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 |
|---|---|---|---|---|---|---|---|---|---|
| 3031 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_6$ | 0.6272 | 0.7901 | 0.7938 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 20035/31944, c: 12619/15972, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_3$, $ q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_5^2$, $ M_4M_6$, $ \phi_1\tilde{q}_2^2$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_5\phi_1^2$, $ M_3M_4$, $ M_2M_5$, $ M_6^2$, $ M_3M_5$, $ M_6\phi_1^2$, $ M_4q_1q_2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_2M_6$, $ \phi_1^4$, $ M_5q_1q_2$, $ M_5\phi_1\tilde{q}_1^2$ | . | 0 | t^2.18 + t^2.36 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + 2*t^3.45 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + t^4.55 + t^4.73 + 2*t^4.91 + 2*t^5.09 + t^5.27 + 2*t^5.45 + 4*t^5.64 + 3*t^5.82 + 3*t^6.18 + 3*t^6.36 + 3*t^6.55 + 3*t^6.73 + 3*t^6.91 + 4*t^7.09 + 4*t^7.27 + 2*t^7.45 + 4*t^7.64 + 6*t^7.82 + 3*t^8. + 3*t^8.18 + 3*t^8.36 + 4*t^8.55 + 3*t^8.73 + 2*t^8.91 - t^4.45/y - t^6.82/y + t^7.55/y + t^7.91/y + (3*t^8.09)/y + (2*t^8.27)/y + (2*t^8.45)/y + (4*t^8.64)/y + (3*t^8.82)/y - t^4.45*y - t^6.82*y + t^7.55*y + t^7.91*y + 3*t^8.09*y + 2*t^8.27*y + 2*t^8.45*y + 4*t^8.64*y + 3*t^8.82*y | t^2.18 + t^2.36 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + 2*t^3.45 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + t^4.55 + t^4.73 + 2*t^4.91 + 2*t^5.09 + t^5.27 + 2*t^5.45 + 4*t^5.64 + 3*t^5.82 + 3*t^6.18 + 3*t^6.36 + 3*t^6.55 + 3*t^6.73 + 3*t^6.91 + 4*t^7.09 + 4*t^7.27 + 2*t^7.45 + 4*t^7.64 + 6*t^7.82 + 3*t^8. + 3*t^8.18 + 3*t^8.36 + 4*t^8.55 + 3*t^8.73 + 2*t^8.91 - t^4.45/y - t^6.82/y + t^7.55/y + t^7.91/y + (3*t^8.09)/y + (2*t^8.27)/y + (2*t^8.45)/y + (4*t^8.64)/y + (3*t^8.82)/y - t^4.45*y - t^6.82*y + t^7.55*y + t^7.91*y + 3*t^8.09*y + 2*t^8.27*y + 2*t^8.45*y + 4*t^8.64*y + 3*t^8.82*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 |
|---|---|---|---|---|---|---|---|---|
| 4905 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_2M_7$ | 0.63 | 0.7948 | 0.7927 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 0.9091, 0.9697], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.18 + t^2.36 + t^2.73 + 2*t^2.91 + t^3.27 + 2*t^3.45 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + t^4.55 + t^4.73 + 2*t^4.91 + 3*t^5.09 + t^5.27 + t^5.45 + 5*t^5.64 + 4*t^5.82 - t^6. - t^4.45/y - t^4.45*y | detail | {a: 13417/21296, c: 8463/10648, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 10/11, M7: 32/33, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 4906 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_3M_7$ | 0.6355 | 0.8041 | 0.7904 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 0.9091, 0.9091], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.18 + t^2.36 + 2*t^2.73 + t^2.91 + t^3.09 + 2*t^3.45 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + t^4.55 + t^4.73 + 3*t^4.91 + 3*t^5.09 + t^5.27 + 3*t^5.45 + 4*t^5.64 + 4*t^5.82 - t^6. - t^4.45/y - t^4.45*y | detail | {a: 3691/5808, c: 2335/2904, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 10/11, M7: 10/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 4904 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_6M_7$ | 0.6189 | 0.7761 | 0.7974 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 0.9091, 1.0909], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.18 + t^2.36 + t^2.91 + t^3.09 + 2*t^3.27 + 2*t^3.45 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + t^4.55 + t^4.73 + t^4.91 + t^5.09 + t^5.27 + 2*t^5.45 + 4*t^5.64 + 2*t^5.82 - t^6. - t^4.45/y - t^4.45*y | detail | {a: 39539/63888, c: 24791/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 10/11, M7: 12/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 4907 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ + $ M_3M_6$ + $ M_7q_1q_2$ | 0.6404 | 0.8128 | 0.7879 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.7879, 0.9091, 0.8485], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.18 + t^2.36 + t^2.55 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + t^3.45 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + t^4.55 + 2*t^4.73 + 3*t^4.91 + 3*t^5.09 + 2*t^5.27 + 3*t^5.45 + 4*t^5.64 + 3*t^5.82 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 40915/63888, c: 25963/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 26/33, M6: 10/11, M7: 28/33, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1979 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_1M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6q_1\tilde{q}_1$ | 0.6785 | 0.8569 | 0.7919 | [X:[], M:[1.1312, 1.1011, 0.914, 0.8688, 0.6817, 0.6968], q:[0.7753, 0.3409], qb:[0.5279, 0.5581], phi:[0.4495]] | t^2.05 + t^2.09 + t^2.61 + t^2.7 + t^2.74 + t^3.3 + t^3.35 + t^3.39 + t^4. + t^4.05 + t^4.09 + t^4.14 + t^4.18 + t^4.52 + t^4.61 + t^4.65 + 2*t^4.7 + t^4.74 + 2*t^4.79 + t^4.83 + t^5.21 + t^5.3 + t^5.35 + 3*t^5.39 + 2*t^5.44 + 2*t^5.48 + t^5.95 - t^6. - t^4.35/y - t^4.35*y | detail |