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 |
---|---|---|---|---|---|---|---|---|---|
749 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6702 | 0.8305 | 0.807 | [M:[1.0, 1.1534, 0.8959, 0.8466, 0.7178], q:[0.7822, 0.3712], qb:[0.6288, 0.4754], phi:[0.4356]] | [M:[[0], [-3], [-11], [3], [-1]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.153 + t^2.54 + t^2.614 + t^2.688 + t^3. + t^3.46 + t^3.534 + t^3.773 + t^4.159 + t^4.233 + 2*t^4.307 + t^4.619 + t^4.693 + t^4.767 + t^4.841 + 2*t^5.079 + 2*t^5.153 + t^5.227 + t^5.301 + t^5.375 + 2*t^5.614 + t^5.688 + t^5.926 - t^6. + t^6.074 + 2*t^6.148 + t^6.222 + t^6.312 + t^6.386 + 2*t^6.46 + t^6.699 + 2*t^6.773 + t^6.847 + 2*t^6.921 + 2*t^6.994 + t^7.068 + t^7.159 + 3*t^7.233 + 2*t^7.307 + t^7.381 + t^7.455 + t^7.529 + t^7.619 + 2*t^7.693 + 4*t^7.767 + 3*t^7.841 + t^7.915 + t^7.932 + t^7.989 + t^8.063 + t^8.079 - 2*t^8.153 + t^8.227 + 2*t^8.301 + t^8.318 + t^8.375 + t^8.392 + 2*t^8.614 - t^8.688 + t^8.762 + t^8.778 + 2*t^8.835 + 2*t^8.852 + t^8.909 - t^4.307/y - t^6.46/y - t^6.921/y - t^6.994/y + t^7.619/y + (2*t^7.693)/y + t^7.767/y + t^7.841/y + (3*t^8.153)/y + t^8.227/y + t^8.301/y + t^8.54/y + t^8.614/y + (2*t^8.688)/y + t^8.926/y - t^4.307*y - t^6.46*y - t^6.921*y - t^6.994*y + t^7.619*y + 2*t^7.693*y + t^7.767*y + t^7.841*y + 3*t^8.153*y + t^8.227*y + t^8.301*y + t^8.54*y + t^8.614*y + 2*t^8.688*y + t^8.926*y | t^2.153/g1 + g1^3*t^2.54 + t^2.614/g1^4 + t^2.688/g1^11 + t^3. + t^3.46/g1^3 + t^3.534/g1^10 + g1^8*t^3.773 + g1^12*t^4.159 + g1^5*t^4.233 + (2*t^4.307)/g1^2 + g1^9*t^4.619 + g1^2*t^4.693 + t^4.767/g1^5 + t^4.841/g1^12 + 2*g1^6*t^5.079 + (2*t^5.153)/g1 + t^5.227/g1^8 + t^5.301/g1^15 + t^5.375/g1^22 + (2*t^5.614)/g1^4 + t^5.688/g1^11 + g1^7*t^5.926 - t^6. + t^6.074/g1^7 + (2*t^6.148)/g1^14 + t^6.222/g1^21 + g1^11*t^6.312 + g1^4*t^6.386 + (2*t^6.46)/g1^3 + g1^15*t^6.699 + 2*g1^8*t^6.773 + g1*t^6.847 + (2*t^6.921)/g1^6 + (2*t^6.994)/g1^13 + t^7.068/g1^20 + g1^12*t^7.159 + 3*g1^5*t^7.233 + (2*t^7.307)/g1^2 + t^7.381/g1^9 + t^7.455/g1^16 + t^7.529/g1^23 + g1^9*t^7.619 + 2*g1^2*t^7.693 + (4*t^7.767)/g1^5 + (3*t^7.841)/g1^12 + t^7.915/g1^19 + g1^20*t^7.932 + t^7.989/g1^26 + t^8.063/g1^33 + g1^6*t^8.079 - (2*t^8.153)/g1 + t^8.227/g1^8 + (2*t^8.301)/g1^15 + g1^24*t^8.318 + t^8.375/g1^22 + g1^17*t^8.392 + (2*t^8.614)/g1^4 - t^8.688/g1^11 + t^8.762/g1^18 + g1^21*t^8.778 + (2*t^8.835)/g1^25 + 2*g1^14*t^8.852 + t^8.909/g1^32 - t^4.307/(g1^2*y) - t^6.46/(g1^3*y) - t^6.921/(g1^6*y) - t^6.994/(g1^13*y) + (g1^9*t^7.619)/y + (2*g1^2*t^7.693)/y + t^7.767/(g1^5*y) + t^7.841/(g1^12*y) + (3*t^8.153)/(g1*y) + t^8.227/(g1^8*y) + t^8.301/(g1^15*y) + (g1^3*t^8.54)/y + t^8.614/(g1^4*y) + (2*t^8.688)/(g1^11*y) + (g1^7*t^8.926)/y - (t^4.307*y)/g1^2 - (t^6.46*y)/g1^3 - (t^6.921*y)/g1^6 - (t^6.994*y)/g1^13 + g1^9*t^7.619*y + 2*g1^2*t^7.693*y + (t^7.767*y)/g1^5 + (t^7.841*y)/g1^12 + (3*t^8.153*y)/g1 + (t^8.227*y)/g1^8 + (t^8.301*y)/g1^15 + g1^3*t^8.54*y + (t^8.614*y)/g1^4 + (2*t^8.688*y)/g1^11 + g1^7*t^8.926*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 |
---|---|---|---|---|---|---|---|---|
1234 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.6635 | 0.8206 | 0.8086 | [M:[1.0, 1.1712, 0.9612, 0.8288, 0.7237, 1.0388], q:[0.7763, 0.395], qb:[0.605, 0.4338], phi:[0.4475]] | t^2.171 + t^2.486 + t^2.685 + t^3. + t^3.116 + t^3.514 + t^3.63 + t^3.712 + t^3.945 + t^4.144 + 2*t^4.342 + t^4.459 + t^4.658 + t^4.856 + 2*t^4.973 + 2*t^5.171 + t^5.288 + t^5.603 + 2*t^5.685 + 2*t^5.801 - t^6. - t^4.342/y - t^4.342*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 |
---|---|---|---|---|---|---|---|---|---|
445 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ | 0.6501 | 0.7927 | 0.8201 | [M:[1.0, 1.1539, 0.8975, 0.8461], q:[0.782, 0.3718], qb:[0.6282, 0.4743], phi:[0.4359]] | t^2.538 + t^2.615 + t^2.693 + t^3. + t^3.462 + t^3.539 + t^3.769 + t^3.846 + t^4.154 + t^4.231 + t^4.308 + t^4.615 + 2*t^5.077 + t^5.154 + t^5.231 + t^5.308 + t^5.385 + t^5.615 - t^6. - t^4.308/y - t^4.308*y | detail |