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 |
---|---|---|---|---|---|---|---|---|---|
45462 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }q_{2}^{4}$ + ${ }M_{2}M_{4}$ | 1.8244 | 1.9584 | 0.9316 | [X:[], M:[0.8571, 1.1429, 0.7857, 0.8571], q:[0.4286, 0.5], qb:[], phi:[0.3571]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 20025/10976, c: 21495/10976, M1: 6/7, M2: 8/7, M3: 11/14, M4: 6/7, q1: 3/7, q2: 1/2, phi1: 5/14} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{1}q_{2}$, ${ }q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}$, ${ }M_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}q_{2}^{2}$, ${ }M_{1}q_{2}^{2}$, ${ }M_{4}q_{2}^{2}$, ${ }q_{1}^{2}q_{2}^{2}$ | ${2}\phi_{1}^{3}q_{1}q_{2}$ | 1 | t^2.14 + t^2.36 + 2*t^2.57 + t^2.79 + t^3. + t^3.86 + 2*t^4.29 + t^4.5 + 4*t^4.71 + 4*t^4.93 + 6*t^5.14 + 3*t^5.36 + 3*t^5.57 + t^6. + 4*t^6.43 + 2*t^6.64 + 5*t^6.86 + 6*t^7.07 + 11*t^7.29 + 11*t^7.5 + 14*t^7.71 + 7*t^7.93 + 7*t^8.14 - t^8.36 + 4*t^8.57 + t^8.79 - t^4.07/y - t^5.36/y - t^5.57/y - (2*t^6.21)/y - t^6.43/y - (2*t^6.64)/y - t^6.86/y - t^7.07/y - (2*t^8.36)/y - (3*t^8.79)/y - t^4.07*y - t^5.36*y - t^5.57*y - 2*t^6.21*y - t^6.43*y - 2*t^6.64*y - t^6.86*y - t^7.07*y - 2*t^8.36*y - 3*t^8.79*y | t^2.14 + t^2.36 + 2*t^2.57 + t^2.79 + t^3. + t^3.86 + 2*t^4.29 + t^4.5 + 4*t^4.71 + 4*t^4.93 + 6*t^5.14 + 3*t^5.36 + 3*t^5.57 + t^6. + 4*t^6.43 + 2*t^6.64 + 5*t^6.86 + 6*t^7.07 + 11*t^7.29 + 11*t^7.5 + 14*t^7.71 + 7*t^7.93 + 7*t^8.14 - t^8.36 + 4*t^8.57 + t^8.79 - t^4.07/y - t^5.36/y - t^5.57/y - (2*t^6.21)/y - t^6.43/y - (2*t^6.64)/y - t^6.86/y - t^7.07/y - (2*t^8.36)/y - (3*t^8.79)/y - t^4.07*y - t^5.36*y - t^5.57*y - 2*t^6.21*y - t^6.43*y - 2*t^6.64*y - t^6.86*y - t^7.07*y - 2*t^8.36*y - 3*t^8.79*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 |
---|---|---|---|---|---|---|---|---|
45562 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }q_{2}^{4}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ | 1.8042 | 1.9203 | 0.9396 | [X:[], M:[0.8571, 1.1429, 0.7857, 0.8571, 1.2857], q:[0.4286, 0.5], qb:[], phi:[0.3571]] | t^2.36 + 2*t^2.57 + t^2.79 + t^3. + 2*t^3.86 + t^4.29 + 2*t^4.71 + 3*t^4.93 + 5*t^5.14 + 3*t^5.36 + 3*t^5.57 - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y | detail | {a: 2829/1568, c: 3011/1568, M1: 6/7, M2: 8/7, M3: 11/14, M4: 6/7, M5: 9/7, q1: 3/7, q2: 1/2, phi1: 5/14} |
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 |
---|---|---|---|---|---|---|---|---|---|
45356 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}^{2}q_{2}$ + ${ }q_{2}^{4}$ | 1.8119 | 1.9369 | 0.9355 | [X:[], M:[0.8571, 1.1429, 0.7857], q:[0.4286, 0.5], qb:[], phi:[0.3571]] | t^2.14 + t^2.36 + t^2.57 + t^2.79 + t^3. + t^3.43 + t^3.86 + 2*t^4.29 + t^4.5 + 3*t^4.71 + 3*t^4.93 + 4*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 + 2*t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y | detail | {a: 2841/1568, c: 3037/1568, M1: 6/7, M2: 8/7, M3: 11/14, q1: 3/7, q2: 1/2, phi1: 5/14} |