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 |
|---|---|---|---|---|---|---|---|---|---|
| 2833 | 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$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ | 0.6986 | 0.8555 | 0.8166 | [X:[1.3672], M:[0.9731, 0.6867, 1.0269, 0.6328, 0.9731, 0.9045], q:[0.4523, 0.5747], qb:[0.5208, 0.7925], phi:[0.4149]] | [X:[[0, 1]], M:[[8, -1], [-16, 1], [-8, 1], [0, -1], [8, -1], [-14, 0]], q:[[-7, 0], [-1, 1]], qb:[[15, -1], [1, 0]], phi:[[-2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_6$, $ M_1$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ X_1$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ \phi_1q_2^2$, $ M_2M_6$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_6\phi_1^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_6^2$, $ M_1M_6$, $ M_5M_6$, $ M_1^2$, $ M_1M_5$, $ M_5^2$ | . | -3 | t^2.06 + t^2.49 + t^2.71 + 2*t^2.92 + t^3.73 + t^3.96 + t^4.1 + t^4.12 + t^4.16 + t^4.33 + t^4.37 + t^4.53 + t^4.55 + t^4.69 + t^4.77 + 3*t^4.98 + t^5.2 + 2*t^5.41 + t^5.43 + t^5.63 + 2*t^5.84 - 3*t^6. + t^6.02 + t^6.18 - t^6.21 + t^6.22 - t^6.37 + t^6.39 + 2*t^6.45 + t^6.59 + t^6.61 + 2*t^6.65 + t^6.67 + t^6.75 + t^6.82 + t^6.83 + t^6.86 + 2*t^6.88 + t^7.02 + 3*t^7.04 + 2*t^7.08 + t^7.18 + t^7.26 + 2*t^7.29 + 3*t^7.47 + t^7.49 - t^7.67 + 3*t^7.69 - t^7.88 + 4*t^7.9 + 2*t^7.92 - t^8.04 - 2*t^8.06 + t^8.08 + 2*t^8.12 + t^8.14 + t^8.24 - t^8.27 + t^8.28 + 3*t^8.33 + t^8.35 + t^8.45 - 3*t^8.49 + t^8.51 + t^8.53 + t^8.55 + t^8.65 + t^8.67 - t^8.7 - 2*t^8.71 + t^8.73 + t^8.74 + 2*t^8.76 + t^8.79 + t^8.81 - t^8.86 + t^8.88 + t^8.89 + t^8.9 - 6*t^8.92 + 3*t^8.94 - t^4.24/y - t^6.3/y - t^6.73/y - t^6.96/y - t^7.16/y + t^7.33/y + t^7.53/y + t^7.55/y + t^7.76/y + t^7.77/y + (2*t^7.98)/y + t^8.18/y + t^8.2/y - t^8.36/y + (2*t^8.41)/y + (2*t^8.63)/y + t^8.84/y - t^4.24*y - t^6.3*y - t^6.73*y - t^6.96*y - t^7.16*y + t^7.33*y + t^7.53*y + t^7.55*y + t^7.76*y + t^7.77*y + 2*t^7.98*y + t^8.18*y + t^8.2*y - t^8.36*y + 2*t^8.41*y + 2*t^8.63*y + t^8.84*y | (g2*t^2.06)/g1^16 + t^2.49/g1^4 + t^2.71/g1^14 + (2*g1^8*t^2.92)/g2 + t^3.73/g1^6 + t^3.96/g1^16 + g2*t^4.1 + (g2^2*t^4.12)/g1^32 + (g1^6*t^4.16)/g2 + (g2*t^4.33)/g1^10 + (g1^28*t^4.37)/g2^2 + g1^12*t^4.53 + (g2*t^4.55)/g1^20 + (g2^2*t^4.69)/g1^4 + (g2*t^4.77)/g1^30 + (3*t^4.98)/g1^8 + t^5.2/g1^18 + (2*g1^4*t^5.41)/g2 + t^5.43/g1^28 + t^5.63/(g1^6*g2) + (2*g1^16*t^5.84)/g2^2 - 3*t^6. + (g2*t^6.02)/g1^32 + (g2^3*t^6.18)/g1^48 - (g1^22*t^6.21)/g2 + t^6.22/g1^10 - g1^6*g2*t^6.37 + (g2^2*t^6.39)/g1^26 + (2*t^6.45)/g1^20 + (g2*t^6.59)/g1^4 + (g2^2*t^6.61)/g1^36 + (2*g1^2*t^6.65)/g2 + t^6.67/g1^30 + (g2^3*t^6.75)/g1^20 + (g2*t^6.82)/g1^14 + (g2^2*t^6.83)/g1^46 + (g1^24*t^6.86)/g2^2 + (2*t^6.88)/(g1^8*g2) + g1^8*t^7.02 + (3*g2*t^7.04)/g1^24 + (2*g1^14*t^7.08)/g2^2 + (g2^2*t^7.18)/g1^8 + (g2*t^7.26)/g1^34 + (2*g1^36*t^7.29)/g2^3 + (3*t^7.47)/g1^12 + (g2*t^7.49)/g1^44 - (g1^10*t^7.67)/g2 + (3*t^7.69)/g1^22 - (g1^32*t^7.88)/g2^2 + (4*t^7.9)/g2 + (2*t^7.92)/g1^32 - g1^16*t^8.04 - (2*g2*t^8.06)/g1^16 + (g2^2*t^8.08)/g1^48 + (2*t^8.12)/(g1^10*g2) + t^8.14/g1^42 + (g2^4*t^8.24)/g1^64 - g1^6*t^8.27 + (g2*t^8.28)/g1^26 + (3*g1^12*t^8.33)/g2^2 + t^8.35/(g1^20*g2) + (g2^3*t^8.45)/g1^42 - (3*t^8.49)/g1^4 + (g2*t^8.51)/g1^36 + (g1^34*t^8.53)/g2^3 + (g1^2*t^8.55)/g2^2 + (g2^2*t^8.65)/g1^20 + (g2^3*t^8.67)/g1^52 - (g1^18*t^8.7)/g2 - (2*t^8.71)/g1^14 + (g2*t^8.73)/g1^46 + (g1^56*t^8.74)/g2^4 + (2*g1^24*t^8.76)/g2^3 + (g2^3*t^8.79)/g1^4 + (g2^4*t^8.81)/g1^36 - g1^2*g2*t^8.86 + (g2^2*t^8.88)/g1^30 + (g2^3*t^8.89)/g1^62 + (g1^40*t^8.9)/g2^2 - (6*g1^8*t^8.92)/g2 + (3*t^8.94)/g1^24 - t^4.24/(g1^2*y) - (g2*t^6.3)/(g1^18*y) - t^6.73/(g1^6*y) - t^6.96/(g1^16*y) - (g1^6*t^7.16)/(g2*y) + (g2*t^7.33)/(g1^10*y) + (g1^12*t^7.53)/y + (g2*t^7.55)/(g1^20*y) + (g1^2*t^7.76)/y + (g2*t^7.77)/(g1^30*y) + (2*t^7.98)/(g1^8*y) + (g1^14*t^8.18)/(g2*y) + t^8.2/(g1^18*y) - (g2^2*t^8.36)/(g1^34*y) + (2*g1^4*t^8.41)/(g2*y) + (2*t^8.63)/(g1^6*g2*y) + (g1^16*t^8.84)/(g2^2*y) - (t^4.24*y)/g1^2 - (g2*t^6.3*y)/g1^18 - (t^6.73*y)/g1^6 - (t^6.96*y)/g1^16 - (g1^6*t^7.16*y)/g2 + (g2*t^7.33*y)/g1^10 + g1^12*t^7.53*y + (g2*t^7.55*y)/g1^20 + g1^2*t^7.76*y + (g2*t^7.77*y)/g1^30 + (2*t^7.98*y)/g1^8 + (g1^14*t^8.18*y)/g2 + (t^8.2*y)/g1^18 - (g2^2*t^8.36*y)/g1^34 + (2*g1^4*t^8.41*y)/g2 + (2*t^8.63*y)/(g1^6*g2) + (g1^16*t^8.84*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3383 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ | 0.6914 | 0.8438 | 0.8194 | [X:[1.2806], M:[1.012, 0.6954, 0.988, 0.7194, 1.012, 0.988], q:[0.494, 0.494], qb:[0.518, 0.7866], phi:[0.4269]] | t^2.09 + t^2.56 + t^2.96 + 2*t^3.04 + 2*t^3.84 + t^4.17 + 3*t^4.24 + 2*t^4.32 + t^4.39 + t^4.65 + t^5.05 + 3*t^5.12 + t^5.53 + 2*t^5.6 + t^5.93 - 3*t^6. - t^4.28/y - t^4.28*y | detail | |
| 3384 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_7\phi_1q_1^2$ | 0.7194 | 0.8963 | 0.8026 | [X:[1.3646], M:[0.9735, 0.6884, 1.0265, 0.6354, 0.9735, 0.9084, 0.6762], q:[0.4542, 0.5723], qb:[0.5193, 0.7923], phi:[0.4155]] | t^2.03 + t^2.07 + t^2.49 + t^2.73 + 2*t^2.92 + t^3.74 + t^4.06 + 2*t^4.09 + t^4.13 + t^4.17 + t^4.33 + t^4.36 + 2*t^4.52 + t^4.56 + t^4.68 + t^4.75 + t^4.79 + 2*t^4.95 + 3*t^4.99 + t^5.22 + 2*t^5.41 + t^5.45 + t^5.65 + t^5.77 + 2*t^5.84 - 3*t^6. - t^4.25/y - t^4.25*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1815 | 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$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.7133 | 0.8853 | 0.8057 | [X:[], M:[0.9782, 0.7152, 1.0218, 0.6716, 0.9782], q:[0.4817, 0.5401], qb:[0.4965, 0.7883], phi:[0.4234]] | t^2.01 + t^2.15 + t^2.54 + 2*t^2.93 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.2 + t^4.25 + t^4.29 + t^4.34 + t^4.38 + t^4.51 + t^4.55 + t^4.69 + 2*t^4.95 + 3*t^5.08 + t^5.12 + t^5.26 + 2*t^5.47 + t^5.65 + 2*t^5.87 - 3*t^6. - t^4.27/y - t^4.27*y | detail |