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 |
---|---|---|---|---|---|---|---|---|---|
99 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 0.6011 | 0.7381 | 0.8144 | [M:[1.154, 1.154], q:[0.75, 0.4419], qb:[0.404, 0.404], phi:[0.5]] | [M:[[0, 1], [1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -4 | t^2.424 + t^3. + 4*t^3.462 + t^3.576 + 3*t^3.924 + 2*t^4.038 + t^4.151 + t^4.849 + t^5.424 + 2*t^5.886 - 4*t^6. - 2*t^6.114 + 3*t^6.349 + 2*t^6.462 + 9*t^6.924 + 2*t^7.038 + t^7.151 + t^7.273 + 8*t^7.386 + 3*t^7.5 + 2*t^7.614 + t^7.727 + 6*t^7.849 + 2*t^7.962 + 2*t^8.076 + 2*t^8.189 + t^8.303 + 2*t^8.311 - 4*t^8.424 - 2*t^8.538 + 3*t^8.773 - t^4.5/y + (2*t^7.038)/y - (2*t^7.962)/y + t^8.424/y + (4*t^8.886)/y - t^4.5*y + 2*t^7.038*y - 2*t^7.962*y + t^8.424*y + 4*t^8.886*y | g1*g2*t^2.424 + t^3. + 2*g1*t^3.462 + 2*g2*t^3.462 + t^3.576/(g1*g2) + g1^2*t^3.924 + g1*g2*t^3.924 + g2^2*t^3.924 + t^4.038/g1 + t^4.038/g2 + t^4.151/(g1^2*g2^2) + g1^2*g2^2*t^4.849 + g1*g2*t^5.424 + g1^2*g2*t^5.886 + g1*g2^2*t^5.886 - 2*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - t^6.114/(g1*g2^2) - t^6.114/(g1^2*g2) + g1^3*g2*t^6.349 + g1^2*g2^2*t^6.349 + g1*g2^3*t^6.349 + g1*t^6.462 + g2*t^6.462 + 3*g1^2*t^6.924 + 3*g1*g2*t^6.924 + 3*g2^2*t^6.924 + t^7.038/g1 + t^7.038/g2 + t^7.151/(g1^2*g2^2) + g1^3*g2^3*t^7.273 + 2*g1^3*t^7.386 + 2*g1^2*g2*t^7.386 + 2*g1*g2^2*t^7.386 + 2*g2^3*t^7.386 + t^7.5 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + t^7.614/(g1*g2^2) + t^7.614/(g1^2*g2) + t^7.727/(g1^3*g2^3) + g1^4*t^7.849 + g1^3*g2*t^7.849 + 2*g1^2*g2^2*t^7.849 + g1*g2^3*t^7.849 + g2^4*t^7.849 + (g1^2*t^7.962)/g2 + (g2^2*t^7.962)/g1 + t^8.076/g1^2 + t^8.076/g2^2 + t^8.189/(g1^2*g2^3) + t^8.189/(g1^3*g2^2) + t^8.303/(g1^4*g2^4) + g1^3*g2^2*t^8.311 + g1^2*g2^3*t^8.311 - g1^2*t^8.424 - 2*g1*g2*t^8.424 - g2^2*t^8.424 - t^8.538/g1 - t^8.538/g2 + g1^4*g2^2*t^8.773 + g1^3*g2^3*t^8.773 + g1^2*g2^4*t^8.773 - t^4.5/y + t^7.038/(g1*y) + t^7.038/(g2*y) - (g1*t^7.962)/y - (g2*t^7.962)/y + (g1*g2*t^8.424)/y + (2*g1^2*g2*t^8.886)/y + (2*g1*g2^2*t^8.886)/y - t^4.5*y + (t^7.038*y)/g1 + (t^7.038*y)/g2 - g1*t^7.962*y - g2*t^7.962*y + g1*g2*t^8.424*y + 2*g1^2*g2*t^8.886*y + 2*g1*g2^2*t^8.886*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 |
---|---|---|---|---|---|---|---|---|
157 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6218 | 0.7781 | 0.7992 | [M:[1.1561, 1.1561, 0.6878], q:[0.75, 0.4378], qb:[0.4061, 0.4061], phi:[0.5]] | t^2.063 + t^2.437 + t^3. + 4*t^3.468 + t^3.563 + 2*t^3.937 + 2*t^4.032 + 2*t^4.127 + t^4.5 + t^4.873 + t^5.063 + t^5.437 + 4*t^5.532 + t^5.627 + 2*t^5.905 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
158 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6219 | 0.7787 | 0.7986 | [M:[1.1511, 1.1598, 0.6804], q:[0.75, 0.4391], qb:[0.4098, 0.4011], phi:[0.5]] | t^2.041 + t^2.433 + t^3. + 2*t^3.453 + 2*t^3.479 + t^3.567 + t^3.906 + t^3.933 + t^4.021 + t^4.047 + t^4.083 + t^4.135 + t^4.474 + t^4.865 + t^5.041 + t^5.433 + 2*t^5.495 + 2*t^5.521 + t^5.609 + t^5.886 + t^5.912 + t^5.948 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
156 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5859 | 0.7109 | 0.8242 | [M:[1.1667, 1.1667, 1.1667], q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | t^3. + 6*t^3.5 + 6*t^4. - 9*t^6. - t^4.5/y - t^4.5*y | detail | {a: 75/128, c: 91/128, M1: 7/6, M2: 7/6, M3: 7/6, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
64 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ | 0.6155 | 0.7629 | 0.8067 | [M:[1.1409], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]] | 2*t^2.461 + t^3. + 2*t^3.423 + 2*t^3.539 + t^3.845 + 2*t^3.961 + 3*t^4.077 + 3*t^4.923 + 2*t^5.461 + 2*t^5.884 - t^6. - t^4.5/y - t^4.5*y | detail |