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 |
|---|---|---|---|---|---|---|---|---|---|
| 5732 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_6^2$ + $ M_1M_8$ | 0.6246 | 0.777 | 0.8039 | [X:[1.3125], M:[1.1875, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.9375, 0.8125], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 81873/131072, c: 101841/131072, X1: 21/16, M1: 19/16, M2: 17/16, M3: 13/16, M4: 11/16, M5: 15/16, M6: 1, M7: 15/16, M8: 13/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_8$, $ \phi_1^2$, $ M_5$, $ M_7$, $ M_6$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_8$, $ M_8^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_8\phi_1^2$, $ M_3M_5$, $ M_3M_7$, $ M_5M_8$, $ M_7M_8$, $ \phi_1^4$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_6M_8$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_6\phi_1^2$, $ M_5M_6$, $ M_6M_7$ | . | -2 | 2*t^2.44 + t^2.62 + 2*t^2.81 + t^3. + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + 3*t^4.88 + 2*t^5.06 + 5*t^5.25 + 4*t^5.44 + 3*t^5.62 + t^5.81 - 2*t^6. + t^6.19 + 2*t^6.56 + 3*t^6.75 + 3*t^6.94 + 2*t^7.12 + 3*t^7.31 + 2*t^7.5 + 6*t^7.69 + 7*t^7.88 + 8*t^8.06 + 6*t^8.25 - t^8.62 - 5*t^8.81 - t^4.31/y - t^6.75/y - t^6.94/y - t^7.12/y + t^7.5/y + t^7.69/y + (2*t^7.88)/y + (2*t^8.06)/y + (4*t^8.25)/y + (4*t^8.44)/y + (2*t^8.62)/y + (2*t^8.81)/y - t^4.31*y - t^6.75*y - t^6.94*y - t^7.12*y + t^7.5*y + t^7.69*y + 2*t^7.88*y + 2*t^8.06*y + 4*t^8.25*y + 4*t^8.44*y + 2*t^8.62*y + 2*t^8.81*y | 2*t^2.44 + t^2.62 + 2*t^2.81 + t^3. + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + 3*t^4.88 + 2*t^5.06 + 5*t^5.25 + 4*t^5.44 + 3*t^5.62 + t^5.81 - 2*t^6. + t^6.19 + 2*t^6.56 + 3*t^6.75 + 3*t^6.94 + 2*t^7.12 + 3*t^7.31 + 2*t^7.5 + 6*t^7.69 + 7*t^7.88 + 8*t^8.06 + 6*t^8.25 - t^8.62 - 5*t^8.81 - t^4.31/y - t^6.75/y - t^6.94/y - t^7.12/y + t^7.5/y + t^7.69/y + (2*t^7.88)/y + (2*t^8.06)/y + (4*t^8.25)/y + (4*t^8.44)/y + (2*t^8.62)/y + (2*t^8.81)/y - t^4.31*y - t^6.75*y - t^6.94*y - t^7.12*y + t^7.5*y + t^7.69*y + 2*t^7.88*y + 2*t^8.06*y + 4*t^8.25*y + 4*t^8.44*y + 2*t^8.62*y + 2*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|---|
| 4254 | 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_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_6^2$ | 0.6089 | 0.7495 | 0.8124 | [X:[1.3125], M:[1.1875, 1.0625, 0.8125, 0.6875, 0.9375, 1.0, 0.9375], q:[0.7812, 0.2812], qb:[0.5312, 0.6562], phi:[0.4375]] | t^2.44 + t^2.62 + 2*t^2.81 + t^3. + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.88 + t^5.06 + 3*t^5.25 + 3*t^5.44 + 3*t^5.62 + t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 19953/32768, c: 24561/32768, X1: 21/16, M1: 19/16, M2: 17/16, M3: 13/16, M4: 11/16, M5: 15/16, M6: 1, M7: 15/16, q1: 25/32, q2: 9/32, qb1: 17/32, qb2: 21/32, phi1: 7/16} |