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 |
---|---|---|---|---|---|---|---|---|---|
8811 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1q_1q_2$ + $ M_1M_3$ | 1.1129 | 1.251 | 0.8896 | [X:[1.5789], M:[0.9474, 1.1579, 1.0526], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | [X:[[0]], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 61065/54872, c: 34323/27436, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, q1: 8/19, q2: 6/19, phi1: 4/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_1q_2$, $ \phi_1^4$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ q_1^2q_2^2$, $ \phi_1^4q_1q_2$, $ X_1$, $ \phi_1^8$, $ M_1q_1q_2$, $ M_1\phi_1^4$, $ M_3q_1q_2$, $ M_1^2$, $ M_3\phi_1^4$, $ M_2q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $\phi_1^6q_1q_2$, $ \phi_1^3q_1q_2^3$ | 2 | t^2.21 + t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + 2*t^4.74 + 2*t^5.05 + 2*t^5.37 + 3*t^5.68 + 2*t^6. + 3*t^6.32 + 5*t^6.63 + 5*t^6.95 + 5*t^7.26 + 5*t^7.58 + 6*t^7.89 + 4*t^8.21 + 6*t^8.53 + 4*t^8.84 + t^8.53/y^2 - t^8.84/y^2 - t^3.63/y - t^4.89/y - t^5.84/y - t^6.16/y - t^6.47/y - t^6.79/y - (2*t^7.11)/y - t^7.42/y - t^8.05/y + t^8.68/y - t^3.63*y - t^4.89*y - t^5.84*y - t^6.16*y - t^6.47*y - t^6.79*y - 2*t^7.11*y - t^7.42*y - t^8.05*y + t^8.68*y + t^8.53*y^2 - t^8.84*y^2 | t^2.21 + t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + 2*t^4.74 + 2*t^5.05 + 2*t^5.37 + 3*t^5.68 + 2*t^6. + 3*t^6.32 + 5*t^6.63 + 5*t^6.95 + 5*t^7.26 + 5*t^7.58 + 6*t^7.89 + 4*t^8.21 + 6*t^8.53 + 4*t^8.84 + t^8.53/y^2 - t^8.84/y^2 - t^3.63/y - t^4.89/y - t^5.84/y - t^6.16/y - t^6.47/y - t^6.79/y - (2*t^7.11)/y - t^7.42/y - t^8.05/y + t^8.68/y - t^3.63*y - t^4.89*y - t^5.84*y - t^6.16*y - t^6.47*y - t^6.79*y - 2*t^7.11*y - t^7.42*y - t^8.05*y + t^8.68*y + t^8.53*y^2 - t^8.84*y^2 |
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 |
---|---|---|---|---|---|---|---|---|
8908 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1q_1q_2$ + $ M_1M_3$ + $ M_2M_4$ | 1.1266 | 1.2746 | 0.8839 | [X:[1.5789], M:[0.9474, 1.1579, 1.0526, 0.8421], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | t^2.21 + 2*t^2.53 + t^2.84 + t^3.16 + t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + 3*t^4.74 + 4*t^5.05 + 3*t^5.37 + 3*t^5.68 + 2*t^6. - t^3.63/y - t^4.89/y - t^5.84/y - t^3.63*y - t^4.89*y - t^5.84*y | detail | {a: 6507/5776, c: 3681/2888, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, q1: 8/19, q2: 6/19, phi1: 4/19} |
8910 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1q_1q_2$ + $ M_1M_3$ + $ M_4\phi_1^4$ | 1.0992 | 1.2275 | 0.8955 | [X:[1.5789], M:[0.9474, 1.1579, 1.0526, 1.1579], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | t^2.21 + t^2.84 + t^3.16 + 3*t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + t^4.74 + t^5.05 + t^5.37 + 3*t^5.68 - t^3.63/y - t^4.89/y - t^5.84/y - t^3.63*y - t^4.89*y - t^5.84*y | detail | {a: 120627/109744, c: 67353/54872, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, M4: 22/19, q1: 8/19, q2: 6/19, phi1: 4/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
8635 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1q_1q_2$ | 1.1165 | 1.2544 | 0.8901 | [X:[1.5896], M:[0.8725, 1.1793, 1.0259], q:[0.4612, 0.3078], qb:[], phi:[0.2052]] | t^2.31 + t^2.46 + t^2.62 + t^3.08 + 2*t^3.54 + t^3.69 + t^4.15 + 2*t^4.61 + 2*t^4.77 + 2*t^4.92 + t^5.08 + t^5.24 + t^5.38 + t^5.7 + 2*t^5.84 + t^6. - t^3.62/y - t^4.85/y - t^5.92/y - t^3.62*y - t^4.85*y - t^5.92*y | detail |