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 |
|---|---|---|---|---|---|---|---|---|---|
| 2410 | 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\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.6706 | 0.85 | 0.789 | [X:[1.5653], M:[0.4347, 1.1884, 0.7827, 0.8693, 0.7827, 0.696, 0.8405], q:[0.7971, 0.7682], qb:[0.4491, 0.3624], phi:[0.4058]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [36], [-14]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ M_5$, $ \phi_1^2$, $ M_7$, $ M_4$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ M_6^2$, $ M_3M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_3M_7$, $ M_5M_7$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ M_4M_5$, $ M_7\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_7^2$, $ M_4\phi_1^2$, $ M_4M_7$, $ M_4^2$, $ M_6q_2\tilde{q}_2$, $ M_2M_6$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_6q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_2$ | . | -2 | t^2.09 + 2*t^2.35 + t^2.43 + t^2.52 + t^2.61 + t^3.39 + t^3.57 + t^3.74 + t^4.18 + 2*t^4.44 + t^4.52 + 2*t^4.61 + 5*t^4.7 + t^4.78 + 4*t^4.87 + 3*t^4.96 + t^5.04 + t^5.13 + t^5.22 + t^5.48 + t^5.65 + t^5.74 + 3*t^5.83 + 2*t^5.91 - 2*t^6. + 2*t^6.09 + t^6.17 + t^6.35 + 2*t^6.52 + t^6.61 + 2*t^6.7 + 6*t^6.78 + t^6.87 + 4*t^6.96 + 8*t^7.04 + 3*t^7.13 + 5*t^7.22 + 6*t^7.3 + 3*t^7.39 + 3*t^7.48 + 3*t^7.56 + t^7.57 + t^7.65 + 2*t^7.74 + t^7.82 + t^7.83 + 3*t^7.91 + 3*t^8. - t^8.09 + 3*t^8.17 + 4*t^8.26 - 5*t^8.35 + 3*t^8.43 - 3*t^8.52 - 2*t^8.61 + t^8.69 + t^8.7 - t^8.78 + 2*t^8.79 + 5*t^8.87 + t^8.95 + t^8.96 - t^4.22/y - t^6.31/y - (2*t^6.57)/y - t^6.74/y - t^6.83/y + (2*t^7.44)/y + t^7.52/y + (2*t^7.61)/y + (3*t^7.7)/y + (2*t^7.78)/y + (4*t^7.87)/y + (3*t^7.96)/y + t^8.04/y + (2*t^8.13)/y - t^8.39/y + t^8.48/y - t^8.65/y + (2*t^8.74)/y + t^8.83/y - t^8.91/y - t^4.22*y - t^6.31*y - 2*t^6.57*y - t^6.74*y - t^6.83*y + 2*t^7.44*y + t^7.52*y + 2*t^7.61*y + 3*t^7.7*y + 2*t^7.78*y + 4*t^7.87*y + 3*t^7.96*y + t^8.04*y + 2*t^8.13*y - t^8.39*y + t^8.48*y - t^8.65*y + 2*t^8.74*y + t^8.83*y - t^8.91*y | g1^36*t^2.09 + 2*g1^6*t^2.35 + t^2.43/g1^4 + t^2.52/g1^14 + t^2.61/g1^24 + g1^24*t^3.39 + g1^4*t^3.57 + t^3.74/g1^16 + g1^72*t^4.18 + 2*g1^42*t^4.44 + g1^32*t^4.52 + 2*g1^22*t^4.61 + 5*g1^12*t^4.7 + g1^2*t^4.78 + (4*t^4.87)/g1^8 + (3*t^4.96)/g1^18 + t^5.04/g1^28 + t^5.13/g1^38 + t^5.22/g1^48 + g1^60*t^5.48 + g1^40*t^5.65 + g1^30*t^5.74 + 3*g1^20*t^5.83 + 2*g1^10*t^5.91 - 2*t^6. + (2*t^6.09)/g1^10 + t^6.17/g1^20 - t^6.26/g1^30 + g1^108*t^6.26 + t^6.35/g1^40 + 2*g1^78*t^6.52 + g1^68*t^6.61 + 2*g1^58*t^6.7 + 6*g1^48*t^6.78 + g1^38*t^6.87 + 4*g1^28*t^6.96 + 8*g1^18*t^7.04 + 3*g1^8*t^7.13 + (5*t^7.22)/g1^2 + (6*t^7.3)/g1^12 + (3*t^7.39)/g1^22 + (3*t^7.48)/g1^32 + (3*t^7.56)/g1^42 + g1^96*t^7.57 + t^7.65/g1^52 + t^7.74/g1^62 + g1^76*t^7.74 + t^7.82/g1^72 + g1^66*t^7.83 + 3*g1^56*t^7.91 + 3*g1^46*t^8. - g1^36*t^8.09 + 3*g1^26*t^8.17 + 4*g1^16*t^8.26 - 6*g1^6*t^8.35 + g1^144*t^8.35 + (3*t^8.43)/g1^4 - (3*t^8.52)/g1^14 - (4*t^8.61)/g1^24 + 2*g1^114*t^8.61 + t^8.69/g1^34 + g1^104*t^8.7 - t^8.78/g1^44 + 2*g1^94*t^8.79 - t^8.87/g1^54 + 6*g1^84*t^8.87 + t^8.95/g1^64 + g1^74*t^8.96 - t^4.22/(g1^2*y) - (g1^34*t^6.31)/y - (2*g1^4*t^6.57)/y - t^6.74/(g1^16*y) - t^6.83/(g1^26*y) + (2*g1^42*t^7.44)/y + (g1^32*t^7.52)/y + (2*g1^22*t^7.61)/y + (3*g1^12*t^7.7)/y + (2*g1^2*t^7.78)/y + (4*t^7.87)/(g1^8*y) + (3*t^7.96)/(g1^18*y) + t^8.04/(g1^28*y) + (2*t^8.13)/(g1^38*y) - (g1^70*t^8.39)/y + (g1^60*t^8.48)/y - (g1^40*t^8.65)/y + (2*g1^30*t^8.74)/y + (g1^20*t^8.83)/y - (g1^10*t^8.91)/y - (t^4.22*y)/g1^2 - g1^34*t^6.31*y - 2*g1^4*t^6.57*y - (t^6.74*y)/g1^16 - (t^6.83*y)/g1^26 + 2*g1^42*t^7.44*y + g1^32*t^7.52*y + 2*g1^22*t^7.61*y + 3*g1^12*t^7.7*y + 2*g1^2*t^7.78*y + (4*t^7.87*y)/g1^8 + (3*t^7.96*y)/g1^18 + (t^8.04*y)/g1^28 + (2*t^8.13*y)/g1^38 - g1^70*t^8.39*y + g1^60*t^8.48*y - g1^40*t^8.65*y + 2*g1^30*t^8.74*y + g1^20*t^8.83*y - g1^10*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 4451 | $M_1q_1q_2$ + $ 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\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_6^2$ + $ M_4X_2$ | 0.5877 | 0.7335 | 0.8012 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.8333, 1.0, 0.7222], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | t^2.17 + t^2.33 + 2*t^2.5 + t^3. + t^3.33 + t^3.67 + 2*t^4. + t^4.5 + 4*t^4.67 + t^4.83 + 4*t^5. + 2*t^5.17 + t^5.33 + t^5.5 + 2*t^5.83 - 2*t^6. - t^4.17/y - t^4.17*y | detail | {a: 677/1152, c: 845/1152, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 5/6, M6: 1, M7: 13/18, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
| 4447 | $M_1q_1q_2$ + $ 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\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ | 0.6896 | 0.8852 | 0.7791 | [X:[1.5612], M:[0.4388, 1.1871, 0.7806, 0.8776, 0.7806, 0.6836, 0.8452, 0.7483], q:[0.7968, 0.7644], qb:[0.4549, 0.358], phi:[0.4065]] | t^2.05 + t^2.24 + 2*t^2.34 + t^2.44 + t^2.54 + t^2.63 + t^3.37 + t^3.56 + t^4.1 + t^4.3 + 2*t^4.39 + 2*t^4.49 + 4*t^4.59 + 6*t^4.68 + 2*t^4.78 + 5*t^4.88 + 3*t^4.97 + t^5.07 + t^5.17 + t^5.27 + t^5.42 + 2*t^5.61 + t^5.71 + 3*t^5.81 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1356 | 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\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6571 | 0.8278 | 0.7938 | [X:[1.5587], M:[0.4413, 1.1862, 0.7794, 0.8826, 0.7794, 0.6761], q:[0.7966, 0.7622], qb:[0.4585, 0.3553], phi:[0.4069]] | t^2.03 + 2*t^2.34 + t^2.44 + t^2.65 + t^3.35 + t^3.46 + t^3.56 + t^3.77 + t^4.06 + 2*t^4.37 + t^4.47 + t^4.57 + 5*t^4.68 + t^4.78 + 2*t^4.88 + 2*t^4.99 + t^5.3 + t^5.38 + t^5.48 + t^5.59 + t^5.69 + 5*t^5.79 + 2*t^5.9 - 2*t^6. - t^4.22/y - t^4.22*y | detail |