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 |
|---|---|---|---|---|---|---|---|---|---|
| 5870 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_7q_1\tilde{q}_2$ + $ M_2M_5$ | 0.7204 | 0.8966 | 0.8035 | [X:[], M:[0.8182, 1.0909, 1.0, 0.9091, 0.9091, 1.0909, 0.7273, 0.9091], q:[0.6818, 0.5], qb:[0.4091, 0.5909], phi:[0.4545]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 7671/10648, c: 19093/21296, M1: 9/11, M2: 12/11, M3: 1, M4: 10/11, M5: 10/11, M6: 12/11, M7: 8/11, M8: 10/11, q1: 15/22, q2: 1/2, qb1: 9/22, qb2: 13/22, phi1: 5/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_1$, $ M_4$, $ M_5$, $ M_8$, $ M_3$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_7^2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_4M_7$, $ M_5M_7$, $ M_7M_8$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_4$, $ M_1M_5$, $ M_3M_7$, $ M_1M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_3$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_2M_7$, $ M_4M_8$, $ M_5M_8$, $ M_8^2$, $ \phi_1q_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_5$, $ M_3M_8$ | $M_2M_4$, $ M_2M_8$ | 1 | t^2.18 + t^2.45 + 3*t^2.73 + t^3. + t^3.27 + t^3.82 + t^4.09 + 3*t^4.36 + 3*t^4.64 + 6*t^4.91 + 4*t^5.18 + 7*t^5.45 + t^5.73 + t^6. + 4*t^6.55 + 6*t^6.82 + 11*t^7.09 + 10*t^7.36 + 13*t^7.64 + 6*t^7.91 + 8*t^8.18 - t^8.45 + t^8.73 - t^4.36/y - t^6.55/y - t^6.82/y - (2*t^7.09)/y + (3*t^7.64)/y + (4*t^7.91)/y + (5*t^8.18)/y + (5*t^8.45)/y + (3*t^8.73)/y - t^4.36*y - t^6.55*y - t^6.82*y - 2*t^7.09*y + 3*t^7.64*y + 4*t^7.91*y + 5*t^8.18*y + 5*t^8.45*y + 3*t^8.73*y | t^2.18 + t^2.45 + 3*t^2.73 + t^3. + t^3.27 + t^3.82 + t^4.09 + 3*t^4.36 + 3*t^4.64 + 6*t^4.91 + 4*t^5.18 + 7*t^5.45 + t^5.73 + t^6. + 4*t^6.55 + 6*t^6.82 + 11*t^7.09 + 10*t^7.36 + 13*t^7.64 + 6*t^7.91 + 8*t^8.18 - t^8.45 + t^8.73 - t^4.36/y - t^6.55/y - t^6.82/y - (2*t^7.09)/y + (3*t^7.64)/y + (4*t^7.91)/y + (5*t^8.18)/y + (5*t^8.45)/y + (3*t^8.73)/y - t^4.36*y - t^6.55*y - t^6.82*y - 2*t^7.09*y + 3*t^7.64*y + 4*t^7.91*y + 5*t^8.18*y + 5*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 4387 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3^2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_7q_1\tilde{q}_2$ | 0.7259 | 0.9006 | 0.806 | [X:[], M:[0.7949, 1.1026, 1.0, 0.9616, 0.8333, 1.0384, 0.7564, 0.9616], q:[0.641, 0.5641], qb:[0.3974, 0.6026], phi:[0.4487]] | t^2.27 + t^2.38 + t^2.5 + 2*t^2.88 + t^3. + t^3.31 + t^3.73 + t^4.23 + t^4.35 + t^4.46 + t^4.54 + t^4.65 + t^4.73 + 2*t^4.77 + t^4.85 + t^4.88 + 2*t^4.96 + t^5. + t^5.08 + 2*t^5.15 + t^5.19 + 2*t^5.27 + 2*t^5.38 + t^5.58 + t^5.69 + 2*t^5.77 + t^5.81 - 2*t^6. - t^4.35/y - t^4.35*y | detail |