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 |
|---|---|---|---|---|---|---|---|---|---|
| 3701 | 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$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_3M_7$ | 0.6534 | 0.8169 | 0.7999 | [X:[1.6158, 1.3109], M:[0.8475, 0.6891, 1.1525, 0.3842, 0.7287, 0.7287, 0.8475], q:[0.404, 0.7485], qb:[0.4436, 0.8673], phi:[0.3842]] | [X:[[0, 1], [0, 7]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [2, -13], [-2, 4], [0, 3]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_7$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ X_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_5$, $ M_5M_7$, $ M_1M_6$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ X_1$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1q_1^2$, $ M_6\phi_1q_1^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ \phi_1^3q_1^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_6\phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | $\phi_1^3q_1\tilde{q}_1$ | -2 | 2*t^2.19 + t^2.3 + 2*t^2.54 + 2*t^3.58 + t^3.7 + t^3.93 + 3*t^4.37 + 2*t^4.49 + t^4.61 + 4*t^4.73 + 3*t^4.85 + 3*t^5.09 + 3*t^5.76 + 2*t^5.88 - 2*t^6. + 4*t^6.12 + 2*t^6.24 + 2*t^6.48 + 4*t^6.56 + 3*t^6.68 + 2*t^6.8 + 6*t^6.91 + 4*t^7.03 + 3*t^7.15 + 4*t^7.27 + 2*t^7.39 + 4*t^7.63 + t^7.87 + 4*t^7.95 + 2*t^8.07 - 4*t^8.19 + 3*t^8.3 + 2*t^8.42 - 5*t^8.54 + 4*t^8.66 + 5*t^8.74 + 3*t^8.78 + 4*t^8.86 + 3*t^8.98 - t^4.15/y - (2*t^6.34)/y - t^6.46/y - t^6.7/y + t^7.37/y + (2*t^7.49)/y + t^7.61/y + (4*t^7.73)/y + (3*t^7.85)/y + (2*t^7.97)/y + t^8.09/y - (3*t^8.52)/y - (2*t^8.64)/y + (3*t^8.76)/y + (2*t^8.88)/y - t^4.15*y - 2*t^6.34*y - t^6.46*y - t^6.7*y + t^7.37*y + 2*t^7.49*y + t^7.61*y + 4*t^7.73*y + 3*t^7.85*y + 2*t^7.97*y + t^8.09*y - 3*t^8.52*y - 2*t^8.64*y + 3*t^8.76*y + 2*t^8.88*y | (g1^2*t^2.19)/g2^13 + (g2^4*t^2.19)/g1^2 + t^2.3/g2^2 + 2*g2^3*t^2.54 + (g1^2*t^3.58)/g2^9 + (g2^8*t^3.58)/g1^2 + g2^2*t^3.7 + g2^7*t^3.93 + (g1^4*t^4.37)/g2^26 + t^4.37/g2^9 + (g2^8*t^4.37)/g1^4 + (g1^2*t^4.49)/g2^15 + (g2^2*t^4.49)/g1^2 + t^4.61/g2^4 + (2*g1^2*t^4.73)/g2^10 + (2*g2^7*t^4.73)/g1^2 + 3*g2*t^4.85 + 3*g2^6*t^5.09 + (g1^4*t^5.76)/g2^22 + t^5.76/g2^5 + (g2^12*t^5.76)/g1^4 + (g1^2*t^5.88)/g2^11 + (g2^6*t^5.88)/g1^2 - 2*t^6. + (2*g1^2*t^6.12)/g2^6 + (2*g2^11*t^6.12)/g1^2 + 2*g2^5*t^6.24 + 2*g2^10*t^6.48 + (g1^6*t^6.56)/g2^39 + (g1^2*t^6.56)/g2^22 + t^6.56/(g1^2*g2^5) + (g2^12*t^6.56)/g1^6 + (g1^4*t^6.68)/g2^28 + t^6.68/g2^11 + (g2^6*t^6.68)/g1^4 + t^6.8/g1^2 + (g1^2*t^6.8)/g2^17 + (2*g1^4*t^6.91)/g2^23 + (2*t^6.91)/g2^6 + (2*g2^11*t^6.91)/g1^4 + (2*g1^2*t^7.03)/g2^12 + (2*g2^5*t^7.03)/g1^2 + (g1^4*t^7.15)/g2^18 + t^7.15/g2 + (g2^16*t^7.15)/g1^4 + (2*g1^2*t^7.27)/g2^7 + (2*g2^10*t^7.27)/g1^2 + 2*g2^4*t^7.39 + 4*g2^9*t^7.63 + g2^14*t^7.87 + (g1^6*t^7.95)/g2^35 + (g1^2*t^7.95)/g2^18 + t^7.95/(g1^2*g2) + (g2^16*t^7.95)/g1^6 + (g1^4*t^8.07)/g2^24 + (g2^10*t^8.07)/g1^4 - (2*g1^2*t^8.19)/g2^13 - (2*g2^4*t^8.19)/g1^2 + (2*g1^4*t^8.3)/g2^19 - t^8.3/g2^2 + (2*g2^15*t^8.3)/g1^4 + (g1^2*t^8.42)/g2^8 + (g2^9*t^8.42)/g1^2 - 5*g2^3*t^8.54 + (2*g1^2*t^8.66)/g2^3 + (2*g2^14*t^8.66)/g1^2 + (g1^8*t^8.74)/g2^52 + (g1^4*t^8.74)/g2^35 + t^8.74/g2^18 + t^8.74/(g1^4*g2) + (g2^16*t^8.74)/g1^8 + 3*g2^8*t^8.78 + (g1^6*t^8.86)/g2^41 + (g1^2*t^8.86)/g2^24 + t^8.86/(g1^2*g2^7) + (g2^10*t^8.86)/g1^6 + (g1^4*t^8.98)/g2^30 + t^8.98/g2^13 + (g2^4*t^8.98)/g1^4 - t^4.15/(g2*y) - (g1^2*t^6.34)/(g2^14*y) - (g2^3*t^6.34)/(g1^2*y) - t^6.46/(g2^3*y) - (g2^2*t^6.7)/y + t^7.37/(g2^9*y) + (g1^2*t^7.49)/(g2^15*y) + (g2^2*t^7.49)/(g1^2*y) + t^7.61/(g2^4*y) + (2*g1^2*t^7.73)/(g2^10*y) + (2*g2^7*t^7.73)/(g1^2*y) + (3*g2*t^7.85)/y + (g1^2*t^7.97)/(g2^5*y) + (g2^12*t^7.97)/(g1^2*y) + (g2^6*t^8.09)/y - (g1^4*t^8.52)/(g2^27*y) - t^8.52/(g2^10*y) - (g2^7*t^8.52)/(g1^4*y) - (g1^2*t^8.64)/(g2^16*y) - (g2*t^8.64)/(g1^2*y) + (g1^4*t^8.76)/(g2^22*y) + t^8.76/(g2^5*y) + (g2^12*t^8.76)/(g1^4*y) + (g1^2*t^8.88)/(g2^11*y) + (g2^6*t^8.88)/(g1^2*y) - (t^4.15*y)/g2 - (g1^2*t^6.34*y)/g2^14 - (g2^3*t^6.34*y)/g1^2 - (t^6.46*y)/g2^3 - g2^2*t^6.7*y + (t^7.37*y)/g2^9 + (g1^2*t^7.49*y)/g2^15 + (g2^2*t^7.49*y)/g1^2 + (t^7.61*y)/g2^4 + (2*g1^2*t^7.73*y)/g2^10 + (2*g2^7*t^7.73*y)/g1^2 + 3*g2*t^7.85*y + (g1^2*t^7.97*y)/g2^5 + (g2^12*t^7.97*y)/g1^2 + g2^6*t^8.09*y - (g1^4*t^8.52*y)/g2^27 - (t^8.52*y)/g2^10 - (g2^7*t^8.52*y)/g1^4 - (g1^2*t^8.64*y)/g2^16 - (g2*t^8.64*y)/g1^2 + (g1^4*t^8.76*y)/g2^22 + (t^8.76*y)/g2^5 + (g2^12*t^8.76*y)/g1^4 + (g1^2*t^8.88*y)/g2^11 + (g2^6*t^8.88*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3965 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ + $ M_3M_7$ + $ M_8\phi_1^2$ | 0.6353 | 0.7844 | 0.8099 | [X:[1.614, 1.2982], M:[0.8421, 0.7018, 1.1579, 0.386, 0.7368, 0.7368, 0.8421, 1.2281], q:[0.4035, 0.7544], qb:[0.4386, 0.8596], phi:[0.386]] | 2*t^2.21 + 2*t^2.53 + 2*t^3.58 + 2*t^3.68 + t^3.89 + 3*t^4.42 + 4*t^4.74 + t^4.84 + 3*t^5.05 + 3*t^5.79 + 2*t^5.89 - 3*t^6. - t^4.16/y - t^4.16*y | detail | {a: 688/1083, c: 1699/2166, X1: 92/57, X2: 74/57, M1: 16/19, M2: 40/57, M3: 22/19, M4: 22/57, M5: 14/19, M6: 14/19, M7: 16/19, M8: 70/57, q1: 23/57, q2: 43/57, qb1: 25/57, qb2: 49/57, phi1: 22/57} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3265 | 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$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2X_2$ | 0.6406 | 0.7956 | 0.8052 | [X:[1.62, 1.3401], M:[0.86, 0.6599, 1.14, 0.38, 0.7099, 0.7099], q:[0.405, 0.735], qb:[0.455, 0.8851], phi:[0.38]] | 2*t^2.13 + t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.72 + t^4.02 + 3*t^4.26 + 2*t^4.41 + t^4.56 + 2*t^4.71 + 2*t^4.86 + t^5.16 + 2*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. - t^4.14/y - t^4.14*y | detail |