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 |
---|---|---|---|---|---|---|---|---|---|
79450 | SO5a2nf1 | ${}M_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ | 2.3079 | 2.36 | 0.9779 | [X:[], M:[1.0], q:[0.5], qb:[], phi:[], S:[], Sb:[], A:[0.5833, 0.5833], Ab:[]] | [X:[], M:[[0]], q:[[0]], qb:[], phi:[], S:[], Sb:[], A:[[-1], [1]], Ab:[]] | 1 | {a: 3545/1536, c: 3625/1536, M1: 1, q1: 1/2, A1: 7/12, A2: 7/12} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }A_{1}A_{2}$, ${ }A_{1}^{2}$, ${ }A_{2}^{2}$, ${ }A_{1}^{2}$, ${ }A_{2}^{2}$, ${ }A_{1}A_{2}q_{1}$, ${ }A_{1}^{2}q_{1}$, ${ }A_{2}^{2}q_{1}$, ${ }A_{1}^{2}q_{1}$, ${ }A_{2}^{2}q_{1}$ | ${}$ | -3 | t^3. + 3*t^3.5 + 3*t^5. - 3*t^6. + 6*t^6.5 + 2*t^6.75 + 12*t^7. - 3*t^7.5 - 2*t^7.75 + 2*t^8.25 + 14*t^8.5 - (2*t^4.75)/y - (2*t^6.25)/y + (2*t^7.25)/y - (2*t^7.75)/y - t^8./y - (10*t^8.25)/y + (2*t^8.75)/y - 2*t^4.75*y - 2*t^6.25*y + 2*t^7.25*y - 2*t^7.75*y - t^8.*y - 10*t^8.25*y + 2*t^8.75*y | t^3. + t^3.5 + t^3.5/g1^2 + g1^2*t^3.5 + t^5. + t^5./g1^2 + g1^2*t^5. - t^6. - t^6./g1^2 - g1^2*t^6. + 2*t^6.5 + (2*t^6.5)/g1^2 + 2*g1^2*t^6.5 + t^6.75/g1 + g1*t^6.75 + 4*t^7. + (2*t^7.)/g1^4 + (2*t^7.)/g1^2 + 2*g1^2*t^7. + 2*g1^4*t^7. - t^7.5 - t^7.5/g1^2 - g1^2*t^7.5 - t^7.75/g1 - g1*t^7.75 + t^8.25/g1 + g1*t^8.25 + 6*t^8.5 + t^8.5/g1^4 + (3*t^8.5)/g1^2 + 3*g1^2*t^8.5 + g1^4*t^8.5 - t^4.75/(g1*y) - (g1*t^4.75)/y - t^6.25/(g1*y) - (g1*t^6.25)/y + t^7.25/(g1*y) + (g1*t^7.25)/y - t^7.75/(g1*y) - (g1*t^7.75)/y - t^8./y - (2*t^8.25)/(g1^3*y) - (3*t^8.25)/(g1*y) - (3*g1*t^8.25)/y - (2*g1^3*t^8.25)/y + t^8.75/(g1*y) + (g1*t^8.75)/y - (t^4.75*y)/g1 - g1*t^4.75*y - (t^6.25*y)/g1 - g1*t^6.25*y + (t^7.25*y)/g1 + g1*t^7.25*y - (t^7.75*y)/g1 - g1*t^7.75*y - t^8.*y - (2*t^8.25*y)/g1^3 - (3*t^8.25*y)/g1 - 3*g1*t^8.25*y - 2*g1^3*t^8.25*y + (t^8.75*y)/g1 + g1*t^8.75*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 |
---|---|---|---|---|---|---|---|---|
79466 | ${}M_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }A_{1}^{2}q_{1}$ | 2.1126 | 2.1647 | 0.9759 | [X:[], M:[1.0], q:[0.5], qb:[], phi:[], S:[], Sb:[], A:[0.75, 0.4167], Ab:[]] | t^2.5 + t^3. + t^3.5 + t^4. + t^4.5 + 2*t^5. + 2*t^5.5 + 2*t^6. - t^4.25/y - t^5.25/y - t^5.75/y - t^4.25*y - t^5.25*y - t^5.75*y | detail | {a: 3245/1536, c: 3325/1536, M1: 1, q1: 1/2, A1: 3/4, A2: 5/12} |
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 |
---|---|---|---|---|---|---|---|---|---|
79444 | SO5a2nf1 | ${}M_{1}q_{1}^{2}$ | 2.345 | 2.3996 | 0.9772 | [X:[], M:[0.7573], q:[0.6213], qb:[], phi:[], S:[], Sb:[], A:[0.5631, 0.5631], Ab:[]] | t^2.272 + 3*t^3.379 + t^4.544 + 3*t^5.243 + 3*t^5.651 - 4*t^6. - (2*t^4.689)/y - 2*t^4.689*y | detail |