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 |
---|---|---|---|---|---|---|---|---|---|
45836 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], q:[0.8761, 0.8761], qb:[0.8761, 0.3803], phi:[0.2479]] | [X:[[0, 4]], q:[[-1, 2], [1, 0]], qb:[[0, 1], [0, 5]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$ | ${}$ | -4 | t^3.025 + 3*t^3.769 + t^4.513 - 4*t^6. + t^6.051 - 3*t^6.744 + 3*t^6.794 + 6*t^7.538 + t^8.231 + 3*t^8.975 - t^3.744/y - t^3.744*y | g2^8*t^3.025 + g1*g2^5*t^3.769 + g2^6*t^3.769 + (g2^7*t^3.769)/g1 + g2^4*t^4.513 - 2*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 + g2^16*t^6.051 - (g1*t^6.744)/g2^3 - t^6.744/g2^2 - t^6.744/(g1*g2) + g1*g2^13*t^6.794 + g2^14*t^6.794 + (g2^15*t^6.794)/g1 + g1^2*g2^10*t^7.538 + g1*g2^11*t^7.538 + 2*g2^12*t^7.538 + (g2^13*t^7.538)/g1 + (g2^14*t^7.538)/g1^2 + t^8.231/g2^6 + (g1*t^8.975)/g2^9 + t^8.975/g2^8 + t^8.975/(g1*g2^7) - t^3.744/(g2^2*y) - (t^3.744*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
45851 | ${}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.8889, 0.8889], qb:[0.8889, 0.4444], phi:[0.2222]] | t^2.667 + 3*t^4. + t^4.667 + t^5.333 - 4*t^6. - t^3.667/y - t^3.667*y | detail | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 8/9, q2: 8/9, qb1: 8/9, qb2: 4/9, phi1: 2/9} |
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 |
---|---|---|---|---|---|---|---|---|---|
1 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], q:[0.5042], qb:[0.5042], phi:[0.2479]] | t^3.025 + 3*t^3.769 + t^4.513 - 4*t^6. - t^3.744/y - t^3.744*y | detail | |
75471 | SU2adj2nf1 | ${}\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], M:[], q:[0.5042], qb:[0.5042], phi:[1.0, 0.2479], S:[], Sb:[], A:[], Ab:[]] | t^3.025 + 3*t^3.769 + t^4.513 - 4*t^6. - t^3.744/y - t^3.744*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
39 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ | 0.6076 | 0.7195 | 0.8446 | [q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.147 + t^2.779 + 7*t^3.853 + t^4.294 + 2*t^4.926 + t^5.559 - 2*t^6. - t^4.074/y - t^4.074*y | detail |