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 |
|---|---|---|---|---|---|---|---|---|---|
| 1805 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_3q_1\tilde{q}_1$ | 0.688 | 0.8585 | 0.8014 | [X:[], M:[0.7273, 1.0909, 0.7273], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | [X:[], M:[[0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 333/484, c: 831/968, M1: 8/11, M2: 12/11, M3: 8/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_3$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$ | . | 0 | 2*t^2.18 + 2*t^2.73 + t^3. + t^3.27 + t^3.55 + t^3.82 + 2*t^4.09 + 6*t^4.36 + 4*t^4.91 + 2*t^5.18 + 5*t^5.45 + 2*t^5.73 + 4*t^6.27 + 11*t^6.55 + 3*t^6.82 + 10*t^7.09 + 3*t^7.36 + 8*t^7.64 + 4*t^7.91 + 3*t^8.18 + 7*t^8.45 + 14*t^8.73 - t^4.36/y - (2*t^6.55)/y + t^7.36/y + (4*t^7.91)/y + (4*t^8.18)/y + (3*t^8.45)/y + t^8.73/y - t^4.36*y - 2*t^6.55*y + t^7.36*y + 4*t^7.91*y + 4*t^8.18*y + 3*t^8.45*y + t^8.73*y | 2*t^2.18 + 2*t^2.73 + t^3. + t^3.27 + t^3.55 + t^3.82 + 2*t^4.09 + 6*t^4.36 + 4*t^4.91 + 2*t^5.18 + 5*t^5.45 + 2*t^5.73 + 4*t^6.27 + 11*t^6.55 + 3*t^6.82 + 10*t^7.09 + 3*t^7.36 + 8*t^7.64 + 4*t^7.91 + 3*t^8.18 + 7*t^8.45 + 14*t^8.73 - t^4.36/y - (2*t^6.55)/y + t^7.36/y + (4*t^7.91)/y + (4*t^8.18)/y + (3*t^8.45)/y + t^8.73/y - t^4.36*y - 2*t^6.55*y + t^7.36*y + 4*t^7.91*y + 4*t^8.18*y + 3*t^8.45*y + t^8.73*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 |
|---|---|---|---|---|---|---|---|---|
| 2819 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_1$ | 0.7079 | 0.8954 | 0.7906 | [X:[], M:[0.7273, 1.0909, 0.7273, 0.7273], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | 3*t^2.18 + 2*t^2.73 + t^3. + t^3.27 + t^3.55 + 2*t^4.09 + 9*t^4.36 + 6*t^4.91 + 3*t^5.18 + 6*t^5.45 + 3*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 15075/21296, c: 4767/5324, M1: 8/11, M2: 12/11, M3: 8/11, M4: 8/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 353 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ | 0.6916 | 0.8641 | 0.8004 | [X:[], M:[0.6876, 1.1041, 0.6876], q:[0.776, 0.5363], qb:[0.4637, 0.4322], phi:[0.4479]] | 2*t^2.06 + t^2.69 + t^2.91 + t^3. + t^3.31 + t^3.62 + t^3.72 + t^4.03 + 4*t^4.13 + t^4.25 + t^4.34 + t^4.56 + 2*t^4.75 + 2*t^4.97 + 2*t^5.06 + 3*t^5.38 + t^5.59 + 2*t^5.69 + t^5.78 + t^5.81 - t^6. - t^4.34/y - t^4.34*y | detail |