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 |
|---|---|---|---|---|---|---|---|---|---|
| 2042 | 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$ + $ 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]] | [X:[[12]], M:[[-12], [4], [6], [-24], [36], [-14]], 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_6$, $ M_4$, $ q_2\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$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_4\phi_1^2$, $ M_4M_6$, $ M_4^2$, $ M_5q_2\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$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_2$ | $M_3\phi_1\tilde{q}_1\tilde{q}_2$ | -1 | 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. + 2*t^6.08 + 2*t^6.16 + t^6.32 + t^6.33 + t^6.56 + t^6.65 + 2*t^6.73 + 4*t^6.81 + 2*t^6.97 + 4*t^7.05 + 2*t^7.13 + 2*t^7.22 + 4*t^7.3 + 3*t^7.38 + 2*t^7.46 + 2*t^7.54 + 2*t^7.62 + t^7.71 + t^7.78 + t^7.79 + t^7.86 + 3*t^7.94 + 2*t^8.03 - t^8.11 + t^8.19 + 4*t^8.27 - t^8.35 + 2*t^8.43 - t^8.51 - t^8.6 + t^8.67 + t^8.68 + t^8.75 + 2*t^8.83 + 5*t^8.92 - t^4.22/y - t^6.32/y - t^6.57/y - t^6.73/y - t^6.81/y + t^7.46/y + t^7.54/y + (2*t^7.62)/y + (2*t^7.7)/y + t^7.78/y + (2*t^7.87)/y + (2*t^7.95)/y + t^8.03/y + (2*t^8.11)/y - t^8.43/y + t^8.51/y + (2*t^8.76)/y + t^8.84/y - t^4.22*y - t^6.32*y - t^6.57*y - t^6.73*y - t^6.81*y + t^7.46*y + t^7.54*y + 2*t^7.62*y + 2*t^7.7*y + t^7.78*y + 2*t^7.87*y + 2*t^7.95*y + t^8.03*y + 2*t^8.11*y - t^8.43*y + t^8.51*y + 2*t^8.76*y + t^8.84*y | g1^36*t^2.11 + g1^6*t^2.35 + t^2.43/g1^4 + t^2.51/g1^14 + t^2.6/g1^24 + g1^24*t^3.4 + g1^4*t^3.57 + t^3.65/g1^6 + t^3.73/g1^16 + g1^72*t^4.21 + g1^42*t^4.46 + g1^32*t^4.54 + 2*g1^22*t^4.62 + 3*g1^12*t^4.7 + (3*t^4.87)/g1^8 + (2*t^4.95)/g1^18 + t^5.03/g1^28 + t^5.11/g1^38 + t^5.19/g1^48 + g1^60*t^5.51 + g1^40*t^5.67 + g1^30*t^5.76 + 3*g1^20*t^5.84 + g1^10*t^5.92 - t^6. + (2*t^6.08)/g1^10 + (2*t^6.16)/g1^20 + g1^108*t^6.32 + t^6.33/g1^40 + g1^78*t^6.56 + g1^68*t^6.65 + 2*g1^58*t^6.73 + 4*g1^48*t^6.81 + 2*g1^28*t^6.97 + 4*g1^18*t^7.05 + 2*g1^8*t^7.13 + (2*t^7.22)/g1^2 + (4*t^7.3)/g1^12 + (3*t^7.38)/g1^22 + (2*t^7.46)/g1^32 + (2*t^7.54)/g1^42 + t^7.62/g1^52 + g1^96*t^7.62 + t^7.71/g1^62 + g1^76*t^7.78 + t^7.79/g1^72 + g1^66*t^7.86 + 3*g1^56*t^7.94 + 2*g1^46*t^8.03 - g1^36*t^8.11 + g1^26*t^8.19 + 4*g1^16*t^8.27 - g1^6*t^8.35 + t^8.43/g1^4 + g1^144*t^8.43 - t^8.51/g1^14 - t^8.6/g1^24 + g1^114*t^8.67 + t^8.68/g1^34 + g1^104*t^8.75 + 2*g1^94*t^8.83 + t^8.92/g1^64 + 4*g1^84*t^8.92 - t^4.22/(g1^2*y) - (g1^34*t^6.32)/y - (g1^4*t^6.57)/y - t^6.73/(g1^16*y) - t^6.81/(g1^26*y) + (g1^42*t^7.46)/y + (g1^32*t^7.54)/y + (2*g1^22*t^7.62)/y + (2*g1^12*t^7.7)/y + (g1^2*t^7.78)/y + (2*t^7.87)/(g1^8*y) + (2*t^7.95)/(g1^18*y) + t^8.03/(g1^28*y) + (2*t^8.11)/(g1^38*y) - (g1^70*t^8.43)/y + (g1^60*t^8.51)/y + (2*g1^30*t^8.76)/y + (g1^20*t^8.84)/y - (t^4.22*y)/g1^2 - g1^34*t^6.32*y - g1^4*t^6.57*y - (t^6.73*y)/g1^16 - (t^6.81*y)/g1^26 + g1^42*t^7.46*y + g1^32*t^7.54*y + 2*g1^22*t^7.62*y + 2*g1^12*t^7.7*y + g1^2*t^7.78*y + (2*t^7.87*y)/g1^8 + (2*t^7.95*y)/g1^18 + (t^8.03*y)/g1^28 + (2*t^8.11*y)/g1^38 - g1^70*t^8.43*y + g1^60*t^8.51*y + 2*g1^30*t^8.76*y + g1^20*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 3113 | $M_1q_1q_2$ + $ 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$ + $ M_5^2$ + $ M_4X_2$ | 0.5734 | 0.7088 | 0.8089 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 1.0, 0.7222], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | t^2.17 + t^2.33 + t^2.5 + t^3. + t^3.33 + t^3.5 + t^3.67 + 2*t^4. + t^4.5 + 3*t^4.67 + 2*t^5. + 2*t^5.17 + t^5.33 + t^5.67 + 2*t^5.83 - t^6. - t^4.17/y - t^4.17*y | detail | {a: 1321/2304, c: 1633/2304, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 1, M6: 13/18, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
| 3115 | $M_1q_1q_2$ + $ 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$ + $ M_7q_1\tilde{q}_1$ | 0.6721 | 0.8536 | 0.7873 | [X:[1.5631], M:[0.4369, 1.1877, 0.7816, 0.8737, 0.6894, 0.843, 0.7509], q:[0.7969, 0.7662], qb:[0.4522, 0.3601], phi:[0.4061]] | t^2.07 + t^2.25 + t^2.34 + t^2.44 + t^2.53 + t^2.62 + t^3.38 + t^3.56 + t^3.66 + t^4.14 + t^4.32 + t^4.41 + 2*t^4.51 + 3*t^4.6 + 4*t^4.69 + t^4.78 + 4*t^4.87 + 2*t^4.97 + t^5.06 + t^5.15 + t^5.24 + t^5.45 + 2*t^5.63 + t^5.72 + 3*t^5.82 + 2*t^5.91 - t^6. - t^4.22/y - t^4.22*y | detail | |
| 3114 | $M_1q_1q_2$ + $ 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$ + $ M_7q_2\tilde{q}_2$ | 0.666 | 0.8404 | 0.7925 | [X:[1.5789], M:[0.4211, 1.193, 0.7894, 0.8423, 0.7366, 0.8247, 0.8423], q:[0.7982, 0.7806], qb:[0.4299, 0.3771], phi:[0.4035]] | t^2.21 + t^2.37 + t^2.42 + t^2.47 + 2*t^2.53 + t^3.58 + t^3.63 + t^3.68 + t^4.42 + t^4.58 + t^4.63 + 2*t^4.68 + 4*t^4.74 + 3*t^4.84 + 3*t^4.9 + 2*t^4.95 + 2*t^5. + 3*t^5.05 + t^5.79 + 2*t^5.89 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.22/y - t^4.22*y | detail |