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 |
|---|---|---|---|---|---|---|---|---|---|
| 864 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6395 | 0.796 | 0.8033 | [X:[1.5608], M:[0.4392, 1.1869, 0.7804, 0.8784, 0.6823], q:[0.7967, 0.7641], qb:[0.4556, 0.3575], phi:[0.4065]] | [X:[[12]], M:[[-12], [4], [6], [-24], [36]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ \phi_1^2$, $ M_4$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_5^2$, $ M_3M_5$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_5q_2\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_2M_5$, $ M_3q_2\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_5q_1\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ \phi_1^2q_1\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | t^2.05 + t^2.34 + t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.56 + t^3.66 + t^3.76 + t^4.09 + t^4.39 + t^4.49 + t^4.58 + 3*t^4.68 + 2*t^4.88 + t^4.98 + t^5.27 + t^5.41 + t^5.51 + t^5.61 + t^5.71 + 4*t^5.8 + t^5.9 - t^6. + 2*t^6.1 + t^6.14 + t^6.2 - t^6.29 + t^6.39 + t^6.44 + t^6.53 + t^6.63 + 4*t^6.73 + t^6.83 + 2*t^6.93 + 4*t^7.02 + t^7.12 + 4*t^7.32 + t^7.46 + t^7.56 + t^7.61 + t^7.65 + t^7.75 + 4*t^7.85 + t^7.91 + 2*t^7.95 + 3*t^8.15 + t^8.19 + 3*t^8.24 - 2*t^8.34 + t^8.44 + t^8.48 + t^8.58 - 3*t^8.64 + t^8.68 + 4*t^8.78 + t^8.87 - t^8.93 + 2*t^8.97 - t^4.22/y - t^6.27/y - t^6.56/y - t^6.85/y + t^7.39/y + t^7.49/y + t^7.58/y + t^7.68/y + t^7.78/y + t^7.88/y + t^7.98/y + t^8.07/y + t^8.17/y - t^8.31/y + t^8.41/y + t^8.51/y + (2*t^8.71)/y + (3*t^8.8)/y - t^4.22*y - t^6.27*y - t^6.56*y - t^6.85*y + t^7.39*y + t^7.49*y + t^7.58*y + t^7.68*y + t^7.78*y + t^7.88*y + t^7.98*y + t^8.07*y + t^8.17*y - t^8.31*y + t^8.41*y + t^8.51*y + 2*t^8.71*y + 3*t^8.8*y | g1^36*t^2.05 + g1^6*t^2.34 + t^2.44/g1^4 + t^2.64/g1^24 + g1^24*t^3.36 + g1^14*t^3.46 + g1^4*t^3.56 + t^3.66/g1^6 + t^3.76/g1^16 + g1^72*t^4.09 + g1^42*t^4.39 + g1^32*t^4.49 + g1^22*t^4.58 + 3*g1^12*t^4.68 + (2*t^4.88)/g1^8 + t^4.98/g1^18 + t^5.27/g1^48 + g1^60*t^5.41 + g1^50*t^5.51 + g1^40*t^5.61 + g1^30*t^5.71 + 4*g1^20*t^5.8 + g1^10*t^5.9 - t^6. + (2*t^6.1)/g1^10 + g1^108*t^6.14 + t^6.2/g1^20 - t^6.29/g1^30 + t^6.39/g1^40 + g1^78*t^6.44 + g1^68*t^6.53 + g1^58*t^6.63 + 4*g1^48*t^6.73 + g1^38*t^6.83 + 2*g1^28*t^6.93 + 4*g1^18*t^7.02 + g1^8*t^7.12 + (4*t^7.32)/g1^12 + g1^96*t^7.46 + g1^86*t^7.56 + t^7.61/g1^42 + g1^76*t^7.65 + g1^66*t^7.75 + 4*g1^56*t^7.85 + t^7.91/g1^72 + 2*g1^46*t^7.95 + 3*g1^26*t^8.15 + g1^144*t^8.19 + 3*g1^16*t^8.24 - 2*g1^6*t^8.34 + t^8.44/g1^4 + g1^114*t^8.48 + g1^104*t^8.58 - (3*t^8.64)/g1^24 + g1^94*t^8.68 + 4*g1^84*t^8.78 + g1^74*t^8.87 - t^8.93/g1^54 + 2*g1^64*t^8.97 - t^4.22/(g1^2*y) - (g1^34*t^6.27)/y - (g1^4*t^6.56)/y - t^6.85/(g1^26*y) + (g1^42*t^7.39)/y + (g1^32*t^7.49)/y + (g1^22*t^7.58)/y + (g1^12*t^7.68)/y + (g1^2*t^7.78)/y + t^7.88/(g1^8*y) + t^7.98/(g1^18*y) + t^8.07/(g1^28*y) + t^8.17/(g1^38*y) - (g1^70*t^8.31)/y + (g1^60*t^8.41)/y + (g1^50*t^8.51)/y + (2*g1^30*t^8.71)/y + (3*g1^20*t^8.8)/y - (t^4.22*y)/g1^2 - g1^34*t^6.27*y - g1^4*t^6.56*y - (t^6.85*y)/g1^26 + g1^42*t^7.39*y + g1^32*t^7.49*y + g1^22*t^7.58*y + g1^12*t^7.68*y + g1^2*t^7.78*y + (t^7.88*y)/g1^8 + (t^7.98*y)/g1^18 + (t^8.07*y)/g1^28 + (t^8.17*y)/g1^38 - g1^70*t^8.31*y + g1^60*t^8.41*y + g1^50*t^8.51*y + 2*g1^30*t^8.71*y + 3*g1^20*t^8.8*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 |
|---|---|---|---|---|---|---|---|---|
| 1358 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_3M_5$ + $ M_4X_2$ | 0.4897 | 0.5939 | 0.8246 | [X:[1.7143, 1.4286], M:[0.2857, 1.2381, 0.8571, 0.5714, 1.1429], q:[0.8095, 0.9048], qb:[0.2381, 0.5238], phi:[0.381]] | t^2.29 + t^2.57 + t^3.14 + 2*t^3.43 + t^3.71 + 2*t^4.29 + 2*t^4.57 + t^5.43 + 2*t^5.71 - t^6. - t^4.14/y - t^4.14*y | detail | {a: 8063/16464, c: 4889/8232, X1: 12/7, X2: 10/7, M1: 2/7, M2: 26/21, M3: 6/7, M4: 4/7, M5: 8/7, q1: 17/21, q2: 19/21, qb1: 5/21, qb2: 11/21, phi1: 8/21} |
| 2043 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_1$ | 0.6587 | 0.832 | 0.7917 | [X:[1.5568], M:[0.4432, 1.1856, 0.7784, 0.8863, 0.6705, 0.7424], q:[0.7964, 0.7604], qb:[0.4612, 0.3532], phi:[0.4072]] | t^2.01 + t^2.23 + t^2.34 + t^2.44 + t^2.66 + t^3.34 + t^3.45 + t^3.56 + t^3.66 + t^4.02 + t^4.24 + t^4.35 + 2*t^4.45 + 2*t^4.56 + 4*t^4.67 + 3*t^4.89 + t^4.99 + t^5.32 + t^5.35 + t^5.46 + 2*t^5.57 + 2*t^5.68 + 4*t^5.78 + 2*t^5.89 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 2042 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6532 | 0.8187 | 0.7978 | [X:[1.5674], M:[0.4326, 1.1891, 0.7837, 0.8652, 0.7022, 0.838], q:[0.7973, 0.7701], qb:[0.4462, 0.3647], phi:[0.4054]] | t^2.11 + t^2.35 + t^2.43 + t^2.51 + t^2.6 + t^3.4 + t^3.57 + t^3.65 + t^3.73 + t^4.21 + t^4.46 + t^4.54 + 2*t^4.62 + 3*t^4.7 + 3*t^4.87 + 2*t^4.95 + t^5.03 + t^5.11 + t^5.19 + t^5.51 + t^5.67 + t^5.76 + 3*t^5.84 + t^5.92 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 1357 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_2$ | 0.6513 | 0.815 | 0.7992 | [X:[1.5729], M:[0.4271, 1.191, 0.7864, 0.8542, 0.7187, 0.8542], q:[0.7977, 0.7752], qb:[0.4384, 0.3706], phi:[0.4045]] | t^2.16 + t^2.36 + t^2.43 + 2*t^2.56 + t^3.51 + t^3.57 + t^3.64 + t^3.71 + t^4.31 + t^4.52 + t^4.58 + t^4.65 + 4*t^4.72 + 2*t^4.85 + 2*t^4.92 + t^4.99 + 3*t^5.13 + t^5.66 + t^5.73 + 3*t^5.86 + t^5.93 - 2*t^6. - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 549 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1X_1$ | 0.6187 | 0.7555 | 0.819 | [X:[1.5641], M:[0.4359, 1.188, 0.782, 0.8719], q:[0.797, 0.7671], qb:[0.4509, 0.3611], phi:[0.406]] | t^2.35 + t^2.44 + t^2.62 + t^3.38 + t^3.47 + t^3.56 + t^3.65 + t^3.74 + t^3.92 + t^4.6 + 2*t^4.69 + 2*t^4.87 + t^4.96 + t^5.23 + 3*t^5.82 + t^5.91 - t^6. - t^4.22/y - t^4.22*y | detail |