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 |
|---|---|---|---|---|---|---|---|---|---|
| 5109 | 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_5q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6364 | 0.805 | 0.7906 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.9091, 0.8485, 0.8485], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 40661/63888, c: 25715/31944, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 10/11, M6: 28/33, M7: 28/33, 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_6$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_2$, $ M_3$, $ \phi_1q_2\tilde{q}_1$, $ 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_6$, $ M_4M_7$, $ M_4M_5$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_5M_6$, $ M_5M_7$, $ M_3M_4$, $ M_5^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_2M_6$, $ M_2M_7$, $ M_5\phi_1^2$, $ M_2M_5$, $ M_3M_6$, $ M_3M_7$, $ \phi_1^4$, $ M_4\phi_1q_2\tilde{q}_1$ | . | 0 | t^2.18 + 2*t^2.55 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + t^3.64 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + 2*t^4.73 + 2*t^4.91 + 4*t^5.09 + 2*t^5.27 + 3*t^5.45 + 3*t^5.64 + 4*t^5.82 + 2*t^6.18 + 3*t^6.36 + 3*t^6.55 + 2*t^6.73 + 4*t^6.91 + 3*t^7.09 + 4*t^7.27 + 3*t^7.45 + 8*t^7.64 + 4*t^7.82 + 6*t^8. + 5*t^8.18 + 6*t^8.36 + t^8.55 + 4*t^8.73 + 2*t^8.91 - t^4.45/y - (2*t^7.)/y + (2*t^7.73)/y + (3*t^7.91)/y + (2*t^8.09)/y + (3*t^8.27)/y + (3*t^8.45)/y + (3*t^8.64)/y + (4*t^8.82)/y - t^4.45*y - 2*t^7.*y + 2*t^7.73*y + 3*t^7.91*y + 2*t^8.09*y + 3*t^8.27*y + 3*t^8.45*y + 3*t^8.64*y + 4*t^8.82*y | t^2.18 + 2*t^2.55 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + t^3.64 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + 2*t^4.73 + 2*t^4.91 + 4*t^5.09 + 2*t^5.27 + 3*t^5.45 + 3*t^5.64 + 4*t^5.82 + 2*t^6.18 + 3*t^6.36 + 3*t^6.55 + 2*t^6.73 + 4*t^6.91 + 3*t^7.09 + 4*t^7.27 + 3*t^7.45 + 8*t^7.64 + 4*t^7.82 + 6*t^8. + 5*t^8.18 + 6*t^8.36 + t^8.55 + 4*t^8.73 + 2*t^8.91 - t^4.45/y - (2*t^7.)/y + (2*t^7.73)/y + (3*t^7.91)/y + (2*t^8.09)/y + (3*t^8.27)/y + (3*t^8.45)/y + (3*t^8.64)/y + (4*t^8.82)/y - t^4.45*y - 2*t^7.*y + 2*t^7.73*y + 3*t^7.91*y + 2*t^8.09*y + 3*t^8.27*y + 3*t^8.45*y + 3*t^8.64*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 6694 | $\phi_1q_1^2$ + $ 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_5q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2M_8$ | 0.6393 | 0.8097 | 0.7895 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.9091, 0.8485, 0.8485, 0.9697], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.18 + 2*t^2.55 + t^2.73 + 2*t^2.91 + t^3.27 + t^3.64 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + 2*t^4.73 + 2*t^4.91 + 5*t^5.09 + t^5.27 + 5*t^5.45 + 2*t^5.64 + 5*t^5.82 - t^6. - t^4.45/y - t^4.45*y | detail | {a: 6807/10648, c: 4311/5324, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 10/11, M6: 28/33, M7: 28/33, M8: 32/33, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 6692 | $\phi_1q_1^2$ + $ 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_5q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_5M_8$ | 0.6281 | 0.791 | 0.7941 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.9091, 0.8485, 0.8485, 1.0909], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.18 + 2*t^2.55 + t^2.91 + t^3.09 + 2*t^3.27 + t^3.64 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + 2*t^4.73 + t^4.91 + 4*t^5.09 + 3*t^5.45 + 2*t^5.64 + 5*t^5.82 - t^6. - t^4.45/y - t^4.45*y | detail | {a: 20065/31944, c: 6317/7986, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 10/11, M6: 28/33, M7: 28/33, M8: 12/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |
| 6693 | $\phi_1q_1^2$ + $ 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_5q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_1q_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1^2$ | 0.6336 | 0.8003 | 0.7917 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.9091, 0.8485, 0.8485, 1.0303], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.18 + 2*t^2.55 + t^2.73 + 2*t^3.09 + t^3.27 + t^3.64 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + 2*t^4.73 + 2*t^4.91 + 3*t^5.09 + 3*t^5.27 + t^5.45 + 4*t^5.64 + 4*t^5.82 - t^6. - t^4.45/y - t^4.45*y | detail | {a: 230/363, c: 581/726, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 10/11, M6: 28/33, M7: 28/33, M8: 34/33, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3431 | 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_5q_1\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_1q_2$ | 0.6232 | 0.7823 | 0.7966 | [X:[], M:[1.2727, 1.0303, 1.0909, 0.7273, 0.9091, 0.8485], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]] | t^2.18 + t^2.55 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + t^3.45 + t^3.64 + t^3.82 + t^4. + t^4.18 + 2*t^4.36 + t^4.73 + 2*t^4.91 + 2*t^5.09 + t^5.27 + 2*t^5.45 + 3*t^5.64 + 3*t^5.82 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 1659/2662, c: 4165/5324, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 10/11, M6: 28/33, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33} |