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 |
|---|---|---|---|---|---|---|---|---|---|
| 53432 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_4^2$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.7033 | 0.8629 | 0.815 | [X:[], M:[0.964, 0.9281, 1.0719, 1.0, 0.9281, 0.964], q:[0.554, 0.482], qb:[0.5899, 0.446], phi:[0.482]] | [X:[], M:[[2], [4], [-4], [0], [4], [2]], q:[[-3], [1]], qb:[[-5], [3]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_5$, $ M_1$, $ M_6$, $ \phi_1^2$, $ M_4$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ M_1M_2$, $ M_1M_5$, $ M_2M_6$, $ M_5M_6$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_1^2$, $ M_2M_4$, $ M_4M_5$, $ M_1M_6$, $ M_6^2$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_1M_4$, $ M_4M_6$, $ M_4\phi_1^2$ | . | -3 | 2*t^2.78 + 3*t^2.89 + t^3. + t^3.43 + t^4.12 + t^4.23 + t^4.34 + t^4.45 + 2*t^4.55 + t^4.66 + t^4.77 + t^4.88 + t^4.99 + 2*t^5.57 + 4*t^5.68 + 7*t^5.78 + t^5.89 - 3*t^6. - 2*t^6.11 + t^6.32 + t^6.86 + 2*t^6.91 + 4*t^7.01 + 4*t^7.12 + 3*t^7.23 + 3*t^7.34 + 4*t^7.45 + 3*t^7.55 + t^7.66 + 2*t^7.77 + 2*t^7.88 - t^8.09 + t^8.2 + t^8.24 + t^8.31 + 3*t^8.35 + t^8.42 + 4*t^8.46 + 9*t^8.57 + 12*t^8.68 - 3*t^8.78 - 9*t^8.89 - t^4.45/y - t^7.23/y - (3*t^7.34)/y + (3*t^7.55)/y + t^7.66/y + t^8.57/y + (6*t^8.68)/y + (5*t^8.78)/y + (3*t^8.89)/y - t^4.45*y - t^7.23*y - 3*t^7.34*y + 3*t^7.55*y + t^7.66*y + t^8.57*y + 6*t^8.68*y + 5*t^8.78*y + 3*t^8.89*y | 2*g1^4*t^2.78 + 3*g1^2*t^2.89 + t^3. + t^3.43/g1^8 + g1^7*t^4.12 + g1^5*t^4.23 + g1^3*t^4.34 + g1*t^4.45 + (2*t^4.55)/g1 + t^4.66/g1^3 + t^4.77/g1^5 + t^4.88/g1^7 + t^4.99/g1^9 + 2*g1^8*t^5.57 + 4*g1^6*t^5.68 + 7*g1^4*t^5.78 + g1^2*t^5.89 - 3*t^6. - (2*t^6.11)/g1^2 + t^6.32/g1^6 + t^6.86/g1^16 + 2*g1^11*t^6.91 + 4*g1^9*t^7.01 + 4*g1^7*t^7.12 + 3*g1^5*t^7.23 + 3*g1^3*t^7.34 + 4*g1*t^7.45 + (3*t^7.55)/g1 + t^7.66/g1^3 + (2*t^7.77)/g1^5 + (2*t^7.88)/g1^7 - t^8.09/g1^11 + t^8.2/g1^13 + g1^14*t^8.24 + t^8.31/g1^15 + 3*g1^12*t^8.35 + t^8.42/g1^17 + 4*g1^10*t^8.46 + 9*g1^8*t^8.57 + 12*g1^6*t^8.68 - 3*g1^4*t^8.78 - 9*g1^2*t^8.89 - (g1*t^4.45)/y - (g1^5*t^7.23)/y - (3*g1^3*t^7.34)/y + (3*t^7.55)/(g1*y) + t^7.66/(g1^3*y) + (g1^8*t^8.57)/y + (6*g1^6*t^8.68)/y + (5*g1^4*t^8.78)/y + (3*g1^2*t^8.89)/y - g1*t^4.45*y - g1^5*t^7.23*y - 3*g1^3*t^7.34*y + (3*t^7.55*y)/g1 + (t^7.66*y)/g1^3 + g1^8*t^8.57*y + 6*g1^6*t^8.68*y + 5*g1^4*t^8.78*y + 3*g1^2*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 56492 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_4^2$ + $ M_3M_5$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ \phi_1\tilde{q}_1^2$ | 0.6551 | 0.8218 | 0.7972 | [X:[], M:[0.8889, 0.7778, 1.2222, 1.0, 0.7778, 0.8889], q:[0.6667, 0.4444], qb:[0.7778, 0.3333], phi:[0.4444]] | 2*t^2.33 + 3*t^2.67 + t^3. + t^3.33 + t^3.67 + t^4. + 2*t^4.33 + 4*t^4.67 + 5*t^5. + 8*t^5.33 + 4*t^5.67 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 283/432, c: 355/432, M1: 8/9, M2: 7/9, M3: 11/9, M4: 1, M5: 7/9, M6: 8/9, q1: 2/3, q2: 4/9, qb1: 7/9, qb2: 1/3, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 48106 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_2M_3$ + $ M_4q_1\tilde{q}_2$ + $ M_4^2$ + $ M_3M_5$ | 0.7002 | 0.8574 | 0.8166 | [X:[], M:[0.9692, 0.9384, 1.0616, 1.0, 0.9384], q:[0.5462, 0.4846], qb:[0.577, 0.4538], phi:[0.4846]] | 2*t^2.82 + 2*t^2.91 + t^3. + t^3.09 + t^3.37 + t^4.18 + t^4.27 + t^4.36 + t^4.45 + 2*t^4.55 + t^4.64 + t^4.73 + t^4.82 + t^4.92 + 2*t^5.63 + 2*t^5.72 + 4*t^5.82 + 2*t^5.91 - t^6. - t^4.45/y - t^4.45*y | detail |