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 |
---|---|---|---|---|---|---|---|---|---|
68 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.8783, 0.9032], qb:[0.3917, 0.8535], phi:[0.2433]] | [X:[[0, 4]], M:[[1, -7]], q:[[0, 1], [-1, 2]], qb:[[0, 5], [1, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | 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^6.075 + t^6.16 + t^6.346 - t^6.73 - t^6.804 + t^6.816 + t^6.89 + t^7.311 + t^7.471 + t^7.546 + t^7.62 + t^7.966 - 2*t^8.115 + t^8.276 - t^8.425 + t^8.462 - 2*t^8.845 + t^8.931 + t^8.994 - t^8.845/y^2 - t^3.73/y - t^5.845/y + t^7.615/y - t^7.961/y + t^8.196/y + t^8.851/y + t^8.925/y - t^3.73*y - t^5.845*y + t^7.615*y - t^7.961*y + t^8.196*y + t^8.851*y + t^8.925*y - t^8.845*y^2 | (g1*t^2.115)/g2^7 + g2^8*t^3.08 + g1*g2^5*t^3.736 + g2^6*t^3.81 + (g1^2*t^4.231)/g2^14 + g2^4*t^4.54 + g1*g2*t^5.196 + (g1^2*t^5.851)/g2^2 - 2*t^6. - (g2*t^6.075)/g1 + g2^16*t^6.16 + (g1^3*t^6.346)/g2^21 - t^6.73/g2^2 - t^6.804/(g1*g2) + g1*g2^13*t^6.816 + g2^14*t^6.89 + (g1^2*t^7.311)/g2^6 + g1^2*g2^10*t^7.471 + g1*g2^11*t^7.546 + g2^12*t^7.62 + (g1^3*t^7.966)/g2^9 - (2*g1*t^8.115)/g2^7 + g1*g2^9*t^8.276 - (g2^11*t^8.425)/g1 + (g1^4*t^8.462)/g2^28 - (2*g1*t^8.845)/g2^9 + g1^2*g2^6*t^8.931 + t^8.994/(g1*g2^7) - (g1*t^8.845)/(g2^9*y^2) - t^3.73/(g2^2*y) - (g1*t^5.845)/(g2^9*y) + (g2^5*t^7.615)/(g1*y) - (g1^2*t^7.961)/(g2^16*y) + (g1*g2*t^8.196)/y + (g1^2*t^8.851)/(g2^2*y) + (g1*t^8.925)/(g2*y) - (t^3.73*y)/g2^2 - (g1*t^5.845*y)/g2^9 + (g2^5*t^7.615*y)/g1 - (g1^2*t^7.961*y)/g2^16 + g1*g2*t^8.196*y + (g1^2*t^8.851*y)/g2^2 + (g1*t^8.925*y)/g2 - (g1*t^8.845*y^2)/g2^9 |
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 |
---|---|---|---|---|---|---|---|---|
45930 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\tilde{q}_{1}\tilde{q}_{2}$ | 0.3583 | 0.3667 | 0.9773 | [X:[1.7333], M:[0.8], q:[0.9333, 0.5333], qb:[0.6667, 1.3333], phi:[0.1333]] | t^2.4 + t^4.4 + t^4.8 - t^6. - t^3.4/y - t^5.8/y - t^3.4*y - t^5.8*y | detail | {a: 43/120, c: 11/30, X1: 26/15, M1: 4/5, q1: 14/15, q2: 8/15, qb1: 2/3, qb2: 4/3, phi1: 2/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
3 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.5258], qb:[0.5009], phi:[0.2433]] | 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 | |
75489 | SU2adj2nf1 | ${}\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ + ${ }M_{1}\phi_{2}\tilde{q}_{1}^{2}$ | 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 |
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 |
---|---|---|---|---|---|---|---|---|---|
1668 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 0.6817 | 0.8108 | 0.8408 | [M:[0.8681], q:[0.8067, 0.5659], qb:[0.5659, 0.515], phi:[0.3866]] | t^2.32 + t^2.604 + 2*t^3.243 + t^3.965 + 2*t^4.118 + t^4.25 + 2*t^4.403 + 3*t^4.555 + t^4.639 + t^4.924 + t^5.209 + 2*t^5.562 - 5*t^6. - t^4.16/y - t^4.16*y | detail |