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 |
|---|---|---|---|---|---|---|---|---|---|
| 3836 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6214 | 0.7817 | 0.7949 | [X:[1.3913], M:[0.6087, 1.1304, 0.7826, 1.0435, 0.9565, 0.6957], q:[0.7826, 0.6087], qb:[0.6087, 0.2609], phi:[0.4348]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 120963/194672, c: 76087/97336, X1: 32/23, M1: 14/23, M2: 26/23, M3: 18/23, M4: 24/23, M5: 22/23, M6: 16/23, q1: 18/23, q2: 14/23, qb1: 14/23, qb2: 6/23, phi1: 10/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_3$, $ \phi_1^2$, $ q_2\tilde{q}_2$, $ M_5$, $ M_4$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ M_6^2$, $ q_1\tilde{q}_1$, $ X_1$, $ M_3M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_6\phi_1^2$, $ M_6q_2\tilde{q}_2$, $ M_5M_6$, $ M_3\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_3M_5$, $ M_4M_6$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_4$, $ M_2M_6$, $ M_5\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_2M_3$, $ M_5^2$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_2$ | . | -1 | t^2.09 + t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.91 + 3*t^4.17 + t^4.43 + 3*t^4.7 + 4*t^4.96 + 5*t^5.22 + 4*t^5.48 + 3*t^5.74 - t^6. + 3*t^6.26 + 3*t^6.52 + 6*t^6.78 + 4*t^7.04 + 5*t^7.3 + 9*t^7.57 + 8*t^7.83 + 4*t^8.09 + 6*t^8.35 - 2*t^8.61 + 2*t^8.87 - t^4.3/y - t^6.39/y - t^6.65/y + t^7.43/y + (2*t^7.7)/y + (4*t^7.96)/y + (4*t^8.22)/y + (3*t^8.48)/y + (2*t^8.74)/y - t^4.3*y - t^6.39*y - t^6.65*y + t^7.43*y + 2*t^7.7*y + 4*t^7.96*y + 4*t^8.22*y + 3*t^8.48*y + 2*t^8.74*y | t^2.09 + t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.39 + t^3.91 + 3*t^4.17 + t^4.43 + 3*t^4.7 + 4*t^4.96 + 5*t^5.22 + 4*t^5.48 + 3*t^5.74 - t^6. + 3*t^6.26 + 3*t^6.52 + 6*t^6.78 + 4*t^7.04 + 5*t^7.3 + 9*t^7.57 + 8*t^7.83 + 4*t^8.09 + 6*t^8.35 - 2*t^8.61 + 2*t^8.87 - t^4.3/y - t^6.39/y - t^6.65/y + t^7.43/y + (2*t^7.7)/y + (4*t^7.96)/y + (4*t^8.22)/y + (3*t^8.48)/y + (2*t^8.74)/y - t^4.3*y - t^6.39*y - t^6.65*y + t^7.43*y + 2*t^7.7*y + 4*t^7.96*y + 4*t^8.22*y + 3*t^8.48*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 5446 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_4M_7$ | 0.6254 | 0.7885 | 0.7932 | [X:[1.3913], M:[0.6087, 1.1304, 0.7826, 1.0435, 0.9565, 0.6957, 0.9565], q:[0.7826, 0.6087], qb:[0.6087, 0.2609], phi:[0.4348]] | t^2.09 + t^2.35 + 2*t^2.61 + 2*t^2.87 + t^3.39 + t^3.91 + 3*t^4.17 + t^4.43 + 3*t^4.7 + 5*t^4.96 + 5*t^5.22 + 5*t^5.48 + 3*t^5.74 - 2*t^6. - t^4.3/y - t^4.3*y | detail | {a: 15219/24334, c: 38373/48668, X1: 32/23, M1: 14/23, M2: 26/23, M3: 18/23, M4: 24/23, M5: 22/23, M6: 16/23, M7: 22/23, q1: 18/23, q2: 14/23, qb1: 14/23, qb2: 6/23, phi1: 10/23} |
| 5447 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7\phi_1q_2\tilde{q}_2$ | 0.642 | 0.8213 | 0.7816 | [X:[1.3913], M:[0.6087, 1.1304, 0.7826, 1.0435, 0.9565, 0.6957, 0.6957], q:[0.7826, 0.6087], qb:[0.6087, 0.2609], phi:[0.4348]] | 2*t^2.09 + t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.39 + 5*t^4.17 + 2*t^4.43 + 5*t^4.7 + 5*t^4.96 + 6*t^5.22 + 5*t^5.48 + 3*t^5.74 - 2*t^6. - t^4.3/y - t^4.3*y | detail | {a: 62487/97336, c: 9993/12167, X1: 32/23, M1: 14/23, M2: 26/23, M3: 18/23, M4: 24/23, M5: 22/23, M6: 16/23, M7: 16/23, q1: 18/23, q2: 14/23, qb1: 14/23, qb2: 6/23, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3363 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6219 | 0.784 | 0.7932 | [X:[1.3657], M:[0.6343, 1.1219, 0.7968, 1.0406, 0.9594, 0.6828], q:[0.7805, 0.5852], qb:[0.618, 0.2602], phi:[0.4391]] | t^2.05 + t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.85 + 2*t^4.1 + t^4.2 + t^4.44 + t^4.58 + t^4.68 + t^4.78 + t^4.83 + 2*t^4.93 + t^5.02 + t^5.07 + 2*t^5.17 + 2*t^5.27 + 2*t^5.41 + 2*t^5.51 + t^5.66 + 2*t^5.76 + t^5.9 - t^6. - t^4.32/y - t^4.32*y | detail |