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 |
|---|---|---|---|---|---|---|---|---|---|
| 46339 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1^2$ | 0.5686 | 0.6775 | 0.8392 | [X:[], M:[1.0, 0.8576, 1.2569], q:[0.8281, 0.8003], qb:[0.3142, 0.5712], phi:[0.3715]] | [X:[], M:[[0], [-10], [4]], q:[[9], [-7]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ q_2\tilde{q}_1$, $ M_3$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_1q_2$, $ M_2^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_2q_2\tilde{q}_1$ | . | -1 | t^2.57 + t^2.66 + t^3. + t^3.34 + 2*t^3.77 + t^4.11 + t^4.2 + t^4.54 + t^4.89 + t^5.15 + t^5.31 + t^5.92 - t^6. + t^6.34 + t^6.43 + t^6.69 + t^6.77 + t^6.85 + t^7.11 + t^7.2 + t^7.46 + 2*t^7.54 + t^7.72 + t^7.89 + 2*t^7.97 + t^8.31 + t^8.4 + t^8.49 - 2*t^8.57 - t^8.66 + t^8.74 + t^8.92 - t^4.11/y - t^6.69/y + t^7.54/y + t^8.23/y + t^8.57/y + t^8.66/y + t^8.92/y - t^4.11*y - t^6.69*y + t^7.54*y + t^8.23*y + t^8.57*y + t^8.66*y + t^8.92*y | t^2.57/g1^10 + g1^6*t^2.66 + t^3. + t^3.34/g1^6 + 2*g1^4*t^3.77 + t^4.11/g1^2 + g1^14*t^4.2 + g1^8*t^4.54 + g1^2*t^4.89 + t^5.15/g1^20 + g1^12*t^5.31 + t^5.92/g1^16 - t^6. + t^6.34/g1^6 + g1^10*t^6.43 + t^6.69/g1^12 + g1^4*t^6.77 + g1^20*t^6.85 + t^7.11/g1^2 + g1^14*t^7.2 + t^7.46/g1^8 + 2*g1^8*t^7.54 + t^7.72/g1^30 + g1^2*t^7.89 + 2*g1^18*t^7.97 + g1^12*t^8.31 + g1^28*t^8.4 + t^8.49/g1^26 - (2*t^8.57)/g1^10 - g1^6*t^8.66 + g1^22*t^8.74 + t^8.92/g1^16 - t^4.11/(g1^2*y) - t^6.69/(g1^12*y) + (g1^8*t^7.54)/y + t^8.23/(g1^4*y) + t^8.57/(g1^10*y) + (g1^6*t^8.66)/y + t^8.92/(g1^16*y) - (t^4.11*y)/g1^2 - (t^6.69*y)/g1^12 + g1^8*t^7.54*y + (t^8.23*y)/g1^4 + (t^8.57*y)/g1^10 + g1^6*t^8.66*y + (t^8.92*y)/g1^16 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46759 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1^2$ + $ M_2q_2\tilde{q}_1$ | 0.5684 | 0.6777 | 0.8386 | [X:[], M:[1.0, 0.875, 1.25], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | 2*t^2.62 + t^3. + t^3.38 + 2*t^3.75 + 2*t^4.12 + t^4.5 + t^4.88 + 2*t^5.25 - t^4.12/y - t^4.12*y | detail | {a: 291/512, c: 347/512, M1: 1, M2: 7/8, M3: 5/4, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
| 46404 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_1$ | 0.5797 | 0.6978 | 0.8308 | [X:[], M:[1.0, 0.8894, 1.2442, 0.8663], q:[0.7995, 0.8226], qb:[0.3111, 0.5553], phi:[0.3779]] | 2*t^2.6 + t^2.67 + t^3. + 2*t^3.73 + t^4.06 + t^4.13 + t^4.47 + t^4.87 + 3*t^5.2 + t^5.27 + t^5.34 + t^5.6 - 2*t^6. - t^4.13/y - t^4.13*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46042 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1^2$ + $ q_2\tilde{q}_1^2\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ | 0.588 | 0.713 | 0.8247 | [X:[], M:[1.0, 0.8478], q:[0.837, 0.7935], qb:[0.3152, 0.5761], phi:[0.3696]] | t^2.22 + t^2.54 + t^2.67 + t^3. + t^3.33 + t^3.78 + t^4.11 + t^4.24 + t^4.43 + t^4.57 + t^4.76 + 2*t^4.89 + t^5.09 + t^5.22 + t^5.35 + t^5.54 + t^5.87 - t^4.11/y - t^4.11*y | detail | {a: 1731/2944, c: 2099/2944, M1: 1, M2: 39/46, q1: 77/92, q2: 73/92, qb1: 29/92, qb2: 53/92, phi1: 17/46} |