|---|---|---|---|
| 2955 | 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$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6954 | 0.8879 | 0.7832 | [X:[], M:[0.8319, 1.056, 1.1681, 0.7198, 0.8319, 0.6725], q:[0.4041, 0.764], qb:[0.4278, 0.5162], phi:[0.472]] | [X:[], M:[[-12], [4], [12], [-20], [-12], [48]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1^2$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_6$, $ M_5M_6$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_4M_5$, $ M_6q_1\tilde{q}_2$, $ M_6\phi_1^2$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2M_6$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ q_1^2\tilde{q}_2^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ M_6\phi_1q_1^2$, $ M_6\phi_1q_1\tilde{q}_1$ | $M_4\phi_1q_1^2$ | -1 | t^2.02 + t^2.16 + 2*t^2.5 + t^2.76 + t^2.83 + t^3.17 + t^3.58 + t^3.84 + t^3.91 + t^4.03 + 2*t^4.18 + t^4.25 + t^4.32 + 3*t^4.51 + 2*t^4.66 + t^4.78 + t^4.85 + t^4.92 + 4*t^4.99 + t^5.19 + 2*t^5.26 + 3*t^5.33 + t^5.52 + 2*t^5.59 + 2*t^5.66 + t^5.86 + t^5.93 - t^6. + t^6.05 + 2*t^6.07 + 2*t^6.19 + 3*t^6.34 + 3*t^6.41 + t^6.48 + 3*t^6.53 + t^6.6 + 5*t^6.67 + 2*t^6.74 + t^6.8 + 2*t^6.81 + t^6.87 + 2*t^6.94 + 6*t^7.01 + 3*t^7.15 + t^7.2 + 3*t^7.27 + 3*t^7.34 + 6*t^7.49 + t^7.54 + 2*t^7.61 + 2*t^7.68 + 3*t^7.75 + 5*t^7.82 + t^7.88 + t^7.95 + t^8.02 + t^8.07 + 4*t^8.09 + t^8.16 + 2*t^8.21 + t^8.28 + 5*t^8.35 + 2*t^8.42 - 2*t^8.5 + 3*t^8.55 + 3*t^8.57 + t^8.62 + t^8.64 + 6*t^8.69 - t^8.76 + t^8.81 + 2*t^8.83 + t^8.88 + 4*t^8.9 + 2*t^8.96 + 2*t^8.97 - t^4.42/y - t^6.43/y - t^6.58/y - t^6.91/y + t^7.18/y + (2*t^7.51)/y + (2*t^7.66)/y + t^7.78/y + t^7.85/y + (2*t^7.92)/y + (2*t^7.99)/y + t^8.19/y + (3*t^8.26)/y + (3*t^8.33)/y + t^8.4/y - t^8.45/y + t^8.59/y + (2*t^8.66)/y + t^8.86/y + t^8.93/y - t^4.42*y - t^6.43*y - t^6.58*y - t^6.91*y + t^7.18*y + 2*t^7.51*y + 2*t^7.66*y + t^7.78*y + t^7.85*y + 2*t^7.92*y + 2*t^7.99*y + t^8.19*y + 3*t^8.26*y + 3*t^8.33*y + t^8.4*y - t^8.45*y + t^8.59*y + 2*t^8.66*y + t^8.86*y + t^8.93*y | g1^48*t^2.02 + t^2.16/g1^20 + (2*t^2.5)/g1^12 + g1^30*t^2.76 + t^2.83/g1^4 + g1^4*t^3.17 + t^3.58/g1^22 + g1^20*t^3.84 + t^3.91/g1^14 + g1^96*t^4.03 + 2*g1^28*t^4.18 + t^4.25/g1^6 + t^4.32/g1^40 + 3*g1^36*t^4.51 + (2*t^4.66)/g1^32 + g1^78*t^4.78 + g1^44*t^4.85 + g1^10*t^4.92 + (4*t^4.99)/g1^24 + g1^52*t^5.19 + 2*g1^18*t^5.26 + (3*t^5.33)/g1^16 + g1^60*t^5.52 + 2*g1^26*t^5.59 + (2*t^5.66)/g1^8 + g1^68*t^5.86 + g1^34*t^5.93 - t^6. + g1^144*t^6.05 + (2*t^6.07)/g1^34 + 2*g1^76*t^6.19 + 3*g1^8*t^6.34 + (3*t^6.41)/g1^26 + t^6.48/g1^60 + 3*g1^84*t^6.53 + g1^50*t^6.6 + 5*g1^16*t^6.67 + (2*t^6.74)/g1^18 + g1^126*t^6.8 + (2*t^6.81)/g1^52 + g1^92*t^6.87 + 2*g1^58*t^6.94 + 6*g1^24*t^7.01 + (3*t^7.15)/g1^44 + g1^100*t^7.2 + 3*g1^66*t^7.27 + 3*g1^32*t^7.34 + (6*t^7.49)/g1^36 + g1^108*t^7.54 + 2*g1^74*t^7.61 + 2*g1^40*t^7.68 + 3*g1^6*t^7.75 + (5*t^7.82)/g1^28 + g1^116*t^7.88 + g1^82*t^7.95 + g1^48*t^8.02 + g1^192*t^8.07 + 4*g1^14*t^8.09 + t^8.16/g1^20 + 2*g1^124*t^8.21 + g1^90*t^8.28 + 5*g1^56*t^8.35 + 2*g1^22*t^8.42 - (2*t^8.5)/g1^12 + 3*g1^132*t^8.55 + (3*t^8.57)/g1^46 + g1^98*t^8.62 + t^8.64/g1^80 + 6*g1^64*t^8.69 - g1^30*t^8.76 + g1^174*t^8.81 + (2*t^8.83)/g1^4 + g1^140*t^8.88 + (4*t^8.9)/g1^38 + 2*g1^106*t^8.96 + (2*t^8.97)/g1^72 - t^4.42/(g1^2*y) - (g1^46*t^6.43)/y - t^6.58/(g1^22*y) - t^6.91/(g1^14*y) + (g1^28*t^7.18)/y + (2*g1^36*t^7.51)/y + (2*t^7.66)/(g1^32*y) + (g1^78*t^7.78)/y + (g1^44*t^7.85)/y + (2*g1^10*t^7.92)/y + (2*t^7.99)/(g1^24*y) + (g1^52*t^8.19)/y + (3*g1^18*t^8.26)/y + (3*t^8.33)/(g1^16*y) + t^8.4/(g1^50*y) - (g1^94*t^8.45)/y + (g1^26*t^8.59)/y + (2*t^8.66)/(g1^8*y) + (g1^68*t^8.86)/y + (g1^34*t^8.93)/y - (t^4.42*y)/g1^2 - g1^46*t^6.43*y - (t^6.58*y)/g1^22 - (t^6.91*y)/g1^14 + g1^28*t^7.18*y + 2*g1^36*t^7.51*y + (2*t^7.66*y)/g1^32 + g1^78*t^7.78*y + g1^44*t^7.85*y + 2*g1^10*t^7.92*y + (2*t^7.99*y)/g1^24 + g1^52*t^8.19*y + 3*g1^18*t^8.26*y + (3*t^8.33*y)/g1^16 + (t^8.4*y)/g1^50 - g1^94*t^8.45*y + g1^26*t^8.59*y + (2*t^8.66*y)/g1^8 + g1^68*t^8.86*y + g1^34*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 3543 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.7006 | 0.8964 | 0.7816 | [X:[], M:[0.8306, 1.0565, 1.1694, 0.7176, 0.8306, 0.6777, 0.9435], q:[0.4053, 0.7641], qb:[0.4253, 0.5183], phi:[0.4718]] | t^2.03 + t^2.15 + 2*t^2.49 + t^2.77 + 2*t^2.83 + t^3.57 + t^3.85 + t^3.91 + t^4.07 + 2*t^4.19 + t^4.25 + t^4.31 + 3*t^4.52 + 2*t^4.64 + t^4.8 + 2*t^4.86 + t^4.92 + 5*t^4.98 + 2*t^5.26 + 4*t^5.32 + t^5.54 + 3*t^5.6 + 2*t^5.66 + t^5.88 - 2*t^6. - t^4.42/y - t^4.42*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1918 | 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$ + $ M_2\phi_1^2$ + $ \phi_1q_2^2$ | 0.6746 | 0.8467 | 0.7967 | [X:[], M:[0.831, 1.0563, 1.169, 0.7183, 0.831], q:[0.4049, 0.7641], qb:[0.426, 0.5176], phi:[0.4718]] | t^2.15 + 2*t^2.49 + t^2.77 + t^2.83 + t^3.17 + t^3.57 + t^3.85 + t^3.91 + t^3.97 + t^4.18 + t^4.25 + t^4.31 + t^4.52 + 2*t^4.65 + t^4.92 + 4*t^4.99 + 2*t^5.26 + 3*t^5.32 + t^5.54 + t^5.6 + 2*t^5.66 - t^6. - t^4.42/y - t^4.42*y | detail |