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 |
---|---|---|---|---|---|---|---|---|---|
45881 | SU2adj1nf2 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6434 | 0.8105 | 0.7939 | [M:[0.8275], q:[0.4225, 0.75], qb:[0.4225, 0.4051], phi:[0.5]] | [M:[[1]], q:[[-1], [0]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}$ | -1 | 3*t^2.483 + t^2.535 + t^3. + t^3.465 + t^3.517 + t^3.931 + 2*t^3.983 + 3*t^4.035 + 6*t^4.965 + 3*t^5.017 + t^5.069 + 3*t^5.483 + t^5.535 + t^5.948 - t^6. - t^6.052 + 3*t^6.413 + 6*t^6.465 + 8*t^6.517 + 3*t^6.569 + t^6.931 - t^6.983 + t^7.396 + 9*t^7.448 + 3*t^7.5 + 2*t^7.552 + t^7.604 + t^7.861 + 2*t^7.913 + 8*t^7.965 + 5*t^8.017 + 6*t^8.069 - 8*t^8.483 - 7*t^8.535 - t^8.587 + 6*t^8.896 + 10*t^8.948 - t^4.5/y - t^6.983/y + (3*t^7.965)/y + (4*t^8.017)/y + (3*t^8.483)/y + t^8.535/y + (3*t^8.948)/y - t^4.5*y - t^6.983*y + 3*t^7.965*y + 4*t^8.017*y + 3*t^8.483*y + t^8.535*y + 3*t^8.948*y | 3*g1*t^2.483 + t^2.535/g1^2 + t^3. + g1^2*t^3.465 + t^3.517/g1 + g1^4*t^3.931 + 2*g1*t^3.983 + (3*t^4.035)/g1^2 + 6*g1^2*t^4.965 + (3*t^5.017)/g1 + t^5.069/g1^4 + 3*g1*t^5.483 + t^5.535/g1^2 + g1^3*t^5.948 - t^6. - t^6.052/g1^3 + 3*g1^5*t^6.413 + 6*g1^2*t^6.465 + (8*t^6.517)/g1 + (3*t^6.569)/g1^4 + g1^4*t^6.931 - g1*t^6.983 + g1^6*t^7.396 + 9*g1^3*t^7.448 + 3*t^7.5 + (2*t^7.552)/g1^3 + t^7.604/g1^6 + g1^8*t^7.861 + 2*g1^5*t^7.913 + 8*g1^2*t^7.965 + (5*t^8.017)/g1 + (6*t^8.069)/g1^4 - 8*g1*t^8.483 - (7*t^8.535)/g1^2 - t^8.587/g1^5 + 6*g1^6*t^8.896 + 10*g1^3*t^8.948 - t^4.5/y - (g1*t^6.983)/y + (3*g1^2*t^7.965)/y + (4*t^8.017)/(g1*y) + (3*g1*t^8.483)/y + t^8.535/(g1^2*y) + (3*g1^3*t^8.948)/y - t^4.5*y - g1*t^6.983*y + 3*g1^2*t^7.965*y + (4*t^8.017*y)/g1 + 3*g1*t^8.483*y + (t^8.535*y)/g1^2 + 3*g1^3*t^8.948*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 |
---|---|---|---|---|---|---|---|---|
45943 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 0.6577 | 0.8352 | 0.7876 | [M:[0.8387, 0.8227], q:[0.4113, 0.75], qb:[0.4113, 0.4273], phi:[0.5]] | 2*t^2.468 + 3*t^2.516 + t^3. + t^3.484 + 3*t^3.968 + 2*t^4.016 + t^4.064 + 3*t^4.936 + 6*t^4.984 + 6*t^5.032 + 2*t^5.468 + 3*t^5.516 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
46008 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6432 | 0.8099 | 0.7942 | [M:[0.8333], q:[0.4167, 0.75], qb:[0.4167, 0.4167], phi:[0.5]] | 4*t^2.5 + t^3. + 2*t^3.5 + 6*t^4. + 10*t^5. + 4*t^5.5 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 247/384, c: 311/384, M1: 5/6, q1: 5/12, q2: 3/4, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
45996 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 0.605 | 0.7769 | 0.7788 | [M:[0.75], q:[0.5, 0.75], qb:[0.5, 0.25], phi:[0.5]] | 3*t^2.25 + 4*t^3. + 3*t^3.75 + 9*t^4.5 + 10*t^5.25 + 10*t^6. - t^4.5/y - t^4.5*y | detail | {a: 1239/2048, c: 1591/2048, M1: 3/4, q1: 1/2, q2: 3/4, qb1: 1/2, qb2: 1/4, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
45839 | SU2adj1nf2 | ${}\phi_{1}^{4}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.6927 | 0.8507 | 0.8143 | [M:[0.9724], q:[0.4996, 0.528], qb:[0.4996, 0.4728], phi:[0.5]] | 3*t^2.917 + t^2.998 + t^3. + t^3.002 + t^3.083 + t^4.337 + 2*t^4.417 + 3*t^4.498 + t^4.502 + 2*t^4.583 + t^4.668 + 5*t^5.834 + t^5.915 + 3*t^5.917 + t^5.919 + t^5.995 + t^5.998 - 2*t^6. - t^4.5/y - t^4.5*y | detail |