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 |
---|---|---|---|---|---|---|---|---|---|
45859 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ + $ \phi_1\tilde{q}_2^2$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.8793, 0.8793], qb:[0.3966, 0.8793], phi:[0.2414]] | [X:[[0, 4]], M:[[0, -6]], q:[[-1, 2], [1, 0]], qb:[[0, 5], [0, 1]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_1q_2$ | . | -2 | t^2.17 + t^3.1 + 2*t^3.83 + t^4.34 + t^4.55 + t^5.28 - 2*t^6. + t^6.21 + t^6.52 - 2*t^6.72 + 2*t^6.93 + t^7.45 + 3*t^7.66 - t^8.17 + t^8.69 - t^8.9 - t^8.9/y^2 - t^3.72/y - t^5.9/y + t^7.55/y - t^8.07/y + t^8.28/y - t^3.72*y - t^5.9*y + t^7.55*y - t^8.07*y + t^8.28*y - t^8.9*y^2 | t^2.17/g2^6 + g2^8*t^3.1 + g1*g2^5*t^3.83 + (g2^7*t^3.83)/g1 + t^4.34/g2^12 + g2^4*t^4.55 + g2^2*t^5.28 - 2*t^6. + g2^16*t^6.21 + t^6.52/g2^18 - (g1*t^6.72)/g2^3 - t^6.72/(g1*g2) + g1*g2^13*t^6.93 + (g2^15*t^6.93)/g1 + t^7.45/g2^4 + g1^2*g2^10*t^7.66 + g2^12*t^7.66 + (g2^14*t^7.66)/g1^2 - t^8.17/g2^6 + t^8.69/g2^24 - t^8.9/g2^8 - t^8.9/(g2^8*y^2) - t^3.72/(g2^2*y) - t^5.9/(g2^8*y) + (g2^4*t^7.55)/y - t^8.07/(g2^14*y) + (g2^2*t^8.28)/y - (t^3.72*y)/g2^2 - (t^5.9*y)/g2^8 + g2^4*t^7.55*y - (t^8.07*y)/g2^14 + g2^2*t^8.28*y - (t^8.9*y^2)/g2^8 |
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 |
---|---|---|---|---|---|---|---|---|
45904 | $\phi_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_2q_2\tilde{q}_1$ | 0.4927 | 0.5714 | 0.8624 | [X:[1.5228], M:[0.7159, 0.6962], q:[0.861, 0.9004], qb:[0.4035, 0.8807], phi:[0.2386]] | t^2.09 + t^2.15 + t^3.14 + t^3.79 + t^4.18 + t^4.24 + t^4.3 + t^4.57 + t^5.23 + t^5.28 + t^5.88 - 2*t^6. - t^3.72/y - t^5.8/y - t^5.86/y - t^3.72*y - t^5.8*y - t^5.86*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
4 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1\tilde{q}_1$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.5173], qb:[0.5173], phi:[0.2414]] | t^2.17 + t^3.1 + 2*t^3.83 + t^4.34 + t^4.55 + t^5.28 - 2*t^6. - t^3.72/y - t^5.9/y - t^3.72*y - t^5.9*y | detail |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
45837 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\tilde{q}_1\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.5833 | 0.6667 | 0.875 | [X:[1.3333], M:[1.0], q:[0.8333, 0.8333], qb:[0.5, 0.5], phi:[0.3333]] | t^3. + 8*t^4. + t^5. - 8*t^6. - t^4./y - t^4.*y | detail | {a: 7/12, c: 2/3, X1: 4/3, M1: 1, q1: 5/6, q2: 5/6, qb1: 1/2, qb2: 1/2, phi1: 1/3} |