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 |
|---|---|---|---|---|---|---|---|---|---|
| 46518 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ | 0.668 | 0.8316 | 0.8032 | [X:[], M:[0.8427, 1.1573, 1.0, 0.6854], q:[0.3876, 0.7697], qb:[0.4551, 0.5449], phi:[0.4607]] | [X:[], M:[[-8], [8], [0], [-16]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_3$, $ M_2$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_2^2$, $ M_4\phi_1^2$, $ \phi_1q_1q_2$, $ M_4q_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ \phi_1q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_3$, $ M_2M_4$, $ \phi_1^4$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_3\phi_1^2$, $ M_4\phi_1q_1^2$, $ M_4\phi_1q_1\tilde{q}_1$ | . | -1 | t^2.06 + t^2.53 + t^2.76 + t^2.8 + t^3. + t^3.47 + t^3.67 + t^3.71 + t^3.91 + 2*t^4.11 + t^4.18 + t^4.38 + t^4.58 + t^4.65 + t^4.82 + t^4.85 + 2*t^5.06 + t^5.29 + t^5.33 + 2*t^5.53 + t^5.56 + t^5.6 + 2*t^5.76 + t^5.97 - t^6. + 2*t^6.17 + 2*t^6.24 + 2*t^6.44 + t^6.47 + t^6.51 + 2*t^6.64 + t^6.67 + 2*t^6.71 + 2*t^6.88 + 2*t^6.91 + t^6.98 + 2*t^7.11 + 2*t^7.18 + t^7.35 + t^7.38 + t^7.42 + t^7.45 + 3*t^7.58 + t^7.62 + t^7.65 + t^7.79 + 4*t^7.82 + 2*t^8.02 + t^8.09 + t^8.12 + 3*t^8.23 - t^8.26 + 3*t^8.29 + 2*t^8.36 + t^8.39 + 2*t^8.49 - t^8.53 + t^8.56 + 2*t^8.7 + t^8.73 + 2*t^8.76 - 3*t^8.8 + t^8.83 + 2*t^8.93 + 2*t^8.97 - t^4.38/y - t^6.44/y - t^7.15/y + t^7.58/y + t^7.62/y + t^7.82/y + t^7.85/y + t^8.06/y + t^8.29/y + (2*t^8.33)/y - t^8.49/y + (2*t^8.53)/y + t^8.56/y + t^8.73/y + (2*t^8.76)/y + t^8.8/y + t^8.97/y - t^4.38*y - t^6.44*y - t^7.15*y + t^7.58*y + t^7.62*y + t^7.82*y + t^7.85*y + t^8.06*y + t^8.29*y + 2*t^8.33*y - t^8.49*y + 2*t^8.53*y + t^8.56*y + t^8.73*y + 2*t^8.76*y + t^8.8*y + t^8.97*y | t^2.06/g1^16 + t^2.53/g1^8 + t^2.76/g1^4 + g1^22*t^2.8 + t^3. + g1^8*t^3.47 + t^3.67/g1^14 + g1^12*t^3.71 + t^3.91/g1^10 + (2*t^4.11)/g1^32 + g1^20*t^4.18 + t^4.38/g1^2 + t^4.58/g1^24 + g1^28*t^4.65 + t^4.82/g1^20 + g1^6*t^4.85 + (2*t^5.06)/g1^16 + t^5.29/g1^12 + g1^14*t^5.33 + (2*t^5.53)/g1^8 + g1^18*t^5.56 + g1^44*t^5.6 + (2*t^5.76)/g1^4 + t^5.97/g1^26 - t^6. + (2*t^6.17)/g1^48 + 2*g1^4*t^6.24 + (2*t^6.44)/g1^18 + g1^8*t^6.47 + g1^34*t^6.51 + (2*t^6.64)/g1^40 + t^6.67/g1^14 + 2*g1^12*t^6.71 + (2*t^6.88)/g1^36 + (2*t^6.91)/g1^10 + g1^42*t^6.98 + (2*t^7.11)/g1^32 + 2*g1^20*t^7.18 + t^7.35/g1^28 + t^7.38/g1^2 + g1^24*t^7.42 + g1^50*t^7.45 + (3*t^7.58)/g1^24 + g1^2*t^7.62 + g1^28*t^7.65 + t^7.79/g1^46 + (4*t^7.82)/g1^20 + (2*t^8.02)/g1^42 + g1^10*t^8.09 + g1^36*t^8.12 + (3*t^8.23)/g1^64 - t^8.26/g1^38 + (3*t^8.29)/g1^12 + 2*g1^40*t^8.36 + g1^66*t^8.39 + (2*t^8.49)/g1^34 - t^8.53/g1^8 + g1^18*t^8.56 + (2*t^8.7)/g1^56 + t^8.73/g1^30 + (2*t^8.76)/g1^4 - 3*g1^22*t^8.8 + g1^48*t^8.83 + (2*t^8.93)/g1^52 + (2*t^8.97)/g1^26 - t^4.38/(g1^2*y) - t^6.44/(g1^18*y) - t^7.15/(g1^6*y) + t^7.58/(g1^24*y) + (g1^2*t^7.62)/y + t^7.82/(g1^20*y) + (g1^6*t^7.85)/y + t^8.06/(g1^16*y) + t^8.29/(g1^12*y) + (2*g1^14*t^8.33)/y - t^8.49/(g1^34*y) + (2*t^8.53)/(g1^8*y) + (g1^18*t^8.56)/y + t^8.73/(g1^30*y) + (2*t^8.76)/(g1^4*y) + (g1^22*t^8.8)/y + t^8.97/(g1^26*y) - (t^4.38*y)/g1^2 - (t^6.44*y)/g1^18 - (t^7.15*y)/g1^6 + (t^7.58*y)/g1^24 + g1^2*t^7.62*y + (t^7.82*y)/g1^20 + g1^6*t^7.85*y + (t^8.06*y)/g1^16 + (t^8.29*y)/g1^12 + 2*g1^14*t^8.33*y - (t^8.49*y)/g1^34 + (2*t^8.53*y)/g1^8 + g1^18*t^8.56*y + (t^8.73*y)/g1^30 + (2*t^8.76*y)/g1^4 + g1^22*t^8.8*y + (t^8.97*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48244 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_2M_5$ | 0.6818 | 0.8558 | 0.7967 | [X:[], M:[0.8382, 1.1618, 1.0, 0.6764, 0.8382], q:[0.3916, 0.7702], qb:[0.4466, 0.5534], phi:[0.4595]] | t^2.03 + 2*t^2.51 + t^2.76 + t^2.84 + t^3. + t^3.65 + t^3.73 + t^3.89 + 2*t^4.06 + t^4.21 + t^4.38 + 2*t^4.54 + t^4.7 + t^4.79 + t^4.86 + 4*t^5.03 + 2*t^5.27 + 2*t^5.35 + 2*t^5.51 + t^5.59 + t^5.67 + 2*t^5.76 + t^5.92 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 48198 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_4\phi_1q_1\tilde{q}_1$ | 0.6679 | 0.8314 | 0.8034 | [X:[], M:[0.8462, 1.1538, 1.0, 0.6923], q:[0.3846, 0.7692], qb:[0.4615, 0.5385], phi:[0.4615]] | t^2.08 + t^2.54 + 2*t^2.77 + t^3. + t^3.46 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 2*t^4.62 + 2*t^4.85 + 2*t^5.08 + 2*t^5.31 + 4*t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 903/1352, c: 281/338, M1: 11/13, M2: 15/13, M3: 1, M4: 9/13, q1: 5/13, q2: 10/13, qb1: 6/13, qb2: 7/13, phi1: 6/13} |
| 47180 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1\tilde{q}_1$ | 0.6886 | 0.8712 | 0.7904 | [X:[], M:[0.8439, 1.1561, 1.0, 0.6879, 0.6951], q:[0.3866, 0.7695], qb:[0.4574, 0.5426], phi:[0.461]] | t^2.06 + t^2.09 + t^2.53 + t^2.77 + t^2.79 + t^3. + t^3.47 + t^3.68 + t^3.7 + 2*t^4.13 + t^4.15 + 2*t^4.17 + t^4.38 + t^4.6 + t^4.62 + t^4.64 + t^4.83 + 2*t^4.85 + t^4.87 + 2*t^5.06 + t^5.09 + t^5.3 + t^5.32 + 2*t^5.53 + 2*t^5.55 + t^5.58 + 3*t^5.77 + t^5.79 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 46841 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ \phi_1q_2^2$ + $ M_5\phi_1q_1^2$ | 0.6866 | 0.8655 | 0.7932 | [X:[], M:[0.8385, 1.1615, 1.0, 0.677, 0.7578], q:[0.3913, 0.7702], qb:[0.4472, 0.5528], phi:[0.4596]] | t^2.03 + t^2.27 + t^2.52 + t^2.76 + t^2.83 + t^3. + t^3.48 + t^3.65 + t^3.89 + 2*t^4.06 + t^4.21 + t^4.3 + t^4.38 + 2*t^4.55 + t^4.7 + 2*t^4.79 + t^4.86 + 3*t^5.03 + t^5.11 + 2*t^5.27 + t^5.35 + 2*t^5.52 + t^5.59 + t^5.66 + 2*t^5.76 + 2*t^5.93 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46091 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[0.9335, 1.0665, 1.0, 0.867], q:[0.4817, 0.5848], qb:[0.4519, 0.5481], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + t^3.09 + t^3.11 + t^3.2 + t^4.16 + t^4.25 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.74 + t^4.85 + t^4.96 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^5.99 - 2*t^6. - t^4.45/y - t^4.45*y | detail |