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 |
---|---|---|---|---|---|---|---|---|---|
79600 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ | 2.3086 | 2.4648 | 0.9366 | [X:[], M:[0.8333, 1.0], q:[0.5, 0.5], qb:[], phi:[], S:[0.5, 0.6667], Sb:[], A:[], Ab:[]] | [X:[], M:[[0], [0]], q:[[-1], [1]], qb:[], phi:[], S:[[0], [0]], Sb:[], A:[], Ab:[]] | 1 | {a: 591/256, c: 631/256, M1: 5/6, M2: 1, q1: 1/2, q2: 1/2, S1: 1/2, S2: 2/3} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{1}M_{2}$ | ${}q_{1}q_{2}S_{1}^{2}$, ${ 2}S_{1}^{4}$ | 0 | t^2.5 + 2*t^3. + t^4. + 3*t^4.5 + 4*t^5. + t^5.5 + 5*t^6.5 + 5*t^7. + 7*t^7.5 + 12*t^8. + 4*t^8.5 - t^4.5/y - t^5./y - (3*t^7.5)/y - (3*t^8.)/y - t^4.5*y - t^5.*y - 3*t^7.5*y - 3*t^8.*y | t^2.5 + 2*t^3. + t^4. + t^4.5 + t^4.5/g1^2 + g1^2*t^4.5 + 2*t^5. + t^5./g1^2 + g1^2*t^5. + t^5.5 + 2*t^6. - t^6./g1^2 - g1^2*t^6. + 3*t^6.5 + t^6.5/g1^2 + g1^2*t^6.5 + 5*t^7. + 3*t^7.5 + (2*t^7.5)/g1^2 + 2*g1^2*t^7.5 + 6*t^8. + (3*t^8.)/g1^2 + 3*g1^2*t^8. + 2*t^8.5 + t^8.5/g1^2 + g1^2*t^8.5 - t^4.5/y - t^5./y - (3*t^7.5)/y - (3*t^8.)/y - t^4.5*y - t^5.*y - 3*t^7.5*y - 3*t^8.*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 |
---|---|---|---|---|---|---|---|---|
79676 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.0977 | 2.2539 | 0.9307 | [X:[], M:[0.8333, 1.0], q:[0.75, 0.25], qb:[], phi:[], S:[0.5, 0.6667], Sb:[], A:[], Ab:[]] | t^2.5 + 3*t^3. + t^3.5 + t^4. + 3*t^5. + t^5.5 + 6*t^6. - t^4.5/y - t^5./y - t^4.5*y - t^5.*y | detail | {a: 537/256, c: 577/256, M1: 5/6, M2: 1, q1: 3/4, q2: 1/4, S1: 1/2, S2: 2/3} |
79681 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}^{2}S_{2}$ | 2.2148 | 2.3711 | 0.9341 | [X:[], M:[0.8333, 1.0], q:[0.3333, 0.6667], qb:[], phi:[], S:[0.5, 0.6667], Sb:[], A:[], Ab:[]] | t^2.5 + 2*t^3. + t^3.5 + 2*t^4. + t^4.5 + t^5. + 3*t^5.5 + 3*t^6. - t^4.5/y - t^5./y - t^4.5*y - t^5.*y | detail | {a: 567/256, c: 607/256, M1: 5/6, M2: 1, q1: 1/3, q2: 2/3, S1: 1/2, S2: 2/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
79522 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.4084 | 2.5484 | 0.9451 | [X:[], M:[0.8622, 0.8266], q:[0.5867, 0.5867], qb:[], phi:[], S:[0.5867, 0.5511], Sb:[], A:[], Ab:[]] | t^2.48 + t^2.587 + t^3.306 + t^3.52 + t^4.959 + t^5.066 + 4*t^5.173 + 3*t^5.28 + t^5.786 - 4*t^6. - t^4.653/y - t^4.76/y - t^4.653*y - t^4.76*y | detail |