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 |
---|---|---|---|---|---|---|---|---|---|
45366 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{2}^{4}$ | 1.8071 | 1.9276 | 0.9375 | [X:[], M:[0.8571, 1.1429, 0.8571], q:[0.4286, 0.5], qb:[], phi:[0.3571]] | [X:[], M:[[0], [0], [0]], q:[[0], [0]], qb:[], phi:[[0]]] | 0 | {a: 158679/87808, c: 169263/87808, M1: 6/7, M2: 8/7, M3: 6/7, q1: 3/7, q2: 1/2, phi1: 5/14} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}q_{2}$, ${ }q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}$, ${ }M_{1}q_{1}q_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{1}q_{2}^{2}$, ${ }M_{3}q_{2}^{2}$, ${ }q_{1}^{2}q_{2}^{2}$, ${ }\phi_{1}^{4}q_{2}$ | ${2}\phi_{1}^{3}q_{1}q_{2}$ | 1 | t^2.14 + 2*t^2.57 + t^2.79 + t^3. + t^3.64 + t^3.86 + 2*t^4.29 + 3*t^4.71 + 2*t^4.93 + 5*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 + t^6. + t^6.21 + 5*t^6.43 + t^6.64 + 4*t^6.86 + 2*t^7.07 + 8*t^7.29 + 6*t^7.5 + 11*t^7.71 + 6*t^7.93 + 7*t^8.14 + t^8.36 + 6*t^8.57 + 2*t^8.79 - t^4.07/y - t^5.36/y - t^5.57/y - (2*t^6.21)/y - (2*t^6.64)/y - t^6.86/y - t^7.07/y - t^7.5/y - t^7.93/y - t^8.14/y - (3*t^8.36)/y + (2*t^8.57)/y - t^8.79/y - t^4.07*y - t^5.36*y - t^5.57*y - 2*t^6.21*y - 2*t^6.64*y - t^6.86*y - t^7.07*y - t^7.5*y - t^7.93*y - t^8.14*y - 3*t^8.36*y + 2*t^8.57*y - t^8.79*y | t^2.14 + 2*t^2.57 + t^2.79 + t^3. + t^3.64 + t^3.86 + 2*t^4.29 + 3*t^4.71 + 2*t^4.93 + 5*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 + t^6. + t^6.21 + 5*t^6.43 + t^6.64 + 4*t^6.86 + 2*t^7.07 + 8*t^7.29 + 6*t^7.5 + 11*t^7.71 + 6*t^7.93 + 7*t^8.14 + t^8.36 + 6*t^8.57 + 2*t^8.79 - t^4.07/y - t^5.36/y - t^5.57/y - (2*t^6.21)/y - (2*t^6.64)/y - t^6.86/y - t^7.07/y - t^7.5/y - t^7.93/y - t^8.14/y - (3*t^8.36)/y + (2*t^8.57)/y - t^8.79/y - t^4.07*y - t^5.36*y - t^5.57*y - 2*t^6.21*y - 2*t^6.64*y - t^6.86*y - t^7.07*y - t^7.5*y - t^7.93*y - t^8.14*y - 3*t^8.36*y + 2*t^8.57*y - 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 |
---|---|---|---|---|---|---|---|---|
45487 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }q_{2}^{4}$ + ${ }M_{4}q_{1}q_{2}$ | 1.8005 | 1.9166 | 0.9394 | [X:[], M:[0.8571, 1.1429, 0.8571, 1.0714], q:[0.4286, 0.5], qb:[], phi:[0.3571]] | t^2.14 + 2*t^2.57 + t^3. + t^3.21 + t^3.64 + t^3.86 + 2*t^4.29 + 3*t^4.71 + t^4.93 + 5*t^5.14 + t^5.36 + 2*t^5.57 + 2*t^5.79 + 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: 39525/21952, c: 42073/21952, M1: 6/7, M2: 8/7, M3: 6/7, M4: 15/14, 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 |
---|---|---|---|---|---|---|---|---|---|
45238 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ | 1.8133 | 1.9411 | 0.9342 | [X:[], M:[0.8329, 1.1671, 0.8329], q:[0.4164, 0.4575], qb:[], phi:[0.3753]] | t^2.25 + 2*t^2.5 + t^2.62 + t^2.75 + t^3.62 + t^3.75 + 2*t^4.5 + 3*t^4.75 + 2*t^4.87 + 5*t^5. + 2*t^5.12 + 3*t^5.24 + t^5.37 + t^5.49 - t^4.13/y - t^5.38/y - t^5.5/y - t^4.13*y - t^5.38*y - t^5.5*y | detail |