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 |
|---|---|---|---|---|---|---|---|---|---|
| 47040 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_3q_1\tilde{q}_1$ | 0.6963 | 0.8725 | 0.7981 | [X:[], M:[0.7273, 1.0909, 0.7273, 0.9091], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 14829/21296, c: 4645/5324, M1: 8/11, M2: 12/11, M3: 8/11, M4: 10/11, 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$, $ M_4$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ 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_1M_4$, $ M_3M_4$, $ 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_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_4q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$ | . | -2 | 2*t^2.18 + 3*t^2.73 + t^3. + t^3.55 + t^3.82 + 2*t^4.09 + 6*t^4.36 + 6*t^4.91 + 2*t^5.18 + 6*t^5.45 + 3*t^5.73 - 2*t^6. + 4*t^6.27 + 11*t^6.55 + 4*t^6.82 + 15*t^7.09 + t^7.36 + 8*t^7.64 + 6*t^7.91 + 5*t^8.18 + 8*t^8.45 + 7*t^8.73 - t^4.36/y - (2*t^6.55)/y - t^7.09/y + t^7.36/y + t^7.64/y + (6*t^7.91)/y + (4*t^8.18)/y + (3*t^8.45)/y + (2*t^8.73)/y - t^4.36*y - 2*t^6.55*y - t^7.09*y + t^7.36*y + t^7.64*y + 6*t^7.91*y + 4*t^8.18*y + 3*t^8.45*y + 2*t^8.73*y | 2*t^2.18 + 3*t^2.73 + t^3. + t^3.55 + t^3.82 + 2*t^4.09 + 6*t^4.36 + 6*t^4.91 + 2*t^5.18 + 6*t^5.45 + 3*t^5.73 - 2*t^6. + 4*t^6.27 + 11*t^6.55 + 4*t^6.82 + 15*t^7.09 + t^7.36 + 8*t^7.64 + 6*t^7.91 + 5*t^8.18 + 8*t^8.45 + 7*t^8.73 - t^4.36/y - (2*t^6.55)/y - t^7.09/y + t^7.36/y + t^7.64/y + (6*t^7.91)/y + (4*t^8.18)/y + (3*t^8.45)/y + (2*t^8.73)/y - t^4.36*y - 2*t^6.55*y - t^7.09*y + t^7.36*y + t^7.64*y + 6*t^7.91*y + 4*t^8.18*y + 3*t^8.45*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 50982 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_3q_1\tilde{q}_1$ + $ M_3M_5$ | 0.6765 | 0.8356 | 0.8096 | [X:[], M:[0.7273, 1.0909, 0.7273, 0.9091, 1.2727], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | t^2.18 + 3*t^2.73 + t^3. + t^3.55 + 2*t^3.82 + 2*t^4.09 + 4*t^4.36 + 3*t^4.91 + t^5.18 + 6*t^5.45 + 2*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 7203/10648, c: 8897/10648, M1: 8/11, M2: 12/11, M3: 8/11, M4: 10/11, M5: 14/11, q1: 17/22, q2: 1/2, qb1: 1/2, qb2: 9/22, phi1: 5/11} |
| 55397 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_2M_4$ + $ M_3q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ | 0.7162 | 0.9094 | 0.7876 | [X:[], M:[0.7273, 1.0909, 0.7273, 0.9091, 0.7273], q:[0.7727, 0.5], qb:[0.5, 0.4091], phi:[0.4545]] | 3*t^2.18 + 3*t^2.73 + t^3. + t^3.55 + 2*t^4.09 + 9*t^4.36 + 9*t^4.91 + 3*t^5.18 + 6*t^5.45 + 4*t^5.73 - 4*t^6. - t^4.36/y - t^4.36*y | detail | {a: 3813/5324, c: 9683/10648, M1: 8/11, M2: 12/11, M3: 8/11, M4: 10/11, M5: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46489 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ q_2^2\tilde{q}_1^2$ + $ M_3\phi_1\tilde{q}_2^2$ + $ M_2M_4$ | 0.7011 | 0.8806 | 0.7962 | [X:[], M:[0.6816, 1.1061, 0.6816, 0.8939], q:[0.7765, 0.5419], qb:[0.4581, 0.4358], phi:[0.4469]] | 2*t^2.04 + 2*t^2.68 + t^2.93 + t^3. + t^3.64 + t^3.7 + t^4.02 + 4*t^4.09 + t^4.27 + t^4.34 + t^4.59 + 4*t^4.73 + 2*t^4.98 + 2*t^5.04 + 3*t^5.36 + 2*t^5.61 + 3*t^5.68 + t^5.75 + t^5.87 - 2*t^6. - t^4.34/y - t^4.34*y | detail |