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 |
---|---|---|---|---|---|---|---|---|---|
79481 | Sp2s2nf1 | ${}q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{2}^{2}$ | 2.3667 | 2.4522 | 0.9651 | [X:[], M:[0.9223], q:[0.7233, 0.7233], qb:[], phi:[], S:[0.5534, 0.5388], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -10]], q:[[-1, 6], [1, 0]], qb:[], phi:[], S:[[0, -6], [0, 5]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }S_{1}S_{2}$, ${ }S_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}^{2}S_{2}$ | ${}$ | -2 | t^2.767 + t^3.277 + t^3.32 + t^4.34 + t^5.534 + 2*t^5.956 - 2*t^6. + t^6.087 + t^6.466 + t^6.51 + 3*t^6.553 + 2*t^6.597 + 2*t^6.641 + t^7.107 + t^7.573 + t^7.616 + t^7.66 + t^8.301 - 2*t^8.68 - 2*t^8.767 + t^8.854 - t^4.616/y - t^4.66/y + t^7.34/y - t^7.427/y - t^7.849/y - (2*t^7.893)/y - (3*t^7.937)/y - (2*t^7.981)/y - t^8.956/y - t^4.616*y - t^4.66*y + t^7.34*y - t^7.427*y - t^7.849*y - 2*t^7.893*y - 3*t^7.937*y - 2*t^7.981*y - t^8.956*y | t^2.767/g2^10 + t^3.277/g2 + t^3.32/g2^12 + g2^6*t^4.34 + t^5.534/g2^20 + g1^2*g2^5*t^5.956 + (g2^17*t^5.956)/g1^2 - 2*t^6. + t^6.087/g2^22 + g2^20*t^6.466 + g2^9*t^6.51 + (3*t^6.553)/g2^2 + (2*t^6.597)/g2^13 + (2*t^6.641)/g2^24 + t^7.107/g2^4 + g2^16*t^7.573 + g2^5*t^7.616 + t^7.66/g2^6 + t^8.301/g2^30 - g1^2*g2^6*t^8.68 - (g2^18*t^8.68)/g1^2 - (2*t^8.767)/g2^10 + t^8.854/g2^32 - (g2^5*t^4.616)/y - t^4.66/(g2^6*y) + (g2^6*t^7.34)/y - t^7.427/(g2^16*y) - (g2^15*t^7.849)/y - (2*g2^4*t^7.893)/y - (3*t^7.937)/(g2^7*y) - (2*t^7.981)/(g2^18*y) - (g2^11*t^8.956)/y - g2^5*t^4.616*y - (t^4.66*y)/g2^6 + g2^6*t^7.34*y - (t^7.427*y)/g2^16 - g2^15*t^7.849*y - 2*g2^4*t^7.893*y - (3*t^7.937*y)/g2^7 - (2*t^7.981*y)/g2^18 - g2^11*t^8.956*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 |
---|---|---|---|---|---|---|---|---|
79524 | ${}q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{2}^{2}$ + ${ }M_{1}^{2}$ | 2.3514 | 2.4389 | 0.9641 | [X:[], M:[1.0], q:[0.7, 0.7], qb:[], phi:[], S:[0.6, 0.5], Sb:[], A:[], Ab:[]] | t^3. + t^3.3 + t^3.6 + t^4.2 + 2*t^5.7 - t^4.5/y - t^4.8/y - t^4.5*y - t^4.8*y | detail | {a: 37623/16000, c: 39023/16000, M1: 1, q1: 7/10, q2: 7/10, S1: 3/5, S2: 1/2} |
79520 | ${}q_{1}q_{2}S_{1}$ + ${ }M_{1}S_{2}^{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.3773 | 2.4714 | 0.9619 | [X:[], M:[0.9411, 0.8707], q:[0.7177, 0.7177], qb:[], phi:[], S:[0.5647, 0.5295], Sb:[], A:[], Ab:[]] | t^2.612 + t^2.823 + t^3.282 + t^4.306 + t^5.224 + t^5.435 + t^5.647 + 3*t^5.894 - 2*t^6. - t^4.588/y - t^4.694/y - t^4.588*y - t^4.694*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 |
---|---|---|---|---|---|---|---|---|---|
79471 | Sp2s2nf1 | ${}q_{1}q_{2}S_{1}$ | 2.3603 | 2.4426 | 0.9663 | [X:[], M:[], q:[0.718, 0.718], qb:[], phi:[], S:[0.5641, 0.5299], Sb:[], A:[], Ab:[]] | t^3.18 + t^3.282 + t^3.384 + t^4.308 + 2*t^5.898 - 2*t^6. - t^4.59/y - t^4.692/y - t^4.59*y - t^4.692*y | detail |