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 |
---|---|---|---|---|---|---|---|---|---|
79529 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ | 2.4052 | 2.5481 | 0.9439 | [X:[], M:[0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5714, 0.5714], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, 0], [0, 0]], q:[[-1, 0], [1, 0]], qb:[], phi:[], S:[[0, -1], [0, 1]], Sb:[], A:[], Ab:[]] | 2 | {a: 825/343, c: 874/343, M1: 6/7, M2: 6/7, q1: 4/7, q2: 4/7, S1: 4/7, S2: 4/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$ | ${}M_{2}S_{1}^{2}$, ${ }M_{2}S_{2}^{2}$ | -3 | 2*t^2.571 + 2*t^3.429 + 9*t^5.143 - 3*t^6. + 15*t^6.857 + 2*t^7.714 + 28*t^8.571 - (2*t^4.714)/y - (2*t^7.286)/y - (7*t^8.143)/y - 2*t^4.714*y - 2*t^7.286*y - 7*t^8.143*y | 2*t^2.571 + t^3.429/g2^2 + g2^2*t^3.429 + 3*t^5.143 + t^5.143/g2 + t^5.143/(g1^2*g2) + (g1^2*t^5.143)/g2 + g2*t^5.143 + (g2*t^5.143)/g1^2 + g1^2*g2*t^5.143 - 3*t^6. - t^6./g1^2 - g1^2*t^6. + t^6./g2^2 + g2^2*t^6. + 5*t^6.857 + t^6.857/g1^2 + g1^2*t^6.857 + (2*t^6.857)/g2^4 + (2*t^6.857)/g2^2 + 2*g2^2*t^6.857 + 2*g2^4*t^6.857 + 4*t^7.714 - t^7.714/g2 - g2*t^7.714 - 4*t^8.571 - t^8.571/g1^2 - g1^2*t^8.571 + (2*t^8.571)/g2^3 + (2*t^8.571)/(g1^2*g2^3) + (2*g1^2*t^8.571)/g2^3 + t^8.571/g2^2 + (4*t^8.571)/g2 + (3*t^8.571)/(g1^2*g2) + (3*g1^2*t^8.571)/g2 + 4*g2*t^8.571 + (3*g2*t^8.571)/g1^2 + 3*g1^2*g2*t^8.571 + g2^2*t^8.571 + 2*g2^3*t^8.571 + (2*g2^3*t^8.571)/g1^2 + 2*g1^2*g2^3*t^8.571 - t^4.714/(g2*y) - (g2*t^4.714)/y - t^7.286/(g2*y) - (g2*t^7.286)/y + t^8.143/y - (2*t^8.143)/(g2^3*y) - (2*t^8.143)/(g2*y) - (2*g2*t^8.143)/y - (2*g2^3*t^8.143)/y - (t^4.714*y)/g2 - g2*t^4.714*y - (t^7.286*y)/g2 - g2*t^7.286*y + t^8.143*y - (2*t^8.143*y)/g2^3 - (2*t^8.143*y)/g2 - 2*g2*t^8.143*y - 2*g2^3*t^8.143*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 |
---|---|---|---|---|---|---|---|---|
79567 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }M_{3}S_{1}^{2}$ | 2.4186 | 2.5716 | 0.9405 | [X:[], M:[0.8571, 0.8571, 0.8374], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5813, 0.5616], Sb:[], A:[], Ab:[]] | t^2.512 + 2*t^2.571 + t^3.369 + t^5.024 + 2*t^5.084 + 3*t^5.113 + 3*t^5.143 + 3*t^5.172 + t^5.881 + t^5.941 - 5*t^6. - t^4.685/y - t^4.744/y - t^4.685*y - t^4.744*y | detail | |
79575 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }S_{2}^{2}X_{1}$ | 1.7968 | 1.9129 | 0.9393 | [X:[1.4286], M:[0.8571, 0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.8571, 0.2857], Sb:[], A:[], Ab:[]] | 2*t^2.571 + t^3.429 + 3*t^4.286 + 6*t^5.143 + 2*t^6. - t^3.857/y - (2*t^5.571)/y - t^3.857*y - 2*t^5.571*y | detail | {a: 9861/5488, c: 5249/2744, X1: 10/7, M1: 6/7, M2: 6/7, q1: 4/7, q2: 4/7, S1: 6/7, S2: 2/7} |
79533 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.3516 | 2.4944 | 0.9427 | [X:[], M:[0.8571, 0.8571], q:[0.7013, 0.4416], qb:[], phi:[], S:[0.5974, 0.5455], Sb:[], A:[], Ab:[]] | 2*t^2.571 + t^3.273 + t^3.584 + t^4.286 + t^4.442 + t^5.065 + 3*t^5.143 + 2*t^5.844 - 2*t^6. - t^4.636/y - t^4.792/y - t^4.636*y - t^4.792*y | detail | {a: 2535/1078, c: 2689/1078, M1: 6/7, M2: 6/7, q1: 54/77, q2: 34/77, S1: 46/77, S2: 6/11} |
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 |
---|---|---|---|---|---|---|---|---|---|
79488 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ | 2.3927 | 2.5266 | 0.947 | [X:[], M:[0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5714, 0.5714], Sb:[], A:[], Ab:[]] | t^2.571 + 3*t^3.429 + 7*t^5.143 - 4*t^6. - (2*t^4.714)/y - 2*t^4.714*y | detail | {a: 13131/5488, c: 6933/2744, M1: 6/7, q1: 4/7, q2: 4/7, S1: 4/7, S2: 4/7} |