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 |
---|---|---|---|---|---|---|---|---|---|
9073 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ | 1.1451 | 1.3063 | 0.8766 | [X:[1.5789], M:[0.9474, 1.1579, 1.0526, 0.8421, 0.8421, 0.9474], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 125673/109744, c: 71681/54872, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 16/19, M6: 18/19, q1: 8/19, q2: 6/19, phi1: 4/19} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}q_{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }q_{1}^{2}q_{2}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }\phi_{1}^{4}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{4}$, ${ }\phi_{1}^{8}$, ${ }M_{1}q_{1}q_{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{4}$, ${ }M_{6}\phi_{1}^{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}^{3}$ | -1 | t^2.21 + 3*t^2.53 + 2*t^2.84 + t^3.79 + t^4.11 + 2*t^4.42 + 4*t^4.74 + 8*t^5.05 + 6*t^5.37 + 2*t^5.68 - t^6. + 2*t^6.32 + 6*t^6.63 + 6*t^6.95 + 11*t^7.26 + 16*t^7.58 + 13*t^7.89 + 4*t^8.21 + 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 - (3*t^6.16)/y - (2*t^6.47)/y - (3*t^7.42)/y + t^7.74/y + (4*t^8.05)/y + (4*t^8.37)/y - (7*t^8.68)/y - t^3.63*y - t^4.89*y - t^5.84*y - 3*t^6.16*y - 2*t^6.47*y - 3*t^7.42*y + t^7.74*y + 4*t^8.05*y + 4*t^8.37*y - 7*t^8.68*y + t^8.53*y^2 - t^8.84*y^2 | t^2.21 + 3*t^2.53 + 2*t^2.84 + t^3.79 + t^4.11 + 2*t^4.42 + 4*t^4.74 + 8*t^5.05 + 6*t^5.37 + 2*t^5.68 - t^6. + 2*t^6.32 + 6*t^6.63 + 6*t^6.95 + 11*t^7.26 + 16*t^7.58 + 13*t^7.89 + 4*t^8.21 + 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 - (3*t^6.16)/y - (2*t^6.47)/y - (3*t^7.42)/y + t^7.74/y + (4*t^8.05)/y + (4*t^8.37)/y - (7*t^8.68)/y - t^3.63*y - t^4.89*y - t^5.84*y - 3*t^6.16*y - 2*t^6.47*y - 3*t^7.42*y + t^7.74*y + 4*t^8.05*y + 4*t^8.37*y - 7*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 |
---|---|---|---|---|---|---|---|---|
9097 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}q_{1}q_{2}$ | 1.1256 | 1.2703 | 0.8861 | [X:[1.5789], M:[0.9474, 1.1579, 1.0526, 0.8421, 0.8421, 0.9474, 1.2632], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | 3*t^2.53 + 2*t^2.84 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + 6*t^5.05 + 6*t^5.37 + 2*t^5.68 - 2*t^6. - t^3.63/y - t^4.89/y - t^3.63*y - t^4.89*y | detail | {a: 15441/13718, c: 34853/27436, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 16/19, M6: 18/19, M7: 24/19, 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 |
---|---|---|---|---|---|---|---|---|---|
8970 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{4}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}^{2}q_{1}q_{2}$ | 1.1403 | 1.2981 | 0.8784 | [X:[1.5789], M:[0.9474, 1.1579, 1.0526, 0.8421, 0.8421], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | t^2.21 + 3*t^2.53 + t^2.84 + t^3.16 + t^3.79 + t^4.11 + 2*t^4.42 + 4*t^4.74 + 7*t^5.05 + 4*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: 7821/6859, c: 8904/6859, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 16/19, q1: 8/19, q2: 6/19, phi1: 4/19} |