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 |
|---|---|---|---|---|---|---|---|---|---|
| 3662 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_2^2$ + $ M_4M_5$ | 0.5864 | 0.7467 | 0.7853 | [X:[], M:[0.9565, 1.1304, 0.9565, 0.8696, 1.1304], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 114159/194672, c: 72685/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 26/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_1$, $ M_3$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$ | $\phi_1q_2\tilde{q}_1^3$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.09 + t^2.35 + 2*t^2.87 + 3*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + t^4.7 + 2*t^4.96 + 2*t^5.22 + 2*t^5.48 + 5*t^5.74 + 5*t^6.26 + 3*t^6.52 + 7*t^6.78 + 6*t^7.04 + 6*t^7.3 + 5*t^7.57 + 6*t^7.83 + 4*t^8.09 + 3*t^8.35 + 5*t^8.61 - t^4.57/y + t^7.17/y + t^7.7/y + t^7.96/y + (2*t^8.22)/y + (3*t^8.48)/y + (6*t^8.74)/y - t^4.57*y + t^7.17*y + t^7.7*y + t^7.96*y + 2*t^8.22*y + 3*t^8.48*y + 6*t^8.74*y | t^2.09 + t^2.35 + 2*t^2.87 + 3*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + t^4.7 + 2*t^4.96 + 2*t^5.22 + 2*t^5.48 + 5*t^5.74 + 5*t^6.26 + 3*t^6.52 + 7*t^6.78 + 6*t^7.04 + 6*t^7.3 + 5*t^7.57 + 6*t^7.83 + 4*t^8.09 + 3*t^8.35 + 5*t^8.61 - t^4.57/y + t^7.17/y + t^7.7/y + t^7.96/y + (2*t^8.22)/y + (3*t^8.48)/y + (6*t^8.74)/y - t^4.57*y + t^7.17*y + t^7.7*y + t^7.96*y + 2*t^8.22*y + 3*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3242 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_4q_1\tilde{q}_1$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_2^2$ | 0.598 | 0.7665 | 0.7802 | [X:[], M:[0.9565, 1.1304, 0.9565, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | t^2.09 + t^2.35 + t^2.61 + 2*t^2.87 + 2*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + 2*t^4.7 + 3*t^4.96 + 3*t^5.22 + 3*t^5.48 + 4*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 58209/97336, c: 9326/12167, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |