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 |
|---|---|---|---|---|---|---|---|---|---|
| 3358 | 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ | 0.5847 | 0.7158 | 0.8169 | [X:[1.3459], M:[0.6541, 1.1153, 0.8078, 1.0384, 0.9616, 1.1922], q:[0.7788, 0.5671], qb:[0.6251, 0.2596], phi:[0.4423]] | [X:[[36]], M:[[-36], [12], [-20], [4], [-4], [20]], q:[[3], [33]], qb:[[-13], [1]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_2$, $ \phi_1^2$, $ M_5$, $ M_4$, $ M_2$, $ M_6$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_2$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_4\phi_1^2$ | . | -1 | t^2.48 + t^2.65 + t^2.88 + t^3.12 + t^3.35 + t^3.58 + t^3.81 + t^3.98 + t^4.04 + t^4.21 + t^4.73 + t^4.96 + t^5.13 + t^5.31 + t^5.36 + t^5.54 + t^5.6 + t^5.77 - t^6. + t^6.06 - t^6.17 + t^6.23 + t^6.29 - t^6.4 + 2*t^6.46 + t^6.52 + 3*t^6.69 + t^6.87 + t^6.92 + t^7.15 + t^7.21 - t^7.33 + 2*t^7.38 + t^7.44 - t^7.5 + 3*t^7.61 + t^7.79 + 2*t^7.84 + t^7.96 + t^8.02 + 2*t^8.08 + t^8.19 + t^8.25 + t^8.31 + t^8.42 - 2*t^8.48 + 2*t^8.54 + t^8.6 - 2*t^8.65 + 2*t^8.77 - t^8.83 - 3*t^8.88 + 2*t^8.94 - t^4.33/y + t^8.13/y + t^8.36/y + t^8.54/y + t^8.6/y + t^8.77/y + t^8.83/y - t^4.33*y + t^8.13*y + t^8.36*y + t^8.54*y + t^8.6*y + t^8.77*y + t^8.83*y | g1^34*t^2.48 + t^2.65/g1^12 + t^2.88/g1^4 + g1^4*t^3.12 + g1^12*t^3.35 + g1^20*t^3.58 + g1^28*t^3.81 + t^3.98/g1^18 + g1^36*t^4.04 + t^4.21/g1^10 + g1^60*t^4.73 + g1^68*t^4.96 + g1^22*t^5.13 + t^5.31/g1^24 + g1^30*t^5.36 + t^5.54/g1^16 + g1^38*t^5.6 + t^5.77/g1^8 - t^6. + g1^54*t^6.06 - t^6.17/g1^46 + g1^8*t^6.23 + g1^62*t^6.29 - t^6.4/g1^38 + 2*g1^16*t^6.46 + g1^70*t^6.52 + 3*g1^24*t^6.69 + t^6.87/g1^22 + g1^32*t^6.92 + g1^40*t^7.15 + g1^94*t^7.21 - t^7.33/g1^6 + 2*g1^48*t^7.38 + g1^102*t^7.44 - t^7.5/g1^52 + 3*g1^56*t^7.61 + g1^10*t^7.79 + 2*g1^64*t^7.84 + t^7.96/g1^36 + g1^18*t^8.02 + 2*g1^72*t^8.08 + t^8.19/g1^28 + g1^26*t^8.25 + g1^80*t^8.31 + t^8.42/g1^20 - 2*g1^34*t^8.48 + 2*g1^88*t^8.54 + t^8.6/g1^66 - (2*t^8.65)/g1^12 + 2*g1^96*t^8.77 - t^8.83/g1^58 - (3*t^8.88)/g1^4 + 2*g1^50*t^8.94 - t^4.33/(g1^6*y) + (g1^22*t^8.13)/y + (g1^30*t^8.36)/y + t^8.54/(g1^16*y) + (g1^38*t^8.6)/y + t^8.77/(g1^8*y) + (g1^46*t^8.83)/y - (t^4.33*y)/g1^6 + g1^22*t^8.13*y + g1^30*t^8.36*y + (t^8.54*y)/g1^16 + g1^38*t^8.6*y + (t^8.77*y)/g1^8 + g1^46*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 3808 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_4M_7$ | 0.5884 | 0.7213 | 0.8157 | [X:[1.353], M:[0.647, 1.1177, 0.8039, 1.0392, 0.9608, 1.1961, 0.9608], q:[0.7794, 0.5736], qb:[0.6225, 0.2598], phi:[0.4412]] | t^2.5 + t^2.65 + 2*t^2.88 + t^3.35 + t^3.59 + t^3.82 + t^3.97 + t^4.06 + t^4.21 + t^4.77 + t^5. + t^5.15 + t^5.29 + 2*t^5.38 + 2*t^5.53 + 2*t^5.76 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 3802 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_4q_2\tilde{q}_2$ | 0.5737 | 0.6954 | 0.825 | [X:[1.4737], M:[0.5263, 1.1579, 0.7368, 1.0526, 0.9474, 1.2632], q:[0.7895, 0.6842], qb:[0.5789, 0.2632], phi:[0.4211]] | t^2.53 + 2*t^2.84 + t^3.16 + t^3.47 + 2*t^3.79 + 2*t^4.11 + t^4.42 + t^5.05 + 3*t^5.37 + 2*t^5.68 - t^6. - t^4.26/y - t^4.26*y | detail | {a: 62961/109744, c: 38159/54872, X1: 28/19, M1: 10/19, M2: 22/19, M3: 14/19, M4: 20/19, M5: 18/19, M6: 24/19, q1: 15/19, q2: 13/19, qb1: 11/19, qb2: 5/19, phi1: 8/19} |
| 3807 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_5M_7$ | 0.5812 | 0.7104 | 0.8181 | [X:[1.3389], M:[0.6611, 1.113, 0.8117, 1.0377, 0.9623, 1.1883, 1.0377], q:[0.7782, 0.5607], qb:[0.6276, 0.2594], phi:[0.4435]] | t^2.46 + t^2.66 + 2*t^3.11 + t^3.34 + t^3.56 + t^3.79 + t^3.99 + t^4.02 + t^4.22 + t^4.69 + t^4.92 + t^5.12 + t^5.32 + 2*t^5.57 + t^5.77 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 3814 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.6047 | 0.7522 | 0.8039 | [X:[1.3607], M:[0.6393, 1.1202, 0.7996, 1.0401, 0.9599, 1.2004, 0.7195], q:[0.7801, 0.5806], qb:[0.6197, 0.26], phi:[0.4399]] | t^2.16 + t^2.52 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + t^3.96 + t^4.08 + t^4.2 + t^4.32 + t^4.68 + 2*t^4.8 + 2*t^5.04 + t^5.16 + 2*t^5.28 + t^5.4 + 2*t^5.52 + t^5.64 + 2*t^5.76 - t^6. - t^4.32/y - t^4.32*y | detail | |
| 3816 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6056 | 0.7571 | 0.7998 | [X:[1.3448], M:[0.6552, 1.1149, 0.8084, 1.0383, 0.9617, 1.1916, 0.6724], q:[0.7787, 0.5661], qb:[0.6255, 0.2596], phi:[0.4425]] | t^2.02 + t^2.48 + t^2.66 + t^2.89 + t^3.11 + t^3.34 + t^3.57 + t^3.8 + 2*t^4.03 + t^4.21 + t^4.49 + t^4.67 + t^4.72 + t^4.9 + t^4.95 + 2*t^5.13 + t^5.31 + 2*t^5.36 + t^5.54 + 2*t^5.59 + t^5.77 + t^5.82 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 3805 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ M_7\phi_1^2$ | 0.5746 | 0.7002 | 0.8206 | [X:[1.3271], M:[0.6729, 1.109, 0.8183, 1.0363, 0.9637, 1.1817, 1.109], q:[0.7773, 0.5498], qb:[0.6319, 0.2591], phi:[0.4455]] | t^2.43 + t^2.89 + t^3.11 + 2*t^3.33 + t^3.55 + t^3.76 + t^3.98 + t^4.01 + t^4.23 + t^4.64 + t^4.85 + t^5.32 + t^5.54 + t^5.75 + t^5.97 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 3813 | $M_1q_1q_2$ + $ 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_3M_6$ + $ q_2^2\tilde{q}_2^2$ | 0.5628 | 0.6804 | 0.8271 | [X:[1.5294], M:[0.4706, 1.1765, 0.7059, 1.0588, 0.9412, 1.2941], q:[0.7941, 0.7353], qb:[0.5588, 0.2647], phi:[0.4118]] | t^2.47 + t^2.82 + t^3. + t^3.18 + t^3.53 + t^3.71 + t^3.88 + t^4.06 + t^4.24 + t^4.59 + t^4.94 + t^5.29 + 2*t^5.65 - t^4.24/y - t^4.24*y | detail | {a: 22119/39304, c: 26743/39304, X1: 26/17, M1: 8/17, M2: 20/17, M3: 12/17, M4: 18/17, M5: 16/17, M6: 22/17, q1: 27/34, q2: 25/34, qb1: 19/34, qb2: 9/34, phi1: 7/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2827 | 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_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ | 0.6011 | 0.7433 | 0.8087 | [X:[1.3686], M:[0.6314, 1.1229, 0.7952, 1.041, 0.959], q:[0.7807, 0.5879], qb:[0.6169, 0.2602], phi:[0.4386]] | t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.86 + t^3.95 + t^4.11 + t^4.19 + t^4.77 + t^4.84 + t^4.93 + t^5.02 + t^5.09 + t^5.18 + 2*t^5.26 + t^5.42 + 2*t^5.51 + t^5.67 + 2*t^5.75 - t^6. - t^4.32/y - t^4.32*y | detail |