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 |
|---|---|---|---|---|---|---|---|---|---|
| 3856 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_6$ | 0.5755 | 0.7304 | 0.7879 | [X:[1.5652], M:[0.6957, 1.0435, 1.3043, 0.4348, 0.6957, 0.9565], q:[0.3913, 0.913], qb:[0.3043, 0.6522], phi:[0.4348]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 112041/194672, c: 71097/97336, X1: 36/23, M1: 16/23, M2: 24/23, M3: 30/23, M4: 10/23, M5: 16/23, M6: 22/23, q1: 9/23, q2: 21/23, qb1: 7/23, qb2: 15/23, phi1: 10/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ \phi_1^2$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ X_1$, $ M_1M_6$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6\phi_1^2$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_2\phi_1^2$, $ M_5\phi_1q_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$ | $\phi_1^3q_1\tilde{q}_1$ | 0 | 2*t^2.09 + t^2.61 + t^2.87 + 2*t^3.13 + t^3.39 + 2*t^3.65 + 3*t^4.17 + 3*t^4.7 + 2*t^4.96 + 5*t^5.22 + 2*t^5.48 + 5*t^5.74 + 7*t^6.26 + t^6.52 + 6*t^6.78 + t^7.04 + 9*t^7.3 + t^7.57 + 8*t^7.83 - t^8.09 + 11*t^8.35 - t^8.61 + 8*t^8.87 - t^4.3/y - t^6.39/y - t^6.91/y + t^7.17/y + (3*t^7.7)/y + (2*t^7.96)/y + (5*t^8.22)/y + (2*t^8.48)/y + (6*t^8.74)/y - t^4.3*y - t^6.39*y - t^6.91*y + t^7.17*y + 3*t^7.7*y + 2*t^7.96*y + 5*t^8.22*y + 2*t^8.48*y + 6*t^8.74*y | 2*t^2.09 + t^2.61 + t^2.87 + 2*t^3.13 + t^3.39 + 2*t^3.65 + 3*t^4.17 + 3*t^4.7 + 2*t^4.96 + 5*t^5.22 + 2*t^5.48 + 5*t^5.74 + 7*t^6.26 + t^6.52 + 6*t^6.78 + t^7.04 + 9*t^7.3 + t^7.57 + 8*t^7.83 - t^8.09 + 11*t^8.35 - t^8.61 + 8*t^8.87 - t^4.3/y - t^6.39/y - t^6.91/y + t^7.17/y + (3*t^7.7)/y + (2*t^7.96)/y + (5*t^8.22)/y + (2*t^8.48)/y + (6*t^8.74)/y - t^4.3*y - t^6.39*y - t^6.91*y + t^7.17*y + 3*t^7.7*y + 2*t^7.96*y + 5*t^8.22*y + 2*t^8.48*y + 6*t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 5464 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_6M_7$ | 0.5715 | 0.7237 | 0.7897 | [X:[1.5652], M:[0.6957, 1.0435, 1.3043, 0.4348, 0.6957, 0.9565, 1.0435], q:[0.3913, 0.913], qb:[0.3043, 0.6522], phi:[0.4348]] | 2*t^2.09 + t^2.61 + 3*t^3.13 + t^3.39 + 2*t^3.65 + 3*t^4.17 + 3*t^4.7 + 7*t^5.22 + t^5.48 + 5*t^5.74 - 2*t^6. - t^4.3/y - t^4.3*y | detail | {a: 27813/48668, c: 35219/48668, X1: 36/23, M1: 16/23, M2: 24/23, M3: 30/23, M4: 10/23, M5: 16/23, M6: 22/23, M7: 24/23, q1: 9/23, q2: 21/23, qb1: 7/23, qb2: 15/23, phi1: 10/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3381 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6543 | 0.8201 | 0.7978 | [X:[1.615], M:[0.8451, 0.6947, 1.1549, 0.385, 0.8451, 0.7323], q:[0.4038, 0.7511], qb:[0.4414, 0.8639], phi:[0.385]] | t^2.08 + t^2.2 + t^2.31 + 2*t^2.54 + 2*t^3.58 + t^3.69 + t^3.8 + t^4.17 + t^4.28 + 2*t^4.39 + t^4.51 + 3*t^4.62 + 2*t^4.73 + 3*t^4.85 + 3*t^5.07 + 2*t^5.66 + 2*t^5.77 + 2*t^5.89 - t^6. - t^4.15/y - t^4.15*y | detail |