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 |
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1220 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4X_1$ | 0.5598 | 0.6914 | 0.8097 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | [X:[[0]], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3840/6859, c: 9485/13718, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, phi1: 8/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ \phi_1^2$, $ M_2$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3$, $ q_1\tilde{q}_1$, $ X_1$, $ M_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ q_1q_2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_1q_1\tilde{q}_2$, $ M_2^2$, $ M_5\phi_1^2$ | $M_2q_1\tilde{q}_2$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 2 | t^2.21 + t^2.53 + t^2.84 + 2*t^3.16 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + 2*t^4.74 + 2*t^5.05 + 2*t^5.37 + 2*t^5.68 + 2*t^6. + 4*t^6.32 + 2*t^6.63 + 3*t^6.95 + 3*t^7.26 + 4*t^7.58 + 3*t^7.89 + 2*t^8.21 + 2*t^8.53 + t^8.84 - t^4.26/y - t^6.79/y + (2*t^7.74)/y + t^8.05/y + (3*t^8.37)/y + (3*t^8.68)/y - t^4.26*y - t^6.79*y + 2*t^7.74*y + t^8.05*y + 3*t^8.37*y + 3*t^8.68*y | t^2.21 + t^2.53 + t^2.84 + 2*t^3.16 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + 2*t^4.74 + 2*t^5.05 + 2*t^5.37 + 2*t^5.68 + 2*t^6. + 4*t^6.32 + 2*t^6.63 + 3*t^6.95 + 3*t^7.26 + 4*t^7.58 + 3*t^7.89 + 2*t^8.21 + 2*t^8.53 + t^8.84 - t^4.26/y - t^6.79/y + (2*t^7.74)/y + t^8.05/y + (3*t^8.37)/y + (3*t^8.68)/y - t^4.26*y - t^6.79*y + 2*t^7.74*y + t^8.05*y + 3*t^8.37*y + 3*t^8.68*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 |
---|---|---|---|---|---|---|---|---|
2249 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_2M_6$ | 0.555 | 0.6832 | 0.8122 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526, 1.0526], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | t^2.21 + t^2.53 + 3*t^3.16 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + 2*t^4.74 + t^5.05 + 2*t^5.37 + 2*t^5.68 - t^4.26/y - t^4.26*y | detail | {a: 60903/109744, c: 37491/54872, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, M6: 20/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, phi1: 8/19} |
2252 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_3M_6$ | 0.5794 | 0.7274 | 0.7965 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526, 0.7368], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | 2*t^2.21 + t^2.53 + t^2.84 + 2*t^3.16 + t^3.47 + t^3.79 + t^4.11 + 3*t^4.42 + 3*t^4.74 + 3*t^5.05 + 4*t^5.37 + 3*t^5.68 + 2*t^6. - t^4.26/y - t^4.26*y | detail | {a: 63585/109744, c: 39915/54872, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, M6: 14/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, phi1: 8/19} |
2250 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_5M_6$ | 0.5647 | 0.6996 | 0.8072 | [X:[1.3684], M:[0.7368, 0.9474, 1.2632, 0.6316, 1.0526, 0.9474], q:[0.7895, 0.7895], qb:[0.4737, 0.2632], phi:[0.4211]] | t^2.21 + t^2.53 + 2*t^2.84 + t^3.16 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + 2*t^4.74 + 3*t^5.05 + 2*t^5.37 + 3*t^5.68 + 2*t^6. - t^4.26/y - t^4.26*y | detail | {a: 61977/109744, c: 38389/54872, X1: 26/19, M1: 14/19, M2: 18/19, M3: 24/19, M4: 12/19, M5: 20/19, M6: 18/19, q1: 15/19, q2: 15/19, qb1: 9/19, qb2: 5/19, phi1: 8/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
743 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6499 | 0.8145 | 0.7979 | [X:[], M:[0.8171, 0.7602, 1.1829, 0.8455, 0.7318], q:[0.8028, 0.8028], qb:[0.3801, 0.437], phi:[0.3943]] | t^2.2 + t^2.28 + t^2.37 + t^2.45 + t^2.54 + 2*t^3.55 + t^3.63 + t^3.72 + t^4.39 + t^4.48 + 2*t^4.56 + 2*t^4.65 + 3*t^4.73 + 3*t^4.82 + 2*t^4.9 + t^4.99 + t^5.07 + 2*t^5.74 + 2*t^5.83 + 2*t^5.91 + t^6. - t^4.18/y - t^4.18*y | detail |