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 |
---|---|---|---|---|---|---|---|---|---|
46497 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.6315 | 0.7847 | 0.8048 | [X:[1.6], M:[1.2, 0.4, 0.7748, 0.7748, 0.8], q:[0.4126, 0.3874], qb:[0.8378, 0.7622], phi:[0.4]] | [X:[[0, 0]], M:[[0, 0], [0, 0], [2, 0], [-1, 1], [0, 0]], q:[[-1, 0], [1, 0]], qb:[[0, -1], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }X_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{1}q_{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{4}\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}M_{5}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$ | -1 | 2*t^2.324 + 2*t^2.4 + t^3.449 + 2*t^3.524 + t^3.6 + t^3.751 + 3*t^4.649 + 4*t^4.724 + 4*t^4.8 + 2*t^5.773 + 5*t^5.849 + 4*t^5.924 - t^6. + t^6.151 + t^6.898 + 6*t^6.973 + 8*t^7.049 + 6*t^7.124 + 3*t^7.2 - 2*t^7.276 - t^7.351 + t^7.502 + 3*t^8.098 + 8*t^8.173 + 8*t^8.249 - 4*t^8.4 - 4*t^8.476 + t^8.551 - t^4.2/y - (2*t^6.524)/y - t^6.6/y + t^7.649/y + (4*t^7.724)/y + (2*t^7.8)/y + (2*t^7.876)/y + (2*t^8.773)/y + (3*t^8.849)/y + (4*t^8.924)/y - t^4.2*y - 2*t^6.524*y - t^6.6*y + t^7.649*y + 4*t^7.724*y + 2*t^7.8*y + 2*t^7.876*y + 2*t^8.773*y + 3*t^8.849*y + 4*t^8.924*y | g1^2*t^2.324 + (g2*t^2.324)/g1 + 2*t^2.4 + g1*g2*t^3.449 + g1^2*t^3.524 + (g2*t^3.524)/g1 + t^3.6 + t^3.751/(g1*g2) + g1^4*t^4.649 + g1*g2*t^4.649 + (g2^2*t^4.649)/g1^2 + 2*g1^2*t^4.724 + (2*g2*t^4.724)/g1 + 4*t^4.8 + g1^3*g2*t^5.773 + g2^2*t^5.773 + g1^4*t^5.849 + 3*g1*g2*t^5.849 + (g2^2*t^5.849)/g1^2 + 2*g1^2*t^5.924 + (2*g2*t^5.924)/g1 - t^6. + t^6.151/(g1*g2) + g1^2*g2^2*t^6.898 + g1^6*t^6.973 + 2*g1^3*g2*t^6.973 + 2*g2^2*t^6.973 + (g2^3*t^6.973)/g1^3 + 3*g1^4*t^7.049 + 2*g1*g2*t^7.049 + (3*g2^2*t^7.049)/g1^2 + 3*g1^2*t^7.124 + (3*g2*t^7.124)/g1 + 3*t^7.2 - t^7.276/g1^2 - (g1*t^7.276)/g2 - t^7.351/(g1*g2) + t^7.502/(g1^2*g2^2) + g1^5*g2*t^8.098 + g1^2*g2^2*t^8.098 + (g2^3*t^8.098)/g1 + g1^6*t^8.173 + 3*g1^3*g2*t^8.173 + 3*g2^2*t^8.173 + (g2^3*t^8.173)/g1^3 + 2*g1^4*t^8.249 + 4*g1*g2*t^8.249 + (2*g2^2*t^8.249)/g1^2 - 4*t^8.4 - (2*t^8.476)/g1^2 - (2*g1*t^8.476)/g2 + t^8.551/(g1*g2) - t^4.2/y - (g1^2*t^6.524)/y - (g2*t^6.524)/(g1*y) - t^6.6/y + (g1*g2*t^7.649)/y + (2*g1^2*t^7.724)/y + (2*g2*t^7.724)/(g1*y) + (2*t^7.8)/y + t^7.876/(g1^2*y) + (g1*t^7.876)/(g2*y) + (g1^3*g2*t^8.773)/y + (g2^2*t^8.773)/y + (3*g1*g2*t^8.849)/y + (2*g1^2*t^8.924)/y + (2*g2*t^8.924)/(g1*y) - t^4.2*y - g1^2*t^6.524*y - (g2*t^6.524*y)/g1 - t^6.6*y + g1*g2*t^7.649*y + 2*g1^2*t^7.724*y + (2*g2*t^7.724*y)/g1 + 2*t^7.8*y + (t^7.876*y)/g1^2 + (g1*t^7.876*y)/g2 + g1^3*g2*t^8.773*y + g2^2*t^8.773*y + 3*g1*g2*t^8.849*y + 2*g1^2*t^8.924*y + (2*g2*t^8.924*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
47186 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6303 | 0.781 | 0.8071 | [X:[1.6], M:[1.2, 0.4, 0.7793, 0.8103, 0.8], q:[0.4103, 0.3897], qb:[0.8, 0.8], phi:[0.4]] | t^2.338 + 2*t^2.4 + t^2.431 + t^3.538 + t^3.569 + t^3.6 + 2*t^3.631 + t^4.676 + 2*t^4.738 + t^4.769 + 4*t^4.8 + 2*t^4.831 + t^4.862 + t^5.876 + t^5.907 + 2*t^5.938 + 3*t^5.969 - t^4.2/y - t^4.2*y | detail | |
46902 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}^{2}$ | 0.5974 | 0.7417 | 0.8054 | [X:[1.6], M:[1.2, 0.4, 0.6904, 1.0, 0.8], q:[0.4548, 0.3452], qb:[0.6548, 0.9452], phi:[0.4]] | t^2.071 + 2*t^2.4 + t^3. + t^3.271 + t^3.329 + t^3.6 + t^3.871 + t^4.143 + t^4.2 + 2*t^4.471 + 4*t^4.8 + t^5.071 + t^5.343 + 2*t^5.4 + 2*t^5.671 + t^5.729 + t^5.943 - t^4.2/y - t^4.2*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
46323 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.615 | 0.7557 | 0.8139 | [X:[1.6], M:[1.2, 0.4, 0.7748, 0.7748], q:[0.4126, 0.3874], qb:[0.8378, 0.7622], phi:[0.4]] | 2*t^2.324 + t^2.4 + t^3.449 + 2*t^3.524 + 2*t^3.6 + t^3.751 + 3*t^4.649 + 2*t^4.724 + 2*t^4.8 + 2*t^5.773 + 4*t^5.849 + 4*t^5.924 - t^6. - t^4.2/y - t^4.2*y | detail |