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 |
|---|---|---|---|---|---|---|---|---|---|
| 4269 | 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_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_3^2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ | 0.6977 | 0.8852 | 0.7882 | [X:[], M:[1.0, 1.1818, 1.0, 0.8182, 0.8182, 0.7273, 0.7273], q:[0.7727, 0.4091], qb:[0.5909, 0.4091], phi:[0.4545]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 14859/21296, c: 4713/5324, M1: 1, M2: 13/11, M3: 1, M4: 9/11, M5: 9/11, M6: 8/11, M7: 8/11, q1: 17/22, q2: 9/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_5M_6$, $ M_4M_7$, $ M_5M_7$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1M_6$, $ M_3M_6$, $ M_1M_7$, $ M_3M_7$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_3M_4$, $ M_1M_5$, $ M_3M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$ | $M_1M_3$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ M_6\phi_1q_2\tilde{q}_2$, $ M_7\phi_1q_2\tilde{q}_2$ | 2 | 2*t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.55 + t^3.82 + t^4.09 + 5*t^4.36 + 4*t^4.64 + 6*t^4.91 + 6*t^5.18 + 3*t^5.45 + 4*t^5.73 + 2*t^6. + 3*t^6.27 + 9*t^6.55 + 8*t^6.82 + 11*t^7.09 + 14*t^7.36 + 9*t^7.64 + 10*t^7.91 + 4*t^8.18 + 4*t^8.45 + 12*t^8.73 - t^4.36/y - (2*t^6.55)/y - t^6.82/y - t^7.09/y + t^7.36/y + (5*t^7.64)/y + (4*t^7.91)/y + (8*t^8.18)/y + (4*t^8.45)/y + t^8.73/y - t^4.36*y - 2*t^6.55*y - t^6.82*y - t^7.09*y + t^7.36*y + 5*t^7.64*y + 4*t^7.91*y + 8*t^8.18*y + 4*t^8.45*y + t^8.73*y | 2*t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.55 + t^3.82 + t^4.09 + 5*t^4.36 + 4*t^4.64 + 6*t^4.91 + 6*t^5.18 + 3*t^5.45 + 4*t^5.73 + 2*t^6. + 3*t^6.27 + 9*t^6.55 + 8*t^6.82 + 11*t^7.09 + 14*t^7.36 + 9*t^7.64 + 10*t^7.91 + 4*t^8.18 + 4*t^8.45 + 12*t^8.73 - t^4.36/y - (2*t^6.55)/y - t^6.82/y - t^7.09/y + t^7.36/y + (5*t^7.64)/y + (4*t^7.91)/y + (8*t^8.18)/y + (4*t^8.45)/y + t^8.73/y - t^4.36*y - 2*t^6.55*y - t^6.82*y - t^7.09*y + t^7.36*y + 5*t^7.64*y + 4*t^7.91*y + 8*t^8.18*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 5741 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_3^2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.7176 | 0.9221 | 0.7782 | [X:[], M:[1.0, 1.1818, 1.0, 0.8182, 0.8182, 0.7273, 0.7273, 0.7273], q:[0.7727, 0.4091], qb:[0.5909, 0.4091], phi:[0.4545]] | 3*t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.55 + t^4.09 + 8*t^4.36 + 6*t^4.64 + 7*t^4.91 + 8*t^5.18 + 3*t^5.45 + 5*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 7641/10648, c: 9819/10648, M1: 1, M2: 13/11, M3: 1, M4: 9/11, M5: 9/11, M6: 8/11, M7: 8/11, M8: 8/11, q1: 17/22, q2: 9/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |
| 5740 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_3^2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_7\phi_1q_2^2$ + $ M_8q_1\tilde{q}_2$ | 0.7131 | 0.912 | 0.7819 | [X:[], M:[1.0, 1.1818, 1.0, 0.8182, 0.8182, 0.7273, 0.7273, 0.8182], q:[0.7727, 0.4091], qb:[0.5909, 0.4091], phi:[0.4545]] | 2*t^2.18 + 3*t^2.45 + t^2.73 + 2*t^3. + t^3.82 + t^4.09 + 5*t^4.36 + 6*t^4.64 + 9*t^4.91 + 7*t^5.18 + 5*t^5.45 + 2*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 7593/10648, c: 19421/21296, M1: 1, M2: 13/11, M3: 1, M4: 9/11, M5: 9/11, M6: 8/11, M7: 8/11, M8: 9/11, q1: 17/22, q2: 9/22, qb1: 13/22, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2267 | 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_1^2$ + $ M_4q_1q_2$ + $ M_2M_4$ + $ M_3^2$ + $ M_2M_5$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6779 | 0.8483 | 0.7991 | [X:[], M:[1.0, 1.1818, 1.0, 0.8182, 0.8182, 0.7273], q:[0.7727, 0.4091], qb:[0.5909, 0.4091], phi:[0.4545]] | t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.55 + 2*t^3.82 + t^4.09 + 3*t^4.36 + 2*t^4.64 + 5*t^4.91 + 4*t^5.18 + 3*t^5.45 + 3*t^5.73 + 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 3609/5324, c: 9033/10648, M1: 1, M2: 13/11, M3: 1, M4: 9/11, M5: 9/11, M6: 8/11, q1: 17/22, q2: 9/22, qb1: 13/22, qb2: 9/22, phi1: 5/11} |