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 |
|---|---|---|---|---|---|---|---|---|---|
| 136 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_3$ | 0.7087 | 0.8668 | 0.8176 | [X:[], M:[0.8239, 1.0587, 0.9413], q:[0.588, 0.588], qb:[0.4707, 0.4707], phi:[0.4707]] | [X:[], M:[[0, 6, 6], [0, -2, -2], [0, 2, 2]], q:[[-1, -6, -6], [1, 0, 0]], qb:[[0, 2, 0], [0, 0, 2]], phi:[[0, 1, 1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_3$, $ M_1\phi_1^2$, $ M_3^2$, $ M_3\phi_1^2$, $ \phi_1^4$ | $M_3q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$ | 0 | t^2.47 + 2*t^2.82 + 4*t^3.18 + 3*t^4.24 + 4*t^4.59 + 4*t^4.94 + 2*t^5.3 + 3*t^5.65 + 5*t^6.35 + 3*t^6.71 + 6*t^7.06 + 9*t^7.41 + t^7.42 + 7*t^7.76 + 2*t^7.77 + 8*t^8.12 + 4*t^8.47 - t^4.41/y - t^6.88/y - t^7.24/y + t^7.59/y + t^7.94/y + (2*t^8.3)/y + (5*t^8.65)/y - t^4.41*y - t^6.88*y - t^7.24*y + t^7.59*y + t^7.94*y + 2*t^8.3*y + 5*t^8.65*y | g2^6*g3^6*t^2.47 + 2*g2^2*g3^2*t^2.82 + g1*g2^2*t^3.18 + t^3.18/(g1*g2^4*g3^6) + t^3.18/(g1*g2^6*g3^4) + g1*g3^2*t^3.18 + g2^5*g3*t^4.24 + g2^3*g3^3*t^4.24 + g2*g3^5*t^4.24 + t^4.59/(g1*g2^3*g3^5) + t^4.59/(g1*g2^5*g3^3) + g1*g2^3*g3*t^4.59 + g1*g2*g3^3*t^4.59 + t^4.94/(g1^2*g2^11*g3^11) + t^4.94/(g2^5*g3^5) + g1^2*g2*g3*t^4.94 + g2^12*g3^12*t^4.94 + 2*g2^8*g3^8*t^5.3 + 3*g2^4*g3^4*t^5.65 - 4*t^6. - t^6./(g1^2*g2^6*g3^6) + (2*t^6.)/(g1*g2^2*g3^4) + (2*t^6.)/(g1*g2^4*g3^2) - (g2^2*t^6.)/g3^2 - (g3^2*t^6.)/g2^2 + 2*g1*g2^4*g3^2*t^6. + 2*g1*g2^2*g3^4*t^6. - g1^2*g2^6*g3^6*t^6. - (g1*t^6.35)/g2^2 + g1^2*g2^4*t^6.35 + t^6.35/(g1^2*g2^8*g3^12) + t^6.35/(g1^2*g2^10*g3^10) + t^6.35/(g1^2*g2^12*g3^8) - t^6.35/(g1*g2^6*g3^8) - t^6.35/(g1*g2^8*g3^6) + t^6.35/(g2^2*g3^6) + t^6.35/(g2^4*g3^4) - (g1*t^6.35)/g3^2 + t^6.35/(g2^6*g3^2) + g1^2*g2^2*g3^2*t^6.35 + g1^2*g3^4*t^6.35 + g2^11*g3^7*t^6.71 + g2^9*g3^9*t^6.71 + g2^7*g3^11*t^6.71 + 2*g2^7*g3^3*t^7.06 + 2*g2^5*g3^5*t^7.06 + 2*g2^3*g3^7*t^7.06 + (g2*t^7.41)/(g1*g3^5) + (3*t^7.41)/(g1*g2*g3^3) + (3*t^7.41)/(g1*g2^3*g3) - (2*g2^3*t^7.41)/g3 + (g3*t^7.41)/(g1*g2^5) - 3*g2*g3*t^7.41 + g1*g2^7*g3*t^7.41 - (2*g3^3*t^7.41)/g2 + 3*g1*g2^5*g3^3*t^7.41 + 3*g1*g2^3*g3^5*t^7.41 + g1*g2*g3^7*t^7.41 + g2^18*g3^18*t^7.42 + t^7.76/(g1^2*g2^7*g3^11) + (3*t^7.76)/(g1^2*g2^9*g3^9) + t^7.76/(g1^2*g2^11*g3^7) - (2*t^7.76)/(g1*g2^5*g3^7) - (2*t^7.76)/(g1*g2^7*g3^5) + t^7.76/(g2*g3^5) + (3*t^7.76)/(g2^3*g3^3) + t^7.76/(g2^5*g3) - (2*g1*g2*t^7.76)/g3 - (2*g1*g3*t^7.76)/g2 + g1^2*g2^5*g3*t^7.76 + 3*g1^2*g2^3*g3^3*t^7.76 + g1^2*g2*g3^5*t^7.76 + 2*g2^14*g3^14*t^7.77 + t^8.12/(g1^3*g2^15*g3^17) + t^8.12/(g1^3*g2^17*g3^15) - t^8.12/(g1^2*g2^13*g3^13) + t^8.12/(g1*g2^9*g3^11) + t^8.12/(g1*g2^11*g3^9) - t^8.12/(g2^7*g3^7) + (g1*t^8.12)/(g2^3*g3^5) + (g1*t^8.12)/(g2^5*g3^3) - (g1^2*t^8.12)/(g2*g3) + g1^3*g2^3*g3*t^8.12 + g1^3*g2*g3^3*t^8.12 + 3*g2^10*g3^10*t^8.12 + g2^10*g3^2*t^8.47 + 2*g2^6*g3^6*t^8.47 + g2^2*g3^10*t^8.47 + (4*t^8.82)/(g1*g2^2) - 3*g2^4*t^8.82 - (2*t^8.82)/(g1^2*g2^4*g3^4) + (g2^2*t^8.82)/(g1*g3^4) + (4*t^8.82)/(g1*g3^2) + (g3^2*t^8.82)/(g1*g2^4) - 10*g2^2*g3^2*t^8.82 + g1*g2^8*g3^2*t^8.82 - 3*g3^4*t^8.82 + 4*g1*g2^6*g3^4*t^8.82 + 4*g1*g2^4*g3^6*t^8.82 + g1*g2^2*g3^8*t^8.82 - 2*g1^2*g2^8*g3^8*t^8.82 - (g2*g3*t^4.41)/y - (g2^7*g3^7*t^6.88)/y - (g2^3*g3^3*t^7.24)/y + t^7.59/(g2*g3*y) + t^7.94/(g2^5*g3^5*y) + (2*g2^8*g3^8*t^8.3)/y + (g2^2*t^8.65)/(g1*y) + (g3^2*t^8.65)/(g1*y) + (g2^4*g3^4*t^8.65)/y + (g1*g2^8*g3^6*t^8.65)/y + (g1*g2^6*g3^8*t^8.65)/y - g2*g3*t^4.41*y - g2^7*g3^7*t^6.88*y - g2^3*g3^3*t^7.24*y + (t^7.59*y)/(g2*g3) + (t^7.94*y)/(g2^5*g3^5) + 2*g2^8*g3^8*t^8.3*y + (g2^2*t^8.65*y)/g1 + (g3^2*t^8.65*y)/g1 + g2^4*g3^4*t^8.65*y + g1*g2^8*g3^6*t^8.65*y + g1*g2^6*g3^8*t^8.65*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 |
|---|---|---|---|---|---|---|---|---|
| 1719 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_2M_3$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.597 | 0.722 | 0.8269 | [X:[1.6], M:[0.4, 1.2, 0.8], q:[0.8, 0.8], qb:[0.4, 0.4], phi:[0.4]] | 2*t^2.4 + 7*t^3.6 + 4*t^4.8 + 5*t^6. - t^4.2/y - t^4.2*y | detail | {a: 597/1000, c: 361/500, X1: 8/5, M1: 2/5, M2: 6/5, M3: 4/5, q1: 4/5, q2: 4/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 82 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ | 0.7036 | 0.8583 | 0.8198 | [X:[], M:[0.8504, 1.0499], q:[0.5748, 0.5748], qb:[0.4751, 0.4751], phi:[0.4751]] | t^2.55 + t^2.85 + 5*t^3.15 + 3*t^4.28 + 4*t^4.57 + 3*t^4.87 + t^5.1 + t^5.4 + 2*t^5.7 - 3*t^6. - t^4.43/y - t^4.43*y | detail |