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 |
|---|---|---|---|---|---|---|---|---|---|
| 2841 | 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$ | 0.6571 | 0.8263 | 0.7953 | [X:[], M:[0.7201, 0.8089, 0.6757, 0.8533, 1.1467], q:[0.8754, 0.4044], qb:[0.4488, 0.7423], phi:[0.3822]] | [X:[], M:[[18], [-2], [28], [-12], [12]], q:[[-17], [-1]], qb:[[-11], [13]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_1M_3$, $ M_1^2$, $ M_3\phi_1^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ 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_3M_5$, $ M_1M_5$, $ M_3\phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_5\phi_1^2$, $ M_3\phi_1q_2\tilde{q}_1$, $ M_2M_5$, $ \phi_1^3q_2^2$, $ M_3\phi_1\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$ | 1 | t^2.03 + t^2.16 + t^2.29 + t^2.43 + t^2.56 + t^3.44 + t^3.57 + t^3.71 + t^3.84 + t^4.05 + t^4.19 + 2*t^4.32 + 2*t^4.45 + 3*t^4.59 + 2*t^4.72 + 3*t^4.85 + t^4.99 + t^5.12 + t^5.47 + 2*t^5.6 + 2*t^5.73 + 2*t^5.87 + t^6. + t^6.08 + t^6.13 + t^6.21 + t^6.27 + 2*t^6.35 + t^6.4 + 3*t^6.48 + 4*t^6.61 + 4*t^6.75 + 6*t^6.88 + 4*t^7.01 + 4*t^7.15 + 2*t^7.28 + t^7.41 + t^7.49 + 2*t^7.63 + t^7.68 + 3*t^7.76 + 3*t^7.89 + 2*t^8.03 + t^8.11 + t^8.16 + t^8.24 + t^8.29 + 2*t^8.38 - t^8.43 + 3*t^8.51 - t^8.56 + 5*t^8.64 + 5*t^8.77 + 8*t^8.91 + t^8.96 - t^4.15/y - t^6.17/y - t^6.31/y - t^6.44/y - t^6.57/y + t^7.19/y + t^7.32/y + (2*t^7.45)/y + (2*t^7.59)/y + (3*t^7.72)/y + (2*t^7.85)/y + (2*t^7.99)/y + t^8.12/y - t^8.2/y - t^8.33/y - t^8.47/y + t^8.73/y + (3*t^8.87)/y - t^4.15*y - t^6.17*y - t^6.31*y - t^6.44*y - t^6.57*y + t^7.19*y + t^7.32*y + 2*t^7.45*y + 2*t^7.59*y + 3*t^7.72*y + 2*t^7.85*y + 2*t^7.99*y + t^8.12*y - t^8.2*y - t^8.33*y - t^8.47*y + t^8.73*y + 3*t^8.87*y | g1^28*t^2.03 + g1^18*t^2.16 + g1^8*t^2.29 + t^2.43/g1^2 + t^2.56/g1^12 + g1^12*t^3.44 + g1^2*t^3.57 + t^3.71/g1^8 + t^3.84/g1^18 + g1^56*t^4.05 + g1^46*t^4.19 + 2*g1^36*t^4.32 + 2*g1^26*t^4.45 + 3*g1^16*t^4.59 + 2*g1^6*t^4.72 + (3*t^4.85)/g1^4 + t^4.99/g1^14 + t^5.12/g1^24 + g1^40*t^5.47 + 2*g1^30*t^5.6 + 2*g1^20*t^5.73 + 2*g1^10*t^5.87 + t^6. + g1^84*t^6.08 + t^6.13/g1^10 + g1^74*t^6.21 + t^6.27/g1^20 + 2*g1^64*t^6.35 + t^6.4/g1^30 + 3*g1^54*t^6.48 + 4*g1^44*t^6.61 + 4*g1^34*t^6.75 + 6*g1^24*t^6.88 + 4*g1^14*t^7.01 + 4*g1^4*t^7.15 + (2*t^7.28)/g1^6 + t^7.41/g1^16 + g1^68*t^7.49 + 2*g1^58*t^7.63 + t^7.68/g1^36 + 3*g1^48*t^7.76 + 3*g1^38*t^7.89 + 2*g1^28*t^8.03 + g1^112*t^8.11 + g1^18*t^8.16 + g1^102*t^8.24 + g1^8*t^8.29 + 2*g1^92*t^8.38 - t^8.43/g1^2 + 3*g1^82*t^8.51 - t^8.56/g1^12 + 5*g1^72*t^8.64 + 5*g1^62*t^8.77 + 8*g1^52*t^8.91 + t^8.96/g1^42 - (g1^4*t^4.15)/y - (g1^32*t^6.17)/y - (g1^22*t^6.31)/y - (g1^12*t^6.44)/y - (g1^2*t^6.57)/y + (g1^46*t^7.19)/y + (g1^36*t^7.32)/y + (2*g1^26*t^7.45)/y + (2*g1^16*t^7.59)/y + (3*g1^6*t^7.72)/y + (2*t^7.85)/(g1^4*y) + (2*t^7.99)/(g1^14*y) + t^8.12/(g1^24*y) - (g1^60*t^8.2)/y - (g1^50*t^8.33)/y - (g1^40*t^8.47)/y + (g1^20*t^8.73)/y + (3*g1^10*t^8.87)/y - g1^4*t^4.15*y - g1^32*t^6.17*y - g1^22*t^6.31*y - g1^12*t^6.44*y - g1^2*t^6.57*y + g1^46*t^7.19*y + g1^36*t^7.32*y + 2*g1^26*t^7.45*y + 2*g1^16*t^7.59*y + 3*g1^6*t^7.72*y + (2*t^7.85*y)/g1^4 + (2*t^7.99*y)/g1^14 + (t^8.12*y)/g1^24 - g1^60*t^8.2*y - g1^50*t^8.33*y - g1^40*t^8.47*y + g1^20*t^8.73*y + 3*g1^10*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 3392 | $M_1q_1q_2$ + $ 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_5M_6$ | 0.6704 | 0.8481 | 0.7904 | [X:[], M:[0.7343, 0.8073, 0.6978, 0.8438, 1.1562, 0.8438], q:[0.8621, 0.4037], qb:[0.4402, 0.7525], phi:[0.3854]] | t^2.09 + t^2.2 + t^2.31 + t^2.42 + 2*t^2.53 + t^3.58 + t^3.69 + t^3.8 + t^4.19 + t^4.3 + 2*t^4.41 + 2*t^4.52 + 4*t^4.62 + 3*t^4.73 + 4*t^4.84 + 2*t^4.95 + 3*t^5.06 + t^5.67 + t^5.78 + t^5.89 - t^4.16/y - t^4.16*y | detail | |
| 3393 | $M_1q_1q_2$ + $ 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} |
| 3394 | $M_1q_1q_2$ + $ 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_1\tilde{q}_1^2$ + $ M_3X_1$ | 0.6565 | 0.8232 | 0.7974 | [X:[1.336], M:[0.7126, 0.8097, 0.664, 0.8583, 1.1417, 0.7126], q:[0.8825, 0.4049], qb:[0.4534, 0.7369], phi:[0.3806]] | 2*t^2.14 + t^2.28 + t^2.43 + t^2.57 + t^3.43 + t^3.57 + t^3.72 + t^4.01 + 3*t^4.28 + 2*t^4.42 + 3*t^4.57 + 3*t^4.71 + 3*t^4.86 + t^5. + t^5.15 + 2*t^5.56 + 2*t^5.71 + 2*t^5.85 - t^4.14/y - t^4.14*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1824 | 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$ | 0.6574 | 0.8268 | 0.7952 | [X:[], M:[0.7351, 0.7916, 0.6718, 0.8549, 1.1451], q:[0.8691, 0.3958], qb:[0.4591, 0.7492], phi:[0.3817]] | t^2.02 + t^2.21 + t^2.29 + t^2.37 + t^2.56 + t^3.44 + t^3.52 + t^3.71 + t^3.9 + t^4.03 + t^4.22 + t^4.31 + t^4.39 + t^4.41 + t^4.5 + 3*t^4.58 + t^4.67 + t^4.75 + t^4.77 + 2*t^4.85 + t^4.94 + t^5.13 + t^5.45 + t^5.54 + t^5.64 + 2*t^5.73 + t^5.81 + t^5.89 + t^5.92 - t^6. - t^4.15/y - t^4.15*y | detail |