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 |
|---|---|---|---|---|---|---|---|---|---|
| 1459 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_1M_3$ + $ M_5M_6$ | 0.7024 | 0.8618 | 0.815 | [X:[], M:[1.0, 0.9328, 1.0, 0.9328, 1.0672, 0.9328], q:[0.5336, 0.4664], qb:[0.4664, 0.6008], phi:[0.4832]] | [X:[], M:[[0], [-4], [0], [-4], [4], [-4]], q:[[2], [-2]], qb:[[-2], [6]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_2M_6$, $ M_4M_6$, $ M_6^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_2M_3$, $ M_1M_4$, $ M_3M_4$, $ M_1M_6$, $ M_3M_6$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_3\phi_1^2$ | $M_3^2$ | -3 | 3*t^2.8 + t^2.9 + 2*t^3. + t^3.4 + 3*t^4.25 + 2*t^4.45 + 3*t^4.65 + t^4.85 + t^5.05 + 4*t^5.6 + 3*t^5.7 + 4*t^5.8 + 2*t^5.9 - 3*t^6. - t^6.2 + t^6.3 + t^6.81 + 7*t^7.05 + 3*t^7.15 + 7*t^7.25 - t^7.35 + 5*t^7.45 + t^7.55 + 4*t^7.65 - 2*t^7.75 + 2*t^7.85 + 3*t^8.05 - t^8.16 + t^8.26 + 5*t^8.39 + t^8.46 + 9*t^8.5 + 4*t^8.6 + 8*t^8.7 - 9*t^8.8 + 4*t^8.9 - t^4.45/y - (2*t^7.25)/y - t^7.35/y + t^7.55/y + (2*t^7.65)/y + (3*t^8.6)/y + (3*t^8.7)/y + (6*t^8.8)/y + (2*t^8.9)/y - t^4.45*y - 2*t^7.25*y - t^7.35*y + t^7.55*y + 2*t^7.65*y + 3*t^8.6*y + 3*t^8.7*y + 6*t^8.8*y + 2*t^8.9*y | (3*t^2.8)/g1^4 + t^2.9/g1^2 + 2*t^3. + g1^8*t^3.4 + (3*t^4.25)/g1^5 + (2*t^4.45)/g1 + 3*g1^3*t^4.65 + g1^7*t^4.85 + g1^11*t^5.05 + (4*t^5.6)/g1^8 + (3*t^5.7)/g1^6 + (4*t^5.8)/g1^4 + (2*t^5.9)/g1^2 - 3*t^6. - g1^4*t^6.2 + g1^6*t^6.3 + g1^16*t^6.81 + (7*t^7.05)/g1^9 + (3*t^7.15)/g1^7 + (7*t^7.25)/g1^5 - t^7.35/g1^3 + (5*t^7.45)/g1 + g1*t^7.55 + 4*g1^3*t^7.65 - 2*g1^5*t^7.75 + 2*g1^7*t^7.85 + 3*g1^11*t^8.05 - g1^13*t^8.16 + g1^15*t^8.26 + (5*t^8.39)/g1^12 + g1^19*t^8.46 + (9*t^8.5)/g1^10 + (4*t^8.6)/g1^8 + (8*t^8.7)/g1^6 - (9*t^8.8)/g1^4 + (4*t^8.9)/g1^2 - t^4.45/(g1*y) - (2*t^7.25)/(g1^5*y) - t^7.35/(g1^3*y) + (g1*t^7.55)/y + (2*g1^3*t^7.65)/y + (3*t^8.6)/(g1^8*y) + (3*t^8.7)/(g1^6*y) + (6*t^8.8)/(g1^4*y) + (2*t^8.9)/(g1^2*y) - (t^4.45*y)/g1 - (2*t^7.25*y)/g1^5 - (t^7.35*y)/g1^3 + g1*t^7.55*y + 2*g1^3*t^7.65*y + (3*t^8.6*y)/g1^8 + (3*t^8.7*y)/g1^6 + (6*t^8.8*y)/g1^4 + (2*t^8.9*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2544 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.603 | 0.7726 | 0.7804 | [X:[], M:[1.0, 0.7143, 1.0, 0.7143, 1.2857, 0.7143], q:[0.6429, 0.3571], qb:[0.3571, 0.9286], phi:[0.4286]] | 3*t^2.14 + t^2.57 + 2*t^3. + 3*t^3.43 + 6*t^4.29 + 4*t^4.71 + 7*t^5.14 + 9*t^5.57 + t^6. - t^4.29/y - t^4.29*y | detail | {a: 3309/5488, c: 265/343, M1: 1, M2: 5/7, M3: 1, M4: 5/7, M5: 9/7, M6: 5/7, q1: 9/14, q2: 5/14, qb1: 5/14, qb2: 13/14, phi1: 3/7} |
| 2546 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_2^2$ | 0.6734 | 0.8381 | 0.8034 | [X:[], M:[1.0, 0.8182, 1.0, 0.8182, 1.1818, 0.8182], q:[0.5909, 0.4091], qb:[0.4091, 0.7727], phi:[0.4545]] | 3*t^2.45 + t^2.73 + 2*t^3. + 3*t^3.82 + t^4.09 + 2*t^4.36 + 7*t^4.91 + 3*t^5.18 + 5*t^5.45 + 2*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 3585/5324, c: 17849/21296, M1: 1, M2: 9/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, q1: 13/22, q2: 9/22, qb1: 9/22, qb2: 17/22, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 946 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_1M_3$ | 0.6971 | 0.8526 | 0.8176 | [X:[], M:[1.0, 0.9519, 1.0, 0.9519, 1.0481], q:[0.524, 0.476], qb:[0.476, 0.5721], phi:[0.488]] | 2*t^2.86 + t^2.93 + 2*t^3. + t^3.14 + t^3.29 + 3*t^4.32 + 2*t^4.46 + 3*t^4.61 + t^4.75 + t^4.9 + t^5.71 + 2*t^5.78 + 2*t^5.86 + 2*t^5.93 - t^6. - t^4.46/y - t^4.46*y | detail |