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 |
|---|---|---|---|---|---|---|---|---|---|
| 46736 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1q_2^2$ | 0.5733 | 0.7067 | 0.8113 | [X:[], M:[1.0667, 0.9333, 0.9333, 0.9333], q:[0.6, 0.3333], qb:[0.4667, 1.0], phi:[0.4]] | [X:[], M:[[4], [-4], [-4], [-4]], q:[[-9], [5]], qb:[[13], [15]], phi:[[-6]]] | 1 | {a: 43/75, c: 53/75, M1: 16/15, M2: 14/15, M3: 14/15, M4: 14/15, q1: 3/5, q2: 1/3, qb1: 7/15, qb2: 1, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_2\tilde{q}_1$, $ M_2$, $ M_3$, $ M_4$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2M_4$, $ M_3M_4$, $ M_4^2$ | $\phi_1^3q_2\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_1^2$ | -1 | 2*t^2.4 + 3*t^2.8 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + 5*t^5.2 + 4*t^5.6 - t^6. + 3*t^6.4 + 3*t^6.8 + 5*t^7.2 + 7*t^7.6 + 5*t^8. + 3*t^8.4 - 2*t^8.8 - t^4.2/y - t^6.6/y - (2*t^7.)/y + (2*t^7.4)/y + (2*t^7.8)/y + (6*t^8.2)/y + (3*t^8.6)/y - t^4.2*y - t^6.6*y - 2*t^7.*y + 2*t^7.4*y + 2*t^7.8*y + 6*t^8.2*y + 3*t^8.6*y | t^2.4/g1^12 + g1^18*t^2.4 + (3*t^2.8)/g1^4 + g1^12*t^3.6 + 2*g1^20*t^4. + g1^28*t^4.4 + t^4.8/g1^24 + 2*g1^6*t^4.8 + g1^36*t^4.8 + (2*t^5.2)/g1^16 + 3*g1^14*t^5.2 + (4*t^5.6)/g1^8 - 2*t^6. + g1^30*t^6. - t^6.4/g1^22 + 2*g1^8*t^6.4 + 2*g1^38*t^6.4 - (2*t^6.8)/g1^14 + 4*g1^16*t^6.8 + g1^46*t^6.8 + t^7.2/g1^36 + 3*g1^24*t^7.2 + g1^54*t^7.2 + (2*t^7.6)/g1^28 + 2*g1^2*t^7.6 + 3*g1^32*t^7.6 + t^8./g1^20 + g1^10*t^8. + 3*g1^40*t^8. + (3*t^8.4)/g1^12 - 3*g1^18*t^8.4 + 3*g1^48*t^8.4 - (7*t^8.8)/g1^4 + 2*g1^26*t^8.8 + 3*g1^56*t^8.8 - t^4.2/(g1^6*y) - t^6.6/(g1^18*y) - (2*t^7.)/(g1^10*y) + (2*t^7.4)/(g1^2*y) + (2*g1^6*t^7.8)/y + (3*t^8.2)/(g1^16*y) + (3*g1^14*t^8.2)/y + (3*t^8.6)/(g1^8*y) - (t^4.2*y)/g1^6 - (t^6.6*y)/g1^18 - (2*t^7.*y)/g1^10 + (2*t^7.4*y)/g1^2 + 2*g1^6*t^7.8*y + (3*t^8.2*y)/g1^16 + 3*g1^14*t^8.2*y + (3*t^8.6*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48241 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.5902 | 0.7354 | 0.8027 | [X:[], M:[1.0713, 0.9287, 0.9287, 0.9287, 0.7862], q:[0.5896, 0.3391], qb:[0.4817, 1.0173], phi:[0.3931]] | 2*t^2.36 + t^2.46 + 3*t^2.79 + 2*t^4.07 + t^4.5 + 3*t^4.72 + 3*t^4.82 + t^4.92 + 5*t^5.14 + 3*t^5.25 + 4*t^5.57 - 3*t^6. - t^4.18/y - t^4.18*y | detail | |
| 46817 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1q_2^2$ + $ q_2^2\tilde{q}_1^2$ + $ \phi_1^2X_1$ | 0.5201 | 0.6173 | 0.8425 | [X:[1.3333], M:[1.1111, 0.8889, 0.8889, 0.8889], q:[0.5, 0.3889], qb:[0.6111, 1.1667], phi:[0.3333]] | 3*t^2.67 + t^3. + 2*t^4. + t^4.67 + t^5. + 5*t^5.33 + 2*t^5.67 - 2*t^6. - t^4./y - t^4.*y | detail | {a: 337/648, c: 50/81, X1: 4/3, M1: 10/9, M2: 8/9, M3: 8/9, M4: 8/9, q1: 1/2, q2: 7/18, qb1: 11/18, qb2: 7/6, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46155 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_1M_3$ | 0.5673 | 0.6974 | 0.8134 | [X:[], M:[1.0642, 0.9358, 0.9358], q:[0.6055, 0.3303], qb:[0.4587, 0.9908], phi:[0.4037]] | t^2.37 + t^2.42 + 2*t^2.81 + t^3.19 + t^3.58 + 2*t^3.96 + t^4.35 + t^4.73 + 2*t^4.79 + t^4.84 + 2*t^5.17 + t^5.23 + t^5.56 + 2*t^5.61 + t^5.94 - t^4.21/y - t^4.21*y | detail |