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 |
---|---|---|---|---|---|---|---|---|---|
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:[]] | [X:[[0, 2]], M:[], q:[[-1, 4]], qb:[[1, 0]], phi:[[0, 0], [0, -1]], S:[], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{1}$, ${ }\phi_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{2}q_{1}^{2}$, ${ }X_{1}$ | ${}$ | -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 | g2^4*t^3.025 + (g1^2*t^3.769)/g2 + g2^3*t^3.769 + (g2^7*t^3.769)/g1^2 + g2^2*t^4.513 - 2*t^6. - (g1^2*t^6.)/g2^4 - (g2^4*t^6.)/g1^2 + g2^8*t^6.051 - (g1^2*t^6.744)/g2^5 - t^6.744/g2 - (g2^3*t^6.744)/g1^2 + g1^2*g2^3*t^6.794 + g2^7*t^6.794 + (g2^11*t^6.794)/g1^2 + (g1^4*t^7.538)/g2^2 + g1^2*g2^2*t^7.538 + 2*g2^6*t^7.538 + (g2^10*t^7.538)/g1^2 + (g2^14*t^7.538)/g1^4 + t^8.231/g2^3 + t^8.975/g1^2 + (g1^2*t^8.975)/g2^8 + t^8.975/g2^4 - t^3.744/(g2*y) - (t^3.744*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
75493 | ${}\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ + ${ }M_{1}\phi_{2}q_{1}\tilde{q}_{1}$ | 0.4723 | 0.5327 | 0.8867 | [X:[1.5173], M:[0.7241], q:[0.5173], qb:[0.5173], phi:[1.0, 0.2414], S:[], Sb:[], A:[], Ab:[]] | t^2.172 + t^3.104 + 2*t^3.828 + t^4.345 + t^4.552 + t^5.276 - 2*t^6. - t^3.724/y - t^5.896/y - t^3.724*y - t^5.896*y | detail | |
75489 | ${}\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ + ${ }M_{1}\phi_{2}\tilde{q}_{1}^{2}$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.5009], qb:[0.5258], phi:[1.0, 0.2433], S:[], Sb:[], A:[], Ab:[]] | t^2.115 + t^3.08 + t^3.736 + t^3.81 + t^4.231 + t^4.54 + t^5.196 + t^5.851 - 2*t^6. - t^3.73/y - t^5.845/y - t^3.73*y - t^5.845*y | detail | |
75484 | ${}\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.5556], qb:[0.5556], phi:[1.0, 0.2222], S:[], Sb:[], A:[], Ab:[]] | 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: 5/9, qb1: 5/9, phi1: 1, phi2: 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 | |
45 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }q_{1}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], q:[0.8761, 1.1239], qb:[0.5042, 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 |
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 |
---|---|---|---|---|---|---|---|---|---|
75466 | SU2adj2nf1 | ${}$ | 0.7594 | 0.8162 | 0.9304 | [X:[], M:[], q:[0.6364], qb:[0.6364], phi:[0.5909, 0.5909], S:[], Sb:[], A:[], Ab:[]] | 3*t^3.545 + t^3.818 + 6*t^5.591 - 7*t^6. - (2*t^4.773)/y - 2*t^4.773*y | detail |