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 |
---|---|---|---|---|---|---|---|---|---|
46641 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_1q_2$ + $ M_3^2$ | 0.5768 | 0.7018 | 0.8219 | [X:[1.6], M:[1.2, 0.4, 1.0, 0.8], q:[0.3, 0.5], qb:[0.8, 0.8], phi:[0.4]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 2307/4000, c: 2807/4000, X1: 8/5, M1: 6/5, M2: 2/5, M3: 1, M4: 4/5, q1: 3/10, q2: 1/2, qb1: 4/5, qb2: 4/5, phi1: 2/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4\phi_1^2$, $ \phi_1^4$, $ X_1$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ \phi_1^2q_1\tilde{q}_2$ | $M_1M_4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$ | 0 | 2*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 2*t^3.9 + t^4.2 + 4*t^4.8 + t^5.4 + 2*t^5.7 + 4*t^6.3 + 3*t^6.6 + 7*t^7.2 + 3*t^7.8 + 4*t^8.1 - t^8.4 + 2*t^8.7 - t^4.2/y - t^6.6/y + (2*t^7.8)/y + (2*t^8.4)/y + (4*t^8.7)/y - t^4.2*y - t^6.6*y + 2*t^7.8*y + 2*t^8.4*y + 4*t^8.7*y | 2*t^2.4 + t^3. + t^3.3/g1 + g1*t^3.3 + t^3.6 + t^3.9/g1 + g1*t^3.9 + t^4.2 + 4*t^4.8 + t^5.4 + t^5.7/g1 + g1*t^5.7 + (2*t^6.3)/g1 + 2*g1*t^6.3 + t^6.6 + t^6.6/g1^2 + g1^2*t^6.6 + 5*t^7.2 + t^7.2/g1^2 + g1^2*t^7.2 + t^7.8 + t^7.8/g1^2 + g1^2*t^7.8 + (2*t^8.1)/g1 + 2*g1*t^8.1 - t^8.4 + t^8.7/g1 + g1*t^8.7 - t^4.2/y - t^6.6/y + (2*t^7.8)/y + (2*t^8.4)/y + (2*t^8.7)/(g1*y) + (2*g1*t^8.7)/y - t^4.2*y - t^6.6*y + 2*t^7.8*y + 2*t^8.4*y + (2*t^8.7*y)/g1 + 2*g1*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
46875 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_1q_2$ + $ M_3^2$ + $ M_1M_5$ | 0.5933 | 0.7308 | 0.8118 | [X:[1.6], M:[1.2, 0.4, 1.0, 0.8, 0.8], q:[0.3, 0.5], qb:[0.8, 0.8], phi:[0.4]] | 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.9 + t^4.2 + 7*t^4.8 + 2*t^5.4 + 4*t^5.7 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 2373/4000, c: 2923/4000, X1: 8/5, M1: 6/5, M2: 2/5, M3: 1, M4: 4/5, M5: 4/5, q1: 3/10, q2: 1/2, qb1: 4/5, qb2: 4/5, phi1: 2/5} |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46090 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1\phi_1^2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2X_1$ + $ M_3\phi_1q_1^2$ + $ M_4\phi_1q_1q_2$ | 0.6148 | 0.755 | 0.8143 | [X:[1.6], M:[1.2, 0.4, 0.7567, 0.8], q:[0.4216, 0.3784], qb:[0.8, 0.8], phi:[0.4]] | t^2.27 + 2*t^2.4 + t^3.47 + 2*t^3.54 + t^3.6 + 2*t^3.66 + t^4.54 + 2*t^4.67 + 4*t^4.8 + t^5.74 + 2*t^5.81 + 2*t^5.87 + 4*t^5.94 - t^6. - t^4.2/y - t^4.2*y | detail |