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 |
|---|---|---|---|---|---|---|---|---|---|
| 47917 | SU3adj1nf2 | $M_1\phi_1q_1\tilde{q}_1$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1^2X_1$ | 1.4047 | 1.592 | 0.8823 | [X:[1.371], M:[0.7758], q:[0.384, 0.6985], qb:[0.5257, 0.5047], phi:[0.3145]] | [X:[[0, 0, 4]], M:[[-1, 1, -5]], q:[[-1, -1, 7], [-1, -1, 5]], qb:[[2, 0, 0], [0, 2, 0]], phi:[[0, 0, -2]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1^3$, $ \phi_1q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ X_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1q_1\tilde{q}_2$, $ M_1\phi_1^3$, $ q_1^2\tilde{q}_2^2$, $ \phi_1q_1^2q_2$, $ q_1^2\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_1^2$, $ \phi_1^3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2^2$, $ \phi_1^3q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2\tilde{q}_2$, $ \phi_1^6$, $ M_1q_2\tilde{q}_2$ | . | -4 | t^2.33 + t^2.67 + t^2.73 + t^2.83 + 2*t^3.61 + t^3.67 + t^4.11 + 2*t^4.55 + 2*t^4.62 + t^4.65 + t^4.99 + t^5.16 + t^5.33 + t^5.34 + t^5.4 + t^5.46 + 2*t^5.5 + t^5.55 + 2*t^5.56 + t^5.61 + t^5.66 + t^5.94 - 4*t^6. - t^6.06 + 2*t^6.28 + 3*t^6.29 + 3*t^6.34 + t^6.4 + 3*t^6.44 + t^6.49 + t^6.5 + t^6.56 + t^6.78 + t^6.84 + t^6.88 - 2*t^6.94 + t^6.98 - t^7. - t^7.01 + 5*t^7.22 + 2*t^7.23 + 6*t^7.28 + t^7.32 + 3*t^7.35 + t^7.37 + 2*t^7.38 + t^7.44 + 2*t^7.45 + t^7.49 + t^7.5 + t^7.56 + t^7.66 - t^7.67 + t^7.72 - 2*t^7.73 + t^7.82 - 2*t^7.89 - 2*t^7.94 - t^7.95 + t^7.99 + t^8.01 + t^8.06 + t^8.07 + t^8.12 + 6*t^8.16 + 2*t^8.17 + t^8.19 + t^8.22 + 9*t^8.23 + t^8.26 + 2*t^8.28 + 4*t^8.29 - t^8.33 + t^8.34 + t^8.38 + 2*t^8.39 + t^8.44 + t^8.49 + t^8.6 - 5*t^8.67 - 3*t^8.68 - 6*t^8.73 + 2*t^8.77 - t^8.79 - t^8.82 - 4*t^8.83 - 3*t^8.88 - t^8.89 + 2*t^8.94 + 3*t^8.95 + t^8.83/y^2 - t^3.94/y - t^4.89/y - t^6.27/y - t^6.61/y - t^6.67/y - t^6.77/y - t^7.21/y - (2*t^7.55)/y - t^7.62/y - t^7.72/y + t^7.99/y + t^8.06/y + t^8.16/y + t^8.4/y - t^8.5/y - t^8.6/y + t^8.94/y - t^3.94*y - t^4.89*y - t^6.27*y - t^6.61*y - t^6.67*y - t^6.77*y - t^7.21*y - 2*t^7.55*y - t^7.62*y - t^7.72*y + t^7.99*y + t^8.06*y + t^8.16*y + t^8.4*y - t^8.5*y - t^8.6*y + t^8.94*y + t^8.83*y^2 | (g2*t^2.33)/(g1*g3^5) + (g2*g3^7*t^2.67)/g1 + (g1*g3^7*t^2.73)/g2 + t^2.83/g3^6 + (2*g2*g3^5*t^3.61)/g1 + (g1*g3^5*t^3.67)/g2 + g3^4*t^4.11 + (2*g2*g3^3*t^4.55)/g1 + (2*g1*g3^3*t^4.62)/g2 + (g2^2*t^4.65)/(g1^2*g3^10) + (g2^2*g3^2*t^4.99)/g1^2 + (g2*t^5.16)/(g1*g3^11) + (g2^2*g3^14*t^5.33)/g1^2 + (g3^17*t^5.34)/(g1^3*g2^3) + g3^14*t^5.4 + (g1^2*g3^14*t^5.46)/g2^2 + (2*g2*g3*t^5.5)/g1 + (g1^2*g2^4*t^5.55)/g3^2 + (2*g1*g3*t^5.56)/g2 + (g1^4*g2^2*t^5.61)/g3^2 + t^5.66/g3^12 + (g2^2*t^5.94)/g1^2 - 4*t^6. - (g1^2*t^6.06)/g2^2 + (2*g2^2*g3^12*t^6.28)/g1^2 + (3*g3^15*t^6.29)/(g1^3*g2^3) + 3*g3^12*t^6.34 + (g1^2*g3^12*t^6.4)/g2^2 + (3*g2*t^6.44)/(g1*g3) + (g1^2*g2^4*t^6.49)/g3^4 + (g1*t^6.5)/(g2*g3) + (g1^4*g2^2*t^6.56)/g3^4 + (g2*g3^11*t^6.78)/g1 + (g1*g3^11*t^6.84)/g2 + (g2^2*t^6.88)/(g1^2*g3^2) - (2*t^6.94)/g3^2 + (g2^3*t^6.98)/(g1^3*g3^15) - (g1^3*g2^3*t^7.)/g3^5 - (g1^2*t^7.01)/(g2^2*g3^2) + (5*g2^2*g3^10*t^7.22)/g1^2 + (2*g3^13*t^7.23)/(g1^3*g2^3) + 6*g3^10*t^7.28 + (g2^3*t^7.32)/(g1^3*g3^3) + (3*g1^2*g3^10*t^7.35)/g2^2 + (g2^6*t^7.37)/g3^6 + (2*g2*t^7.38)/(g1*g3^3) + (g1^2*g2^4*t^7.44)/g3^6 + (2*g1*t^7.45)/(g2*g3^3) + (g2^2*t^7.49)/(g1^2*g3^16) + (g1^4*g2^2*t^7.5)/g3^6 + (g1^6*t^7.56)/g3^6 + (g2^3*g3^9*t^7.66)/g1^3 - (g3^12*t^7.67)/(g1^4*g2^2) + (g2*g3^9*t^7.72)/g1 - (2*g3^12*t^7.73)/(g1^2*g2^4) + (g2^2*t^7.82)/(g1^2*g3^4) - (2*t^7.89)/g3^4 - (2*g1^3*g2^3*t^7.94)/g3^7 - (g1^2*t^7.95)/(g2^2*g3^4) + (g2*t^7.99)/(g1*g3^17) - (g1^5*g2*t^8.)/g3^7 + (g2^3*g3^21*t^8.)/g1^3 + (g3^24*t^8.01)/(g1^4*g2^2) + (g2*g3^21*t^8.06)/g1 + (g3^24*t^8.07)/(g1^2*g2^4) + (g1*g3^21*t^8.12)/g2 + (6*g2^2*g3^8*t^8.16)/g1^2 + (2*g3^11*t^8.17)/(g1^3*g2^3) + (g1^3*g3^21*t^8.19)/g2^3 + g1*g2^5*g3^5*t^8.22 + 9*g3^8*t^8.23 + (g2^3*t^8.26)/(g1^3*g3^5) + 2*g1^3*g2^3*g3^5*t^8.28 + (4*g1^2*g3^8*t^8.29)/g2^2 - (g2*t^8.33)/(g1*g3^5) + g1^5*g2*g3^5*t^8.34 + (g1^2*g2^4*t^8.38)/g3^8 + (2*g1*t^8.39)/(g2*g3^5) + (g1^4*g2^2*t^8.44)/g3^8 + t^8.49/g3^18 + (g2^3*g3^7*t^8.6)/g1^3 - (5*g2*g3^7*t^8.67)/g1 - (3*g3^10*t^8.68)/(g1^2*g2^4) - (6*g1*g3^7*t^8.73)/g2 + (2*g2^2*t^8.77)/(g1^2*g3^6) - (g1^3*g3^7*t^8.79)/g2^3 - (g1*g2^5*t^8.82)/g3^9 - (4*t^8.83)/g3^6 - (3*g1^3*g2^3*t^8.88)/g3^9 - (g1^2*t^8.89)/(g2^2*g3^6) + (2*g2^3*g3^19*t^8.94)/g1^3 - (2*g1^5*g2*t^8.95)/g3^9 + (5*g3^22*t^8.95)/(g1^4*g2^2) + t^8.83/(g3^6*y^2) - t^3.94/(g3^2*y) - t^4.89/(g3^4*y) - (g2*t^6.27)/(g1*g3^7*y) - (g2*g3^5*t^6.61)/(g1*y) - (g1*g3^5*t^6.67)/(g2*y) - t^6.77/(g3^8*y) - (g2*t^7.21)/(g1*g3^9*y) - (2*g2*g3^3*t^7.55)/(g1*y) - (g1*g3^3*t^7.62)/(g2*y) - t^7.72/(g3^10*y) + (g2^2*g3^2*t^7.99)/(g1^2*y) + (g3^2*t^8.06)/y + (g2*t^8.16)/(g1*g3^11*y) + (g3^14*t^8.4)/y - (g2*g3*t^8.5)/(g1*y) - (g2^2*t^8.6)/(g1^2*g3^12*y) + (g2^2*t^8.94)/(g1^2*y) - (t^3.94*y)/g3^2 - (t^4.89*y)/g3^4 - (g2*t^6.27*y)/(g1*g3^7) - (g2*g3^5*t^6.61*y)/g1 - (g1*g3^5*t^6.67*y)/g2 - (t^6.77*y)/g3^8 - (g2*t^7.21*y)/(g1*g3^9) - (2*g2*g3^3*t^7.55*y)/g1 - (g1*g3^3*t^7.62*y)/g2 - (t^7.72*y)/g3^10 + (g2^2*g3^2*t^7.99*y)/g1^2 + g3^2*t^8.06*y + (g2*t^8.16*y)/(g1*g3^11) + g3^14*t^8.4*y - (g2*g3*t^8.5*y)/g1 - (g2^2*t^8.6*y)/(g1^2*g3^12) + (g2^2*t^8.94*y)/g1^2 + (t^8.83*y^2)/g3^6 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47874 | SU3adj1nf2 | $M_1\phi_1q_1\tilde{q}_1$ | 1.4951 | 1.7264 | 0.866 | [X:[], M:[0.6735], q:[0.4945, 0.493], qb:[0.4945, 0.493], phi:[0.3375]] | t^2.02 + t^2.03 + 3*t^2.96 + t^2.97 + t^3.04 + 3*t^3.97 + t^4.04 + 2*t^4.05 + 5*t^4.98 + 7*t^4.99 + 2*t^5.06 + 2*t^5.45 + 2*t^5.46 + 7*t^5.92 + 3*t^5.93 + t^5.99 + t^6. - t^4.01/y - t^5.03/y - t^4.01*y - t^5.03*y | detail |