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 |
|---|---|---|---|---|---|---|---|---|---|
| 3877 | 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_7\phi_1\tilde{q}_1^2$ | 0.6751 | 0.8573 | 0.7874 | [X:[1.3475], M:[0.7052, 0.8105, 0.6525, 0.8632, 1.1368, 0.7578, 0.7052], q:[0.8896, 0.4053], qb:[0.458, 0.7315], phi:[0.3789]] | [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 |
|---|---|---|---|---|
| $M_1$, $ M_7$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_5$, $ \phi_1q_2^2$, $ X_1$, $ M_1^2$, $ M_1M_7$, $ M_7^2$, $ M_1M_6$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_2$, $ M_6^2$, $ M_2M_7$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_2M_6$, $ M_4M_7$, $ 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_1M_5$, $ M_5M_7$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_5\phi_1^2$, $ M_7\phi_1q_2^2$, $ M_2M_5$, $ M_6\phi_1q_2^2$, $ \phi_1^3q_2^2$ | . | -1 | 2*t^2.12 + 2*t^2.27 + t^2.43 + t^2.59 + t^3.41 + t^3.57 + t^4.04 + 3*t^4.23 + 4*t^4.39 + 5*t^4.55 + 4*t^4.71 + 4*t^4.86 + t^5.02 + t^5.18 + 2*t^5.53 + 3*t^5.68 + t^5.84 - t^6. + t^6.16 + t^6.32 + 4*t^6.35 + t^6.47 + 6*t^6.5 + t^6.63 + 9*t^6.66 + 11*t^6.82 + 10*t^6.98 + 7*t^7.14 + 2*t^7.29 + t^7.45 + 3*t^7.64 + 5*t^7.8 + 3*t^7.96 + t^8.09 - 2*t^8.12 - 2*t^8.27 - 4*t^8.43 + 5*t^8.46 - 2*t^8.59 + 8*t^8.62 + 13*t^8.78 + 2*t^8.91 + 18*t^8.94 - t^4.14/y - (2*t^6.25)/y - (2*t^6.41)/y - t^6.57/y + t^7.23/y + (4*t^7.39)/y + (3*t^7.55)/y + (5*t^7.71)/y + (4*t^7.86)/y + (3*t^8.02)/y - (3*t^8.37)/y - (2*t^8.53)/y - t^8.68/y + t^8.84/y - t^4.14*y - 2*t^6.25*y - 2*t^6.41*y - t^6.57*y + t^7.23*y + 4*t^7.39*y + 3*t^7.55*y + 5*t^7.71*y + 4*t^7.86*y + 3*t^8.02*y - 3*t^8.37*y - 2*t^8.53*y - t^8.68*y + t^8.84*y | (2*t^2.12)/g1^18 + (2*t^2.27)/g1^8 + g1^2*t^2.43 + g1^12*t^2.59 + t^3.41/g1^12 + t^3.57/g1^2 + g1^28*t^4.04 + (3*t^4.23)/g1^36 + (4*t^4.39)/g1^26 + (5*t^4.55)/g1^16 + (4*t^4.71)/g1^6 + 4*g1^4*t^4.86 + g1^14*t^5.02 + g1^24*t^5.18 + (2*t^5.53)/g1^30 + (3*t^5.68)/g1^20 + t^5.84/g1^10 - t^6. + g1^10*t^6.16 + g1^20*t^6.32 + (4*t^6.35)/g1^54 + g1^30*t^6.47 + (6*t^6.5)/g1^44 + g1^40*t^6.63 + (9*t^6.66)/g1^34 + (11*t^6.82)/g1^24 + (10*t^6.98)/g1^14 + (7*t^7.14)/g1^4 + 2*g1^6*t^7.29 + g1^16*t^7.45 + (3*t^7.64)/g1^48 + (5*t^7.8)/g1^38 + (3*t^7.96)/g1^28 + g1^56*t^8.09 - (2*t^8.12)/g1^18 - (2*t^8.27)/g1^8 - 4*g1^2*t^8.43 + (5*t^8.46)/g1^72 - 2*g1^12*t^8.59 + (8*t^8.62)/g1^62 + (13*t^8.78)/g1^52 + 2*g1^32*t^8.91 + (18*t^8.94)/g1^42 - t^4.14/(g1^4*y) - (2*t^6.25)/(g1^22*y) - (2*t^6.41)/(g1^12*y) - t^6.57/(g1^2*y) + t^7.23/(g1^36*y) + (4*t^7.39)/(g1^26*y) + (3*t^7.55)/(g1^16*y) + (5*t^7.71)/(g1^6*y) + (4*g1^4*t^7.86)/y + (3*g1^14*t^8.02)/y - (3*t^8.37)/(g1^40*y) - (2*t^8.53)/(g1^30*y) - t^8.68/(g1^20*y) + t^8.84/(g1^10*y) - (t^4.14*y)/g1^4 - (2*t^6.25*y)/g1^22 - (2*t^6.41*y)/g1^12 - (t^6.57*y)/g1^2 + (t^7.23*y)/g1^36 + (4*t^7.39*y)/g1^26 + (3*t^7.55*y)/g1^16 + (5*t^7.71*y)/g1^6 + 4*g1^4*t^7.86*y + 3*g1^14*t^8.02*y - (3*t^8.37*y)/g1^40 - (2*t^8.53*y)/g1^30 - (t^8.68*y)/g1^20 + (t^8.84*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} |