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 |
---|---|---|---|---|---|---|---|---|---|
91 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.5344 | 0.6715 | 0.7957 | [M:[1.0], q:[0.7805, 0.7805], qb:[0.2195, 0.4638], phi:[0.4389]] | [M:[[0]], q:[[1], [1]], qb:[[-1], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | 1 | t^2.05 + 2*t^2.634 + 2*t^3. + t^3.366 + 2*t^3.733 + 2*t^4.099 + 3*t^4.683 + 2*t^5.05 + 2*t^5.267 + t^5.416 + 2*t^5.634 + 2*t^5.783 + t^6. + 2*t^6.149 + 2*t^6.366 - t^6.584 + 6*t^6.733 - 2*t^6.95 + 4*t^7.099 + t^7.317 + 4*t^7.466 + 4*t^7.832 + 2*t^7.901 - t^8.05 + 3*t^8.199 + 2*t^8.416 - 2*t^8.634 + 6*t^8.783 - t^4.317/y - t^6.95/y + (3*t^7.683)/y + (2*t^8.05)/y + t^8.267/y + t^8.416/y + (4*t^8.634)/y + (2*t^8.783)/y - t^4.317*y - t^6.95*y + 3*t^7.683*y + 2*t^8.05*y + t^8.267*y + t^8.416*y + 4*t^8.634*y + 2*t^8.783*y | g1^6*t^2.05 + (2*t^2.634)/g1^4 + 2*t^3. + g1^4*t^3.366 + 2*g1^8*t^3.733 + 2*g1^12*t^4.099 + 3*g1^2*t^4.683 + 2*g1^6*t^5.05 + (2*t^5.267)/g1^8 + g1^10*t^5.416 + (2*t^5.634)/g1^4 + 2*g1^14*t^5.783 + t^6. + 2*g1^18*t^6.149 + 2*g1^4*t^6.366 - t^6.584/g1^10 + 6*g1^8*t^6.733 - (2*t^6.95)/g1^6 + 4*g1^12*t^7.099 + t^7.317/g1^2 + 4*g1^16*t^7.466 + 4*g1^20*t^7.832 + (2*t^7.901)/g1^12 - g1^6*t^8.05 + 3*g1^24*t^8.199 + 2*g1^10*t^8.416 - (2*t^8.634)/g1^4 + 6*g1^14*t^8.783 - t^4.317/(g1^2*y) - t^6.95/(g1^6*y) + (3*g1^2*t^7.683)/y + (2*g1^6*t^8.05)/y + t^8.267/(g1^8*y) + (g1^10*t^8.416)/y + (4*t^8.634)/(g1^4*y) + (2*g1^14*t^8.783)/y - (t^4.317*y)/g1^2 - (t^6.95*y)/g1^6 + 3*g1^2*t^7.683*y + 2*g1^6*t^8.05*y + (t^8.267*y)/g1^8 + g1^10*t^8.416*y + (4*t^8.634*y)/g1^4 + 2*g1^14*t^8.783*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 |
---|---|---|---|---|---|---|---|---|
148 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5458 | 0.6894 | 0.7916 | [M:[1.0, 0.8656], q:[0.7836, 0.7836], qb:[0.2164, 0.4852], phi:[0.4328]] | t^2.105 + 3*t^2.597 + 2*t^3. + 2*t^3.806 + 2*t^4.21 + 4*t^4.702 + 2*t^5.105 + 5*t^5.194 + 4*t^5.597 + 2*t^5.911 - t^6. - t^4.298/y - t^4.298*y | detail | |
150 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 0.516 | 0.641 | 0.805 | [M:[1.0], q:[0.8, 0.8], qb:[0.2, 0.6], phi:[0.4]] | 3*t^2.4 + 2*t^3. + t^3.6 + 2*t^4.2 + 7*t^4.8 + 4*t^5.4 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 129/250, c: 641/1000, M1: 1, q1: 4/5, q2: 4/5, qb1: 1/5, qb2: 3/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
60 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.628 | 0.7573 | 0.8293 | [M:[0.7035], q:[0.8228, 0.8228], qb:[0.4737, 0.4628], phi:[0.3545]] | t^2.11 + t^2.127 + t^2.81 + t^3.84 + 2*t^3.857 + t^3.873 + t^3.89 + t^3.906 + t^4.221 + t^4.237 + t^4.254 + t^4.92 + 2*t^4.937 + t^5.62 + t^5.951 + 2*t^5.967 + t^5.984 - t^6. - t^4.063/y - t^4.063*y | detail |