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 |
|---|---|---|---|---|---|---|---|---|---|
| 3872 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3X_1$ + $ M_1M_7$ | 0.6347 | 0.7812 | 0.8125 | [X:[1.3115], M:[0.7283, 0.808, 0.6885, 0.8478, 1.1522, 0.7682, 1.2717], q:[0.8677, 0.404], qb:[0.4438, 0.7482], phi:[0.3841]] | [X:[[28]], M:[[-18], [2], [-28], [12], [-12], [-8], [18]], q:[[17], [1]], qb:[[11], [-13]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_5$, $ \phi_1q_2^2$, $ M_7$, $ \phi_1\tilde{q}_1^2$, $ X_1$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_6$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_4M_6$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_2M_5$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$ | . | -1 | 2*t^2.3 + t^2.42 + t^2.54 + t^3.46 + t^3.58 + 2*t^3.81 + t^3.93 + 3*t^4.61 + 2*t^4.73 + 4*t^4.85 + t^4.97 + t^5.09 + t^5.76 + t^5.88 - t^6. + 3*t^6.12 + 3*t^6.24 + 3*t^6.36 + t^6.48 + 4*t^6.91 + 2*t^7.03 + 5*t^7.15 + 2*t^7.27 + 3*t^7.39 + 3*t^7.63 + 2*t^7.75 + t^7.87 + t^8.07 - 3*t^8.3 + 6*t^8.66 + 4*t^8.78 + 3*t^8.9 - t^4.15/y - (2*t^6.46)/y - t^6.58/y + t^7.61/y + (3*t^7.73)/y + (4*t^7.85)/y + t^7.97/y - t^8.76/y + t^8.88/y - t^4.15*y - 2*t^6.46*y - t^6.58*y + t^7.61*y + 3*t^7.73*y + 4*t^7.85*y + t^7.97*y - t^8.76*y + t^8.88*y | (2*t^2.3)/g1^8 + g1^2*t^2.42 + g1^12*t^2.54 + t^3.46/g1^12 + t^3.58/g1^2 + 2*g1^18*t^3.81 + g1^28*t^3.93 + (3*t^4.61)/g1^16 + (2*t^4.73)/g1^6 + 4*g1^4*t^4.85 + g1^14*t^4.97 + g1^24*t^5.09 + t^5.76/g1^20 + t^5.88/g1^10 - t^6. + 3*g1^10*t^6.12 + 3*g1^20*t^6.24 + 3*g1^30*t^6.36 + g1^40*t^6.48 + (4*t^6.91)/g1^24 + (2*t^7.03)/g1^14 + (5*t^7.15)/g1^4 + 2*g1^6*t^7.27 + 3*g1^16*t^7.39 + 3*g1^36*t^7.63 + 2*g1^46*t^7.75 + g1^56*t^7.87 + t^8.07/g1^28 - (3*t^8.3)/g1^8 + 6*g1^22*t^8.66 + 4*g1^32*t^8.78 + 3*g1^42*t^8.9 - t^4.15/(g1^4*y) - (2*t^6.46)/(g1^12*y) - t^6.58/(g1^2*y) + t^7.61/(g1^16*y) + (3*t^7.73)/(g1^6*y) + (4*g1^4*t^7.85)/y + (g1^14*t^7.97)/y - t^8.76/(g1^20*y) + t^8.88/(g1^10*y) - (t^4.15*y)/g1^4 - (2*t^6.46*y)/g1^12 - (t^6.58*y)/g1^2 + (t^7.61*y)/g1^16 + (3*t^7.73*y)/g1^6 + 4*g1^4*t^7.85*y + g1^14*t^7.97*y - (t^8.76*y)/g1^20 + (t^8.88*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3393 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_3X_1$ | 0.6548 | 0.8185 | 0.8 | [X:[1.3333], M:[0.7143, 0.8095, 0.6667, 0.8571, 1.1429, 0.7619], q:[0.881, 0.4048], qb:[0.4524, 0.7381], phi:[0.381]] | t^2.14 + 2*t^2.29 + t^2.43 + t^2.57 + t^3.43 + t^3.57 + t^3.86 + t^4. + t^4.29 + 2*t^4.43 + 4*t^4.57 + 3*t^4.71 + 4*t^4.86 + t^5. + t^5.14 + t^5.57 + 2*t^5.71 + t^5.86 - t^4.14/y - t^4.14*y | detail | {a: 55/84, c: 275/336, X1: 4/3, M1: 5/7, M2: 17/21, M3: 2/3, M4: 6/7, M5: 8/7, M6: 16/21, q1: 37/42, q2: 17/42, qb1: 19/42, qb2: 31/42, phi1: 8/21} |