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 |
|---|---|---|---|---|---|---|---|---|---|
| 55719 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2q_3\tilde{q}_1$ + $ M_1\tilde{q}_2\tilde{q}_3$ | 0.8691 | 1.0641 | 0.8168 | [X:[], M:[0.8804, 0.7989], q:[0.7201, 0.7201, 0.6005], qb:[0.6005, 0.5598, 0.5598], phi:[0.5598]] | [X:[], M:[[0, 0, -2, -2], [0, 0, 5, 5]], q:[[-1, 0, -1, -1], [1, 0, 0, 0], [0, -1, -5, -5]], qb:[[0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], phi:[[0, 0, 1, 1]]] | 4 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ \tilde{q}_2\tilde{q}_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ q_1q_2$, $ M_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_2$, $ \phi_1\tilde{q}_2\tilde{q}_3$, $ \phi_1q_3\tilde{q}_2$, $ \phi_1q_3^2$, $ M_1^2$, $ \phi_1q_3\tilde{q}_1$, $ M_2\tilde{q}_2\tilde{q}_3$ | . | -8 | t^2.4 + t^2.64 + t^3.36 + 4*t^3.48 + 4*t^3.84 + 4*t^3.96 + t^4.32 + t^4.79 + 4*t^5.04 + 4*t^5.16 + 4*t^5.28 + t^5.76 - 8*t^6. + 4*t^6.24 + 4*t^6.6 + 2*t^6.72 + 4*t^6.84 + 10*t^6.96 + t^7.19 + 12*t^7.32 + 4*t^7.43 + 12*t^7.44 + 6*t^7.68 + 12*t^7.8 + 10*t^7.92 + t^8.15 - 2*t^8.4 + 12*t^8.52 + 4*t^8.63 + 5*t^8.64 + 8*t^8.76 + 8*t^8.88 - t^4.68/y - t^7.08/y + t^8.04/y + t^8.28/y + t^8.76/y + (4*t^8.88)/y - t^4.68*y - t^7.08*y + t^8.04*y + t^8.28*y + t^8.76*y + 4*t^8.88*y | g3^5*g4^5*t^2.4 + t^2.64/(g3^2*g4^2) + g3^2*g4^2*t^3.36 + g2*g3^2*t^3.48 + t^3.48/(g2*g3^3*g4^5) + t^3.48/(g2*g3^5*g4^3) + g2*g4^2*t^3.48 + g1*g3^2*t^3.84 + (g3*t^3.84)/(g1*g4) + (g4*t^3.84)/(g1*g3) + g1*g4^2*t^3.84 + g1*g2*t^3.96 + t^3.96/(g1*g2*g3^6*g4^6) + (g1*t^3.96)/(g2*g3^5*g4^5) + (g2*t^3.96)/(g1*g3*g4) + t^4.32/(g3*g4) + g3^10*g4^10*t^4.79 + g3^5*g4*t^5.04 + 2*g3^3*g4^3*t^5.04 + g3*g4^5*t^5.04 + t^5.16/(g2*g3^2*g4^4) + t^5.16/(g2*g3^4*g4^2) + g2*g3^3*g4*t^5.16 + g2*g3*g4^3*t^5.16 + t^5.28/(g2^2*g3^9*g4^9) + (2*t^5.28)/(g3^4*g4^4) + g2^2*g3*g4*t^5.28 + g3^7*g4^7*t^5.76 - 4*t^6. - t^6./(g2^2*g3^5*g4^5) - (g3^2*t^6.)/g4^2 - (g4^2*t^6.)/g3^2 - g2^2*g3^5*g4^5*t^6. + (g3^6*g4^4*t^6.24)/g1 + g1*g3^7*g4^5*t^6.24 + (g3^4*g4^6*t^6.24)/g1 + g1*g3^5*g4^7*t^6.24 + t^6.6/(g1*g2*g3^8*g4^8) + (g1*t^6.6)/(g2*g3^7*g4^7) + (g2*t^6.6)/(g1*g3^3*g4^3) + (g1*g2*t^6.6)/(g3^2*g4^2) + 2*g3^4*g4^4*t^6.72 + t^6.84/(g2*g3*g4^3) + t^6.84/(g2*g3^3*g4) + g2*g3^4*g4^2*t^6.84 + g2*g3^2*g4^4*t^6.84 + g2^2*g3^4*t^6.96 + t^6.96/(g2^2*g3^6*g4^10) + t^6.96/(g2^2*g3^8*g4^8) + t^6.96/(g2^2*g3^10*g4^6) + t^6.96/(g3*g4^5) + (2*t^6.96)/(g3^3*g4^3) + t^6.96/(g3^5*g4) + g2^2*g3^2*g4^2*t^6.96 + g2^2*g4^4*t^6.96 + g3^15*g4^15*t^7.19 + g1*g2*g3^4*t^7.32 + t^7.32/(g1*g2*g3^2*g4^6) + (g1*t^7.32)/(g2*g3*g4^5) + t^7.32/(g1*g2*g3^4*g4^4) + (g1*t^7.32)/(g2*g3^3*g4^3) + t^7.32/(g1*g2*g3^6*g4^2) + (g1*t^7.32)/(g2*g3^5*g4) + (g2*g3^3*t^7.32)/(g1*g4) + (g2*g3*g4*t^7.32)/g1 + g1*g2*g3^2*g4^2*t^7.32 + (g2*g4^3*t^7.32)/(g1*g3) + g1*g2*g4^4*t^7.32 + g3^10*g4^6*t^7.43 + 2*g3^8*g4^8*t^7.43 + g3^6*g4^10*t^7.43 + g1*g2^2*g3^2*t^7.44 + t^7.44/(g1*g2^2*g3^9*g4^11) + (g1*t^7.44)/(g2^2*g3^8*g4^10) + t^7.44/(g1*g2^2*g3^11*g4^9) + (g1*t^7.44)/(g2^2*g3^10*g4^8) + t^7.44/(g1*g3^4*g4^6) + (g1*t^7.44)/(g3^3*g4^5) + t^7.44/(g1*g3^6*g4^4) + (g1*t^7.44)/(g3^5*g4^3) + (g2^2*g3*t^7.44)/(g1*g4) + (g2^2*g4*t^7.44)/(g1*g3) + g1*g2^2*g4^2*t^7.44 + t^7.68/g1^2 + g1^2*g3^4*t^7.68 + (g3^2*t^7.68)/(g1^2*g4^2) + (g4^2*t^7.68)/(g1^2*g3^2) + g1^2*g3^2*g4^2*t^7.68 + g1^2*g4^4*t^7.68 + (g2*t^7.8)/(g1^2*g3^2) + g1^2*g2*g3^2*t^7.8 + t^7.8/(g1^2*g2*g3^5*g4^7) + t^7.8/(g2*g3^4*g4^6) + t^7.8/(g1^2*g2*g3^7*g4^5) + (g1^2*t^7.8)/(g2*g3^3*g4^5) + t^7.8/(g2*g3^6*g4^4) + (g1^2*t^7.8)/(g2*g3^5*g4^3) + (g2*t^7.8)/(g1^2*g4^2) + (g2*g3*t^7.8)/g4 + (g2*g4*t^7.8)/g3 + g1^2*g2*g4^2*t^7.8 + g1^2*g2^2*t^7.92 + t^7.92/(g1^2*g2^2*g3^12*g4^12) + t^7.92/(g2^2*g3^11*g4^11) + (g1^2*t^7.92)/(g2^2*g3^10*g4^10) + t^7.92/(g1^2*g3^7*g4^7) + (2*t^7.92)/(g3^6*g4^6) + (g1^2*t^7.92)/(g3^5*g4^5) + (g2^2*t^7.92)/(g1^2*g3^2*g4^2) + (g2^2*t^7.92)/(g3*g4) + g3^12*g4^12*t^8.15 - 2*g3^5*g4^5*t^8.4 + (2*t^8.52)/(g2*g3^2) + (g3^2*t^8.52)/(g2*g4^4) + (2*t^8.52)/(g2*g4^2) + g2*g3^7*g4*t^8.52 + (g4^2*t^8.52)/(g2*g3^4) + 2*g2*g3^5*g4^3*t^8.52 + 2*g2*g3^3*g4^5*t^8.52 + g2*g3*g4^7*t^8.52 + (g3^11*g4^9*t^8.63)/g1 + g1*g3^12*g4^10*t^8.63 + (g3^9*g4^11*t^8.63)/g1 + g1*g3^10*g4^12*t^8.63 + t^8.64/g3^4 + t^8.64/(g2^2*g3^5*g4^9) + t^8.64/(g2^2*g3^7*g4^7) + t^8.64/(g2^2*g3^9*g4^5) + t^8.64/g4^4 - t^8.64/(g1^2*g3^3*g4^3) - t^8.64/(g3^2*g4^2) - (g1^2*t^8.64)/(g3*g4) + g2^2*g3^5*g4*t^8.64 + g2^2*g3^3*g4^3*t^8.64 + g2^2*g3*g4^5*t^8.64 + t^8.76/(g2^3*g3^12*g4^14) + t^8.76/(g2^3*g3^14*g4^12) + t^8.76/(g2*g3^7*g4^9) + t^8.76/(g2*g3^9*g4^7) + (g2*t^8.76)/(g3^2*g4^4) + (g2*t^8.76)/(g3^4*g4^2) + g2^3*g3^3*g4*t^8.76 + g2^3*g3*g4^3*t^8.76 + (g3^6*t^8.88)/g1 + g1*g3^7*g4*t^8.88 + (g3^4*g4^2*t^8.88)/g1 + g1*g3^5*g4^3*t^8.88 + (g3^2*g4^4*t^8.88)/g1 + g1*g3^3*g4^5*t^8.88 + (g4^6*t^8.88)/g1 + g1*g3*g4^7*t^8.88 - (g3*g4*t^4.68)/y - (g3^6*g4^6*t^7.08)/y + (g3^3*g4^3*t^8.04)/y + t^8.28/(g3^4*g4^4*y) + (g3^7*g4^7*t^8.76)/y + (g3^2*t^8.88)/(g2*y) + (g4^2*t^8.88)/(g2*y) + (g2*g3^7*g4^5*t^8.88)/y + (g2*g3^5*g4^7*t^8.88)/y - g3*g4*t^4.68*y - g3^6*g4^6*t^7.08*y + g3^3*g4^3*t^8.04*y + (t^8.28*y)/(g3^4*g4^4) + g3^7*g4^7*t^8.76*y + (g3^2*t^8.88*y)/g2 + (g4^2*t^8.88*y)/g2 + g2*g3^7*g4^5*t^8.88*y + g2*g3^5*g4^7*t^8.88*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55680 | SU2adj1nf3 | $\phi_1q_1q_2$ + $ M_1\phi_1^2$ + $ M_2q_3\tilde{q}_1$ | 0.8691 | 1.0645 | 0.8165 | [X:[], M:[0.8785, 0.7991], q:[0.7196, 0.7196, 0.6005], qb:[0.6005, 0.5584, 0.5584], phi:[0.5607]] | t^2.4 + t^2.64 + t^3.35 + 4*t^3.48 + 4*t^3.83 + 4*t^3.96 + t^4.32 + t^4.79 + 4*t^5.03 + 4*t^5.16 + t^5.27 + 3*t^5.29 + t^5.75 + t^5.99 - 9*t^6. - t^4.68/y - t^4.68*y | detail |