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 |
|---|---|---|---|---|---|---|---|---|---|
| 1691 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_4X_1$ | 0.6779 | 0.8353 | 0.8115 | [X:[1.3337], M:[1.0377, 1.1109, 0.9634, 0.6663, 0.7406, 0.8149, 1.0366], q:[0.7777, 0.4074], qb:[0.5549, 0.4817], phi:[0.4446]] | [X:[[18]], M:[[32], [-12], [22], [-18], [-8], [2], [-22]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ \phi_1^2$, $ M_7$, $ M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ X_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_6$, $ M_6^2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_5M_7$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_5$, $ M_6M_7$, $ M_2M_6$, $ M_7\phi_1^2$ | . | -1 | t^2.22 + t^2.44 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.66 + t^4.67 + 2*t^4.89 + t^5.11 + 3*t^5.33 + 2*t^5.55 + t^5.78 - t^6. + 2*t^6.22 + t^6.23 + 2*t^6.44 + 3*t^6.45 + 4*t^6.67 + t^6.88 + 3*t^6.89 + 4*t^7.11 + 4*t^7.33 + t^7.34 + t^7.55 + 3*t^7.56 + t^7.77 + 3*t^7.78 + 5*t^8. + t^8.44 + 2*t^8.45 + 3*t^8.66 + 2*t^8.67 + t^8.88 + 4*t^8.89 - t^4.33/y - t^6.56/y - t^6.78/y + t^7.22/y - t^7.45/y + t^7.67/y + (2*t^7.89)/y + (2*t^8.11)/y + (2*t^8.33)/y + (2*t^8.55)/y + t^8.56/y + (2*t^8.78)/y - t^4.33*y - t^6.56*y - t^6.78*y + t^7.22*y - t^7.45*y + t^7.67*y + 2*t^7.89*y + 2*t^8.11*y + 2*t^8.33*y + 2*t^8.55*y + t^8.56*y + 2*t^8.78*y | t^2.22/g1^8 + g1^2*t^2.44 + g1^12*t^2.67 + t^3.11/g1^22 + g1^32*t^3.11 + t^3.33/g1^12 + g1^8*t^3.78 + t^4./g1^36 + g1^18*t^4. + t^4.22/g1^26 + g1^28*t^4.22 + (2*t^4.44)/g1^16 + t^4.66/g1^60 + t^4.67/g1^6 + 2*g1^4*t^4.89 + g1^14*t^5.11 + t^5.33/g1^30 + 2*g1^24*t^5.33 + (2*t^5.55)/g1^20 + t^5.78/g1^10 - t^6. + t^6.22/g1^44 + g1^10*t^6.22 + g1^64*t^6.23 + (2*t^6.44)/g1^34 + 3*g1^20*t^6.45 + (3*t^6.67)/g1^24 + g1^30*t^6.67 + t^6.88/g1^68 + (2*t^6.89)/g1^14 + g1^40*t^6.89 + (2*t^7.11)/g1^58 + (2*t^7.11)/g1^4 + (2*t^7.33)/g1^48 + 2*g1^6*t^7.33 + g1^60*t^7.34 + t^7.55/g1^38 + 3*g1^16*t^7.56 + t^7.77/g1^82 + (2*t^7.78)/g1^28 + g1^26*t^7.78 + t^8./g1^72 + (2*t^8.)/g1^18 + 2*g1^36*t^8. + (2*t^8.44)/g1^52 - g1^2*t^8.44 + 2*g1^56*t^8.45 + t^8.66/g1^96 + (2*t^8.66)/g1^42 + g1^12*t^8.67 + g1^66*t^8.67 + t^8.88/g1^86 + (4*t^8.89)/g1^32 - (g1^6*t^4.33)/y - t^6.56/(g1^2*y) - (g1^8*t^6.78)/y + t^7.22/(g1^26*y) - (g1^38*t^7.45)/y + t^7.67/(g1^6*y) + (2*g1^4*t^7.89)/y + (2*g1^14*t^8.11)/y + t^8.33/(g1^30*y) + (g1^24*t^8.33)/y + (2*t^8.55)/(g1^20*y) + (g1^34*t^8.56)/y + t^8.78/(g1^10*y) + (g1^44*t^8.78)/y - g1^6*t^4.33*y - (t^6.56*y)/g1^2 - g1^8*t^6.78*y + (t^7.22*y)/g1^26 - g1^38*t^7.45*y + (t^7.67*y)/g1^6 + 2*g1^4*t^7.89*y + 2*g1^14*t^8.11*y + (t^8.33*y)/g1^30 + g1^24*t^8.33*y + (2*t^8.55*y)/g1^20 + g1^34*t^8.56*y + (t^8.78*y)/g1^10 + g1^44*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 4080 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_4X_1$ + $ M_2M_8$ | 0.6881 | 0.8524 | 0.8073 | [X:[1.3242], M:[1.0209, 1.1172, 0.9518, 0.6758, 0.7448, 0.8138, 1.0482, 0.8828], q:[0.7793, 0.4069], qb:[0.5722, 0.4759], phi:[0.4414]] | t^2.23 + t^2.44 + 2*t^2.65 + t^3.06 + t^3.14 + t^3.77 + t^3.97 + t^4.05 + t^4.18 + t^4.26 + 2*t^4.47 + t^4.68 + t^4.76 + 3*t^4.88 + 2*t^5.09 + 4*t^5.3 + t^5.38 + t^5.59 + t^5.71 + t^5.79 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 4079 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_3M_7$ + $ M_4X_1$ + $ M_5M_8$ | 0.6585 | 0.7996 | 0.8235 | [X:[1.3308], M:[1.0326, 1.1128, 0.9599, 0.6692, 0.7419, 0.8145, 1.0401, 1.2581], q:[0.7782, 0.4073], qb:[0.5602, 0.4799], phi:[0.4436]] | t^2.44 + t^2.66 + t^3.1 + t^3.12 + t^3.34 + 2*t^3.77 + t^3.99 + t^4.02 + t^4.21 + t^4.23 + t^4.45 + t^4.69 + t^4.89 + t^5.11 + t^5.32 + t^5.56 + t^5.78 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1089 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.7031 | 0.883 | 0.7963 | [X:[], M:[1.0063, 1.1227, 0.9418, 0.684, 0.7484, 0.8129], q:[0.7807, 0.4064], qb:[0.5873, 0.4709], phi:[0.4387]] | t^2.05 + t^2.25 + t^2.44 + t^2.63 + t^2.83 + t^3.02 + t^3.37 + t^3.75 + 2*t^4.1 + t^4.14 + 2*t^4.3 + 3*t^4.49 + 2*t^4.68 + t^4.84 + 3*t^4.88 + 3*t^5.07 + 3*t^5.26 + t^5.42 + t^5.46 + t^5.61 + t^5.65 + t^5.81 + t^5.84 - t^6. - t^4.32/y - t^4.32*y | detail | {a: 2701375/3841992, c: 424037/480249, M1: 2092/2079, M2: 778/693, M3: 178/189, M4: 158/231, M5: 1556/2079, M6: 1690/2079, q1: 541/693, q2: 845/2079, qb1: 37/63, qb2: 89/189, phi1: 304/693} |