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 |
---|---|---|---|---|---|---|---|---|---|
46275 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6065 | 0.7473 | 0.8115 | [M:[1.0, 0.8769, 0.7538], q:[0.6269, 0.3731], qb:[0.4962, 0.9962], phi:[0.3769]] | [M:[[0], [-1], [-2]], q:[[-1], [1]], qb:[[2], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ | ${}$ | -1 | 2*t^2.262 + t^2.608 + t^2.631 + t^3. + t^3.369 + 2*t^4.108 + t^4.477 + 3*t^4.523 + 3*t^4.869 + 2*t^4.892 + t^5.215 + t^5.238 + 2*t^5.262 + t^5.608 + t^5.631 + t^5.977 - t^6. + 3*t^6.369 - t^6.392 + 2*t^6.715 + 3*t^6.738 - 2*t^6.762 + 4*t^6.785 + t^7.085 + t^7.108 + 3*t^7.131 + 3*t^7.154 + 3*t^7.477 + t^7.5 + 3*t^7.523 + t^7.823 + t^7.869 + t^7.892 + 3*t^8.215 - 3*t^8.262 + 3*t^8.585 - 3*t^8.608 - t^8.654 + t^8.954 + 3*t^8.977 - t^4.131/y - (2*t^6.392)/y - t^6.762/y + t^7.5/y + t^7.523/y + (4*t^7.869)/y + (2*t^7.892)/y + t^8.238/y + (2*t^8.262)/y + t^8.608/y + (3*t^8.631)/y - (3*t^8.654)/y + t^8.977/y - t^4.131*y - 2*t^6.392*y - t^6.762*y + t^7.5*y + t^7.523*y + 4*t^7.869*y + 2*t^7.892*y + t^8.238*y + 2*t^8.262*y + t^8.608*y + 3*t^8.631*y - 3*t^8.654*y + t^8.977*y | (2*t^2.262)/g1^2 + g1^3*t^2.608 + t^2.631/g1 + t^3. + g1*t^3.369 + 2*g1^3*t^4.108 + g1^4*t^4.477 + (3*t^4.523)/g1^4 + 3*g1*t^4.869 + (2*t^4.892)/g1^3 + g1^6*t^5.215 + g1^2*t^5.238 + (2*t^5.262)/g1^2 + g1^3*t^5.608 + t^5.631/g1 + g1^4*t^5.977 - t^6. + 3*g1*t^6.369 - t^6.392/g1^3 + 2*g1^6*t^6.715 + 3*g1^2*t^6.738 - (2*t^6.762)/g1^2 + (4*t^6.785)/g1^6 + g1^7*t^7.085 + g1^3*t^7.108 + (3*t^7.131)/g1 + (3*t^7.154)/g1^5 + 3*g1^4*t^7.477 + t^7.5 + (3*t^7.523)/g1^4 + g1^9*t^7.823 + g1*t^7.869 + t^7.892/g1^3 + 3*g1^6*t^8.215 - (3*t^8.262)/g1^2 + 3*g1^7*t^8.585 - 3*g1^3*t^8.608 - t^8.654/g1^5 + g1^8*t^8.954 + 3*g1^4*t^8.977 - t^4.131/(g1*y) - (2*t^6.392)/(g1^3*y) - t^6.762/(g1^2*y) + t^7.5/y + t^7.523/(g1^4*y) + (4*g1*t^7.869)/y + (2*t^7.892)/(g1^3*y) + (g1^2*t^8.238)/y + (2*t^8.262)/(g1^2*y) + (g1^3*t^8.608)/y + (3*t^8.631)/(g1*y) - (3*t^8.654)/(g1^5*y) + (g1^4*t^8.977)/y - (t^4.131*y)/g1 - (2*t^6.392*y)/g1^3 - (t^6.762*y)/g1^2 + t^7.5*y + (t^7.523*y)/g1^4 + 4*g1*t^7.869*y + (2*t^7.892*y)/g1^3 + g1^2*t^8.238*y + (2*t^8.262*y)/g1^2 + g1^3*t^8.608*y + (3*t^8.631*y)/g1 - (3*t^8.654*y)/g1^5 + g1^4*t^8.977*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 |
---|---|---|---|---|---|---|---|---|
46629 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$ | 0.6064 | 0.7471 | 0.8118 | [M:[1.0, 0.875, 0.75], q:[0.625, 0.375], qb:[0.5, 1.0], phi:[0.375]] | 2*t^2.25 + 2*t^2.625 + t^3. + t^3.375 + 2*t^4.125 + 4*t^4.5 + 5*t^4.875 + 4*t^5.25 + 2*t^5.625 - t^4.125/y - t^4.125*y | detail | {a: 621/1024, c: 765/1024, M1: 1, M2: 7/8, M3: 3/4, q1: 5/8, q2: 3/8, qb1: 1/2, qb2: 1, phi1: 3/8} |
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 |
---|---|---|---|---|---|---|---|---|---|
46070 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}^{2}$ | 0.5879 | 0.7149 | 0.8223 | [M:[1.0, 0.8831], q:[0.6331, 0.3669], qb:[0.4837, 0.9837], phi:[0.3831]] | t^2.299 + t^2.552 + t^2.649 + t^3. + t^3.351 + t^3.701 + 2*t^4.052 + t^4.402 + t^4.598 + 2*t^4.851 + t^4.948 + t^5.104 + t^5.201 + t^5.299 + t^5.552 + t^5.902 - t^4.149/y - t^4.149*y | detail |