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 |
|---|---|---|---|---|---|---|---|---|---|
| 4666 | 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_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_3\phi_1^2$ | 0.6324 | 0.8142 | 0.7767 | [X:[], M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 13467/21296, c: 17339/21296, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, phi1: 5/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_7$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4M_7$, $ M_6M_7$, $ M_7^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ M_2M_7$, $ M_2^2$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ M_1M_7$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_3M_7$, $ \phi_1^4$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$ | $\phi_1^3\tilde{q}_1^2$ | -1 | 3*t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^3.55 + t^4.09 + 7*t^4.36 + 2*t^4.64 + 6*t^4.91 + 3*t^5.18 + 7*t^5.45 + 5*t^5.73 - t^6. + 4*t^6.27 + 13*t^6.55 + 4*t^6.82 + 12*t^7.09 + 6*t^7.36 + 15*t^7.64 + 9*t^7.91 - t^8.18 + 7*t^8.45 + 16*t^8.73 - t^4.36/y - (2*t^6.55)/y - t^6.82/y + (3*t^7.36)/y + (3*t^7.64)/y + (4*t^7.91)/y + (6*t^8.18)/y + (7*t^8.45)/y + (3*t^8.73)/y - t^4.36*y - 2*t^6.55*y - t^6.82*y + 3*t^7.36*y + 3*t^7.64*y + 4*t^7.91*y + 6*t^8.18*y + 7*t^8.45*y + 3*t^8.73*y | 3*t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^3.55 + t^4.09 + 7*t^4.36 + 2*t^4.64 + 6*t^4.91 + 3*t^5.18 + 7*t^5.45 + 5*t^5.73 - t^6. + 4*t^6.27 + 13*t^6.55 + 4*t^6.82 + 12*t^7.09 + 6*t^7.36 + 15*t^7.64 + 9*t^7.91 - t^8.18 + 7*t^8.45 + 16*t^8.73 - t^4.36/y - (2*t^6.55)/y - t^6.82/y + (3*t^7.36)/y + (3*t^7.64)/y + (4*t^7.91)/y + (6*t^8.18)/y + (7*t^8.45)/y + (3*t^8.73)/y - t^4.36*y - 2*t^6.55*y - t^6.82*y + 3*t^7.36*y + 3*t^7.64*y + 4*t^7.91*y + 6*t^8.18*y + 7*t^8.45*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 6196 | $M_1q_1q_2$ + $ 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_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_3\phi_1^2$ + $ M_3M_8$ | 0.6407 | 0.8282 | 0.7736 | [X:[], M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273, 0.9091], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]] | 3*t^2.18 + t^2.45 + 2*t^2.73 + t^3. + t^3.27 + t^3.55 + t^4.09 + 7*t^4.36 + 2*t^4.64 + 9*t^4.91 + 4*t^5.18 + 6*t^5.45 + 5*t^5.73 - t^6. - t^4.36/y - t^4.36*y | detail | {a: 3411/5324, c: 17637/21296, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, M8: 10/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, phi1: 5/11} |
| 6193 | $M_1q_1q_2$ + $ 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_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_3\phi_1^2$ + $ M_4M_8$ | 0.6125 | 0.7773 | 0.788 | [X:[], M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273, 1.2727], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]] | 2*t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^3.55 + t^3.82 + t^4.09 + 4*t^4.36 + t^4.64 + 5*t^4.91 + 2*t^5.18 + 5*t^5.45 + 4*t^5.73 + t^6. - t^4.36/y - t^4.36*y | detail | {a: 3261/5324, c: 16553/21296, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, M8: 14/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, phi1: 5/11} |
| 6197 | $M_1q_1q_2$ + $ 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_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_3\phi_1^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.6477 | 0.8409 | 0.7703 | [X:[], M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273, 0.8182], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]] | 3*t^2.18 + 2*t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^4.09 + 7*t^4.36 + 5*t^4.64 + 8*t^4.91 + 4*t^5.18 + 8*t^5.45 + 4*t^5.73 - 2*t^6. - t^4.36/y - t^4.36*y | detail | {a: 57/88, c: 37/44, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, M8: 9/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, phi1: 5/11} |
| 6195 | $M_1q_1q_2$ + $ 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_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_3\phi_1^2$ + $ M_8\phi_1^2$ | 0.6241 | 0.8002 | 0.7799 | [X:[], M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273, 1.0909], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]] | 3*t^2.18 + t^2.45 + t^3. + 3*t^3.27 + t^3.55 + t^4.09 + 7*t^4.36 + 2*t^4.64 + 3*t^4.91 + 2*t^5.18 + 9*t^5.45 + 5*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail | {a: 6645/10648, c: 17041/21296, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, M8: 12/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2587 | 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_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ | 0.6951 | 0.8732 | 0.796 | [X:[], M:[1.0, 0.7009, 0.827, 0.8739, 1.1261, 0.8739, 0.8739], q:[0.6496, 0.3504], qb:[0.5234, 0.7757], phi:[0.4252]] | t^2.1 + t^2.48 + t^2.55 + 3*t^2.62 + t^3. + t^3.9 + t^4.21 + 2*t^4.28 + t^4.42 + t^4.58 + 2*t^4.65 + 2*t^4.72 + t^4.79 + t^4.96 + t^5.03 + 4*t^5.1 + 5*t^5.17 + 5*t^5.24 + 2*t^5.55 + t^5.62 + t^5.93 - 3*t^6. - t^4.28/y - t^4.28*y | detail |