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 |
---|---|---|---|---|---|---|---|---|---|
75472 | SU2adj2nf1 | ${}M_{1}q_{1}\tilde{q}_{1}$ | 0.7796 | 0.8531 | 0.9139 | [X:[], M:[0.7003], q:[0.6499], qb:[0.6499], phi:[0.5875, 0.5875], S:[], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -4, -4]], q:[[0, 4, 0]], qb:[[0, 0, 4]], phi:[[-1, -1, -1], [1, 0, 0]], S:[], Sb:[], A:[], Ab:[]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{2}^{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\phi_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\phi_{2}$, ${ }M_{1}\phi_{2}^{2}$, ${ }\phi_{2}q_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{2}\tilde{q}_{1}^{2}$ | ${}$ | -7 | t^2.101 + 3*t^3.525 + t^4.202 + 3*t^5.626 + 6*t^5.662 - 7*t^6. + t^6.303 + 6*t^7.05 + 3*t^7.424 + 3*t^7.727 - 2*t^7.763 - 4*t^8.101 - 6*t^8.137 + t^8.403 + t^8.475 - (2*t^4.763)/y - (2*t^6.863)/y + (2*t^7.237)/y - (4*t^8.288)/y + (3*t^8.626)/y + (2*t^8.662)/y - (2*t^8.964)/y - 2*t^4.763*y - 2*t^6.863*y + 2*t^7.237*y - 4*t^8.288*y + 3*t^8.626*y + 2*t^8.662*y - 2*t^8.964*y | t^2.101/(g2^4*g3^4) + g1^2*t^3.525 + t^3.525/(g1^2*g2^2*g3^2) + t^3.525/(g2*g3) + t^4.202/(g2^8*g3^8) + t^5.626/(g1^2*g2^6*g3^6) + t^5.626/(g2^5*g3^5) + (g1^2*t^5.626)/(g2^4*g3^4) + g1*g2^8*t^5.662 + (g2^7*t^5.662)/(g1*g3) + (g2^3*g3^3*t^5.662)/g1 + g1*g2^4*g3^4*t^5.662 + (g3^7*t^5.662)/(g1*g2) + g1*g3^8*t^5.662 - 3*t^6. - (g2^4*t^6.)/g3^4 - t^6./(g1^2*g2*g3) - g1^2*g2*g3*t^6. - (g3^4*t^6.)/g2^4 + t^6.303/(g2^12*g3^12) + g1^4*t^7.05 + t^7.05/(g1^4*g2^4*g3^4) + t^7.05/(g1^2*g2^3*g3^3) + (2*t^7.05)/(g2^2*g3^2) + (g1^2*t^7.05)/(g2*g3) + (g2^7*t^7.424)/g3 + g2^3*g3^3*t^7.424 + (g3^7*t^7.424)/g2 + t^7.727/(g1^2*g2^10*g3^10) + t^7.727/(g2^9*g3^9) + (g1^2*t^7.727)/(g2^8*g3^8) - g1*t^7.763 - t^7.763/(g1*g2*g3) - t^8.101/(g1^2*g2^5*g3^5) - (2*t^8.101)/(g2^4*g3^4) - (g1^2*t^8.101)/(g2^3*g3^3) - (g2^8*t^8.137)/g1 - g1*g2^9*g3*t^8.137 - (g2^4*g3^4*t^8.137)/g1 - g1*g2^5*g3^5*t^8.137 - (g3^8*t^8.137)/g1 - g1*g2*g3^9*t^8.137 + t^8.403/(g2^16*g3^16) + g2*g3*t^8.475 - (g1*t^4.763)/y - t^4.763/(g1*g2*g3*y) - t^6.863/(g1*g2^5*g3^5*y) - (g1*t^6.863)/(g2^4*g3^4*y) + t^7.237/(g1*y) + (g1*g2*g3*t^7.237)/y - (g1^3*t^8.288)/y - t^8.288/(g1^3*g2^3*g3^3*y) - t^8.288/(g1*g2^2*g3^2*y) - (g1*t^8.288)/(g2*g3*y) + t^8.626/(g1^2*g2^6*g3^6*y) + t^8.626/(g2^5*g3^5*y) + (g1^2*t^8.626)/(g2^4*g3^4*y) + (g2^3*g3^3*t^8.662)/(g1*y) + (g1*g2^4*g3^4*t^8.662)/y - t^8.964/(g1*g2^9*g3^9*y) - (g1*t^8.964)/(g2^8*g3^8*y) - g1*t^4.763*y - (t^4.763*y)/(g1*g2*g3) - (t^6.863*y)/(g1*g2^5*g3^5) - (g1*t^6.863*y)/(g2^4*g3^4) + (t^7.237*y)/g1 + g1*g2*g3*t^7.237*y - g1^3*t^8.288*y - (t^8.288*y)/(g1^3*g2^3*g3^3) - (t^8.288*y)/(g1*g2^2*g3^2) - (g1*t^8.288*y)/(g2*g3) + (t^8.626*y)/(g1^2*g2^6*g3^6) + (t^8.626*y)/(g2^5*g3^5) + (g1^2*t^8.626*y)/(g2^4*g3^4) + (g2^3*g3^3*t^8.662*y)/g1 + g1*g2^4*g3^4*t^8.662*y - (t^8.964*y)/(g1*g2^9*g3^9) - (g1*t^8.964*y)/(g2^8*g3^8) |
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 |
---|---|---|---|---|---|---|---|---|
75491 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}\phi_{2}$ | 0.774 | 0.849 | 0.9117 | [X:[], M:[0.8], q:[0.6], qb:[0.6], phi:[0.6, 0.6], S:[], Sb:[], A:[], Ab:[]] | t^2.4 + 3*t^3.6 + t^4.8 + 6*t^5.4 - 4*t^6. - (2*t^4.8)/y - 2*t^4.8*y | detail | {a: 387/500, c: 849/1000, M1: 4/5, q1: 3/5, qb1: 3/5, phi1: 3/5, phi2: 3/5} |
75485 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7763 | 0.8507 | 0.9126 | [X:[], M:[0.7588], q:[0.6206], qb:[0.6206], phi:[0.6206, 0.5691], S:[], Sb:[], A:[], Ab:[]] | t^2.276 + t^3.414 + t^3.569 + t^3.724 + t^4.553 + 3*t^5.431 + 3*t^5.586 + t^5.691 - 4*t^6. - t^4.707/y - t^4.862/y - t^4.707*y - t^4.862*y | detail | |
75481 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.7313 | 0.8094 | 0.9035 | [X:[], M:[1.0], q:[0.5], qb:[0.5], phi:[0.625, 0.625], S:[], Sb:[], A:[], Ab:[]] | t^3. + 3*t^3.75 + 6*t^4.875 - 6*t^6. - (2*t^4.875)/y - 2*t^4.875*y | detail | {a: 5991/8192, c: 6631/8192, M1: 1, q1: 1/2, qb1: 1/2, phi1: 5/8, phi2: 5/8} |
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 |
---|---|---|---|---|---|---|---|---|---|
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 |