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 |
---|---|---|---|---|---|---|---|---|---|
1923 | 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_1^2$ + $ M_2M_3$ + $ \phi_1^2q_2\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.5625 | 0.6964 | 0.8077 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286], q:[0.2857, 0.7143], qb:[0.4286, 0.8571], phi:[0.4286]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 9/16, c: 39/56, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, q1: 2/7, q2: 5/7, qb1: 3/7, qb2: 6/7, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ \phi_1q_1q_2$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_1M_2$, $ \phi_1^4$, $ M_2\phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1\phi_1^2$, $ \phi_1^3q_1^2$, $ \phi_1q_2^2$ | $\phi_1^2q_1^4$, $ \phi_1^3q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$ | 3 | t^2.14 + t^2.57 + 2*t^3. + 3*t^3.43 + 2*t^3.86 + t^4.29 + 2*t^4.71 + 3*t^5.14 + 3*t^5.57 + 3*t^6. + 5*t^6.43 + 5*t^6.86 + 4*t^7.29 + 5*t^7.71 + 2*t^8.14 + 3*t^8.57 - t^4.29/y - t^6.86/y + (2*t^7.71)/y + (2*t^8.14)/y + (5*t^8.57)/y - t^4.29*y - t^6.86*y + 2*t^7.71*y + 2*t^8.14*y + 5*t^8.57*y | t^2.14 + t^2.57 + 2*t^3. + 3*t^3.43 + 2*t^3.86 + t^4.29 + 2*t^4.71 + 3*t^5.14 + 3*t^5.57 + 3*t^6. + 5*t^6.43 + 5*t^6.86 + 4*t^7.29 + 5*t^7.71 + 2*t^8.14 + 3*t^8.57 - t^4.29/y - t^6.86/y + (2*t^7.71)/y + (2*t^8.14)/y + (5*t^8.57)/y - t^4.29*y - t^6.86*y + 2*t^7.71*y + 2*t^8.14*y + 5*t^8.57*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 |
---|---|---|---|---|---|---|---|---|---|
576 | 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_1^2$ + $ M_2M_3$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.9336, 1.0664, 0.8673], q:[0.4502, 0.5498], qb:[0.4834, 0.583], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + 2*t^3.1 + t^3.2 + t^4.15 + t^4.25 + t^4.35 + t^4.45 + 2*t^4.55 + t^4.65 + t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 - t^4.45/y - t^4.45*y | detail |