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 |
---|---|---|---|---|---|---|---|---|---|
2278 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6783 | 0.8471 | 0.8008 | [M:[1.0, 1.175, 0.9751, 0.825, 0.825, 0.725, 1.0249], q:[0.775, 0.4], qb:[0.6, 0.4249], phi:[0.45]] | [M:[[0], [-3], [-11], [3], [3], [-1], [11]], q:[[1], [-4]], qb:[[4], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.175 + 2*t^2.475 + t^2.7 + t^3. + t^3.075 + t^3.6 + t^3.75 + t^3.9 + t^4.125 + 2*t^4.35 + t^4.425 + 2*t^4.65 + t^4.875 + 4*t^4.95 + 3*t^5.175 + t^5.25 + t^5.475 + 2*t^5.55 + t^5.7 + 2*t^5.775 - 2*t^6. + 3*t^6.075 + t^6.149 + t^6.225 + t^6.3 + 2*t^6.375 + t^6.45 + 3*t^6.6 + t^6.674 + 3*t^6.825 + 2*t^6.9 + t^6.974 + 4*t^7.125 + t^7.199 - t^7.275 + 2*t^7.35 + 6*t^7.425 + 2*t^7.499 + t^7.501 + 4*t^7.65 + 2*t^7.725 + t^7.799 + 2*t^7.95 + 5*t^8.024 + t^8.1 - 2*t^8.175 + 4*t^8.25 + 2*t^8.324 - 4*t^8.475 + 5*t^8.55 + 2*t^8.624 + 2*t^8.775 + 6*t^8.849 + t^8.925 - t^4.35/y - t^6.525/y - t^6.825/y - t^7.05/y + (3*t^7.65)/y + (2*t^7.875)/y + t^7.95/y + (4*t^8.175)/y + t^8.25/y + (2*t^8.475)/y + (2*t^8.55)/y + (2*t^8.775)/y + t^8.925/y - t^4.35*y - t^6.525*y - t^6.825*y - t^7.05*y + 3*t^7.65*y + 2*t^7.875*y + t^7.95*y + 4*t^8.175*y + t^8.25*y + 2*t^8.475*y + 2*t^8.55*y + 2*t^8.775*y + t^8.925*y | t^2.175/g1 + 2*g1^3*t^2.475 + t^2.7/g1^4 + t^3. + g1^11*t^3.075 + g1^8*t^3.6 + t^3.75/g1^10 + g1^12*t^3.9 + g1^5*t^4.125 + (2*t^4.35)/g1^2 + g1^9*t^4.425 + 2*g1^2*t^4.65 + t^4.875/g1^5 + 4*g1^6*t^4.95 + (3*t^5.175)/g1 + g1^10*t^5.25 + g1^3*t^5.475 + 2*g1^14*t^5.55 + t^5.7/g1^4 + 2*g1^7*t^5.775 - 2*t^6. + 3*g1^11*t^6.075 + g1^22*t^6.149 + t^6.225/g1^7 + g1^4*t^6.3 + 2*g1^15*t^6.375 + t^6.45/g1^14 + 3*g1^8*t^6.6 + g1^19*t^6.674 + 3*g1*t^6.825 + 2*g1^12*t^6.9 + g1^23*t^6.974 + 4*g1^5*t^7.125 + g1^16*t^7.199 - t^7.275/g1^13 + (2*t^7.35)/g1^2 + 6*g1^9*t^7.425 + 2*g1^20*t^7.499 + t^7.501/g1^20 + 4*g1^2*t^7.65 + 2*g1^13*t^7.725 + g1^24*t^7.799 + 2*g1^6*t^7.95 + 5*g1^17*t^8.024 + t^8.1/g1^12 - (2*t^8.175)/g1 + 4*g1^10*t^8.25 + 2*g1^21*t^8.324 - 4*g1^3*t^8.475 + 5*g1^14*t^8.55 + 2*g1^25*t^8.624 + 2*g1^7*t^8.775 + 6*g1^18*t^8.849 + t^8.925/g1^11 - t^4.35/(g1^2*y) - t^6.525/(g1^3*y) - (g1*t^6.825)/y - t^7.05/(g1^6*y) + (3*g1^2*t^7.65)/y + (2*t^7.875)/(g1^5*y) + (g1^6*t^7.95)/y + (4*t^8.175)/(g1*y) + (g1^10*t^8.25)/y + (2*g1^3*t^8.475)/y + (2*g1^14*t^8.55)/y + (2*g1^7*t^8.775)/y + t^8.925/(g1^11*y) - (t^4.35*y)/g1^2 - (t^6.525*y)/g1^3 - g1*t^6.825*y - (t^7.05*y)/g1^6 + 3*g1^2*t^7.65*y + (2*t^7.875*y)/g1^5 + g1^6*t^7.95*y + (4*t^8.175*y)/g1 + g1^10*t^8.25*y + 2*g1^3*t^8.475*y + 2*g1^14*t^8.55*y + 2*g1^7*t^8.775*y + (t^8.925*y)/g1^11 |
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 |
---|---|---|---|---|---|---|---|---|
4301 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6954 | 0.876 | 0.7938 | [M:[1.0, 1.1673, 0.9466, 0.8327, 0.8327, 0.7224, 1.0534, 0.7794], q:[0.7776, 0.3897], qb:[0.6103, 0.4431], phi:[0.4448]] | t^2.167 + t^2.338 + 2*t^2.498 + t^2.669 + t^3. + t^3.16 + t^3.673 + t^3.993 + t^4.164 + 2*t^4.335 + t^4.495 + t^4.505 + 2*t^4.665 + t^4.676 + 3*t^4.836 + 4*t^4.996 + t^5.007 + 3*t^5.167 + t^5.327 + t^5.338 + 2*t^5.498 + 2*t^5.658 + t^5.669 + t^5.829 - 2*t^6. - t^4.335/y - t^4.335*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 |
---|---|---|---|---|---|---|---|---|---|
1227 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6837 | 0.8536 | 0.8009 | [M:[1.0, 1.1572, 0.9097, 0.8428, 0.8428, 0.7191], q:[0.7809, 0.3763], qb:[0.6237, 0.4666], phi:[0.4381]] | t^2.157 + 2*t^2.528 + t^2.629 + t^2.729 + t^3. + t^3.572 + t^3.742 + t^4.114 + t^4.214 + 2*t^4.314 + t^4.585 + 2*t^4.686 + t^4.786 + t^4.886 + 4*t^5.057 + 3*t^5.157 + 2*t^5.258 + t^5.358 + t^5.458 + t^5.528 + t^5.629 + t^5.729 + t^5.9 - 2*t^6. - t^4.314/y - t^4.314*y | detail |