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 |
---|---|---|---|---|---|---|---|---|---|
46300 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4644 | 0.5384 | 0.8625 | [X:[1.4565], M:[0.913, 1.087, 0.7175], q:[0.4076, 0.6794], qb:[0.5054, 1.3206], phi:[0.2718]] | [X:[[4]], M:[[8], [-8], [-20]], q:[[-3], [-5]], qb:[[11], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.153 + t^2.739 + t^3.261 + t^3.554 + t^4.305 + t^4.369 + t^4.892 + t^5.414 + t^5.478 - t^6. + t^6.458 + t^6.522 + t^7.044 + t^7.566 + t^7.631 - t^8.153 + t^8.611 + t^8.675 - t^8.739 - 2*t^8.968 - t^8.968/y^2 - t^3.815/y - t^5.968/y + t^7.663/y + t^7.892/y - t^8.121/y + t^8.414/y + t^8.707/y - t^3.815*y - t^5.968*y + t^7.663*y + t^7.892*y - t^8.121*y + t^8.414*y + t^8.707*y - t^8.968*y^2 | t^2.153/g1^20 + g1^8*t^2.739 + t^3.261/g1^8 + g1^6*t^3.554 + t^4.305/g1^40 + g1^4*t^4.369 + t^4.892/g1^12 + t^5.414/g1^28 + g1^16*t^5.478 - t^6. + t^6.458/g1^60 + t^6.522/g1^16 + t^7.044/g1^32 + t^7.566/g1^48 + t^7.631/g1^4 - t^8.153/g1^20 + t^8.611/g1^80 + t^8.675/g1^36 - g1^8*t^8.739 - (2*t^8.968)/g1^22 - t^8.968/(g1^22*y^2) - t^3.815/(g1^2*y) - t^5.968/(g1^22*y) + (g1^18*t^7.663)/y + t^7.892/(g1^12*y) - t^8.121/(g1^42*y) + t^8.414/(g1^28*y) + t^8.707/(g1^14*y) - (t^3.815*y)/g1^2 - (t^5.968*y)/g1^22 + g1^18*t^7.663*y + (t^7.892*y)/g1^12 - (t^8.121*y)/g1^42 + (t^8.414*y)/g1^28 + (t^8.707*y)/g1^14 - (t^8.968*y^2)/g1^22 |
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 |
---|---|---|---|---|---|---|---|---|
46373 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}^{2}$ | 0.4274 | 0.4962 | 0.8614 | [X:[1.4], M:[0.8, 1.2, 1.0], q:[0.45, 0.75], qb:[0.35, 1.25], phi:[0.3]] | t^2.4 + t^3. + t^3.3 + t^3.6 + t^4.2 + t^4.8 + t^5.4 - t^3.9/y - t^3.9*y | detail | {a: 13677/32000, c: 15877/32000, X1: 7/5, M1: 4/5, M2: 6/5, M3: 1, q1: 9/20, q2: 3/4, qb1: 7/20, qb2: 5/4, phi1: 3/10} |
46584 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.4801 | 0.5664 | 0.8477 | [X:[1.4601], M:[0.9203, 1.0797, 0.6994, 0.8098], q:[0.4049, 0.6748], qb:[0.5154, 1.3252], phi:[0.2699]] | t^2.098 + t^2.429 + t^2.761 + t^3.239 + t^4.196 + t^4.38 + t^4.527 + 2*t^4.859 + t^5.19 + t^5.337 + t^5.522 - t^6. - t^3.81/y - t^5.908/y - t^3.81*y - t^5.908*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
46007 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5883 | 0.7268 | 0.8095 | [M:[1.0196, 0.9804, 0.7451], q:[0.5882, 0.3922], qb:[0.4314, 1.0196], phi:[0.3922]] | t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 - t^4.176/y - t^4.176*y | detail | {a: 8161/13872, c: 5041/6936, M1: 52/51, M2: 50/51, M3: 38/51, q1: 10/17, q2: 20/51, qb1: 22/51, qb2: 52/51, phi1: 20/51} |