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 |
---|---|---|---|---|---|---|---|---|---|
79487 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ + ${ }q_{1}q_{2}$ | 2.1094 | 2.1094 | 1 | [X:[], M:[], q:[0.75, 1.25], qb:[], phi:[], S:[0.5, 0.5], Sb:[], A:[], Ab:[]] | [X:[], M:[], q:[[-1], [1]], qb:[], phi:[], S:[[-2], [2]], Sb:[], A:[], Ab:[]] | 1 | {a: 135/64, c: 135/64, q1: 3/4, q2: 5/4, S1: 1/2, S2: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}S_{1}^{2}$, ${ }S_{1}S_{2}$, ${ }S_{2}^{2}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$ | ${2}S_{1}^{4}$, ${ 2}S_{1}^{3}S_{2}$, ${ 4}S_{1}^{2}S_{2}^{2}$, ${ 2}S_{1}S_{2}^{3}$, ${ 2}S_{2}^{4}$ | 9 | 3*t^3. + 9*t^6. - (2*t^4.5)/y - (8*t^7.5)/y - 2*t^4.5*y - 8*t^7.5*y | t^3. + t^3./g1^4 + g1^4*t^3. + 3*t^6. + (2*t^6.)/g1^8 + t^6./g1^4 + g1^4*t^6. + 2*g1^8*t^6. - t^4.5/(g1^2*y) - (g1^2*t^4.5)/y - (2*t^7.5)/(g1^6*y) - (2*t^7.5)/(g1^2*y) - (2*g1^2*t^7.5)/y - (2*g1^6*t^7.5)/y - (t^4.5*y)/g1^2 - g1^2*t^4.5*y - (2*t^7.5*y)/g1^6 - (2*t^7.5*y)/g1^2 - 2*g1^2*t^7.5*y - 2*g1^6*t^7.5*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 |
---|---|---|---|---|---|---|---|---|
79508 | ${}q_{1}^{2}S_{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{1}^{2}$ | 2.3714 | 2.4632 | 0.9628 | [X:[], M:[0.8609], q:[0.7373, 0.6931], qb:[], phi:[], S:[0.5695, 0.5254], Sb:[], A:[], Ab:[]] | t^2.583 + t^3.152 + t^3.285 + t^4.291 + t^5.165 + 2*t^5.735 + t^5.868 - t^6. - t^4.576/y - t^4.709/y - t^4.576*y - t^4.709*y | detail | |
79506 | ${}q_{1}^{2}S_{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{2}^{2}$ | 2.3666 | 2.4521 | 0.9651 | [X:[], M:[0.9199], q:[0.73, 0.718], qb:[], phi:[], S:[0.552, 0.54], Sb:[], A:[], Ab:[]] | t^2.76 + t^3.276 + t^3.312 + t^4.344 + t^5.52 + t^5.928 - t^6. - t^4.62/y - t^4.656/y - t^4.62*y - t^4.656*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 |
---|---|---|---|---|---|---|---|---|---|
79437 | SO5a2nf0 | ${}$ | 2.1094 | 2.1094 | 1 | [X:[], M:[], q:[], qb:[], phi:[], S:[], Sb:[], A:[0.5, 0.5], Ab:[]] | 3*t^3. + 9*t^6. - (2*t^4.5)/y - 2*t^4.5*y | detail | {a: 135/64, c: 135/64, A1: 1/2, A2: 1/2} |
79440 | SO5a2nf1 | ${}q_{1}^{2}$ | 2.1094 | 2.1094 | 1 | [X:[], M:[], q:[1.0], qb:[], phi:[], S:[], Sb:[], A:[0.5, 0.5], Ab:[]] | 3*t^3. + 9*t^6. - (2*t^4.5)/y - 2*t^4.5*y | detail | {a: 135/64, c: 135/64, q1: 1, A1: 1/2, A2: 1/2} |
28488 | Sp2adj2nf0 | ${}$ | 2.1094 | 2.1094 | 1 | [X:[], M:[], q:[], qb:[], phi:[0.5, 0.5]] | 3*t^3. + 9*t^6. - (2*t^4.5)/y - 2*t^4.5*y | detail | {a: 135/64, c: 135/64, phi1: 1/2, phi2: 1/2} |
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 |
---|---|---|---|---|---|---|---|---|---|
79470 | Sp2s2nf1 | ${}q_{1}^{2}S_{2}$ | 2.3747 | 2.4723 | 0.9605 | [X:[], M:[], q:[0.7181, 0.6127], qb:[], phi:[], S:[0.5478, 0.5637], Sb:[], A:[], Ab:[]] | t^3.287 + t^3.335 + t^3.382 + t^3.993 + t^5.32 + t^5.367 + t^5.636 - 2*t^6. - t^4.643/y - t^4.691/y - t^4.643*y - t^4.691*y | detail |