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 |
---|---|---|---|---|---|---|---|---|---|
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:[]] | [X:[], M:[[0, 0]], q:[[-1, 0], [1, 0]], qb:[], phi:[], S:[[0, -1], [0, 1]], Sb:[], A:[], Ab:[]] | 2 | {a: 13131/5488, c: 6933/2744, M1: 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 |
---|---|---|---|---|
${}M_{1}$, ${ }S_{1}^{2}$, ${ }S_{1}S_{2}$, ${ }S_{2}^{2}$, ${ }S_{1}^{2}$, ${ }S_{2}^{2}$, ${ }M_{1}^{2}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$ | ${}$ | -4 | t^2.571 + 3*t^3.429 + 7*t^5.143 - 4*t^6. + 18*t^6.857 - 7*t^7.714 + 38*t^8.571 - (2*t^4.714)/y - (10*t^8.143)/y - 2*t^4.714*y - 10*t^8.143*y | t^2.571 + t^3.429 + t^3.429/g2^2 + g2^2*t^3.429 + 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 - 2*t^6. - t^6./g1^2 - g1^2*t^6. + 6*t^6.857 + t^6.857/g1^2 + g1^2*t^6.857 + (2*t^6.857)/g2^4 + (3*t^6.857)/g2^2 + 3*g2^2*t^6.857 + 2*g2^4*t^6.857 + t^7.714 - (2*t^7.714)/g2 - t^7.714/(g1^2*g2) - (g1^2*t^7.714)/g2 - 2*g2*t^7.714 - (g2*t^7.714)/g1^2 - g1^2*g2*t^7.714 + (2*t^8.571)/g2^3 + (2*t^8.571)/(g1^2*g2^3) + (2*g1^2*t^8.571)/g2^3 + (5*t^8.571)/g2 + (4*t^8.571)/(g1^2*g2) + (4*g1^2*t^8.571)/g2 + 5*g2*t^8.571 + (4*g2*t^8.571)/g1^2 + 4*g1^2*g2*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 - (2*t^8.143)/(g2^3*y) - (3*t^8.143)/(g2*y) - (3*g2*t^8.143)/y - (2*g2^3*t^8.143)/y - (t^4.714*y)/g2 - g2*t^4.714*y - (2*t^8.143*y)/g2^3 - (3*t^8.143*y)/g2 - 3*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 |
---|---|---|---|---|---|---|---|---|
79525 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{1}M_{2}$ | 2.3801 | 2.5051 | 0.9501 | [X:[], M:[0.8571, 1.1429], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.5714, 0.5714], Sb:[], A:[], Ab:[]] | 4*t^3.429 + 6*t^5.143 - 7*t^6. - (2*t^4.714)/y - 2*t^4.714*y | detail | {a: 933/392, c: 491/196, M1: 6/7, M2: 8/7, q1: 4/7, q2: 4/7, S1: 4/7, S2: 4/7} |
79529 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}S_{2}$ | 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:[]] | 2*t^2.571 + 2*t^3.429 + 9*t^5.143 - 3*t^6. - (2*t^4.714)/y - 2*t^4.714*y | detail | {a: 825/343, c: 874/343, M1: 6/7, M2: 6/7, q1: 4/7, q2: 4/7, S1: 4/7, S2: 4/7} |
79526 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }q_{1}q_{2}S_{1}$ + ${ }S_{2}^{2}X_{1}$ | 1.7843 | 1.8914 | 0.9434 | [X:[1.4286], M:[0.8571], q:[0.5714, 0.5714], qb:[], phi:[], S:[0.8571, 0.2857], Sb:[], A:[], Ab:[]] | t^2.571 + 2*t^3.429 + 3*t^4.286 + 4*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: 612/343, c: 2595/1372, X1: 10/7, M1: 6/7, q1: 4/7, q2: 4/7, S1: 6/7, S2: 2/7} |
79507 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}S_{2}$ + ${ }q_{1}^{2}S_{1}$ | 2.339 | 2.4729 | 0.9458 | [X:[], M:[0.8571], q:[0.7013, 0.4416], qb:[], phi:[], S:[0.5974, 0.5455], Sb:[], A:[], Ab:[]] | t^2.571 + t^3.273 + t^3.429 + t^3.584 + t^4.286 + t^4.442 + t^5.065 + t^5.143 + t^5.844 - t^6. - t^4.636/y - t^4.792/y - t^4.636*y - t^4.792*y | detail | {a: 141201/60368, c: 74643/30184, M1: 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 |
---|---|---|---|---|---|---|---|---|---|
79474 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ | 2.4061 | 2.5298 | 0.9511 | [X:[], M:[0.7345], q:[0.6327, 0.6327], qb:[], phi:[], S:[0.5612, 0.5612], Sb:[], A:[], Ab:[]] | t^2.204 + 3*t^3.367 + t^4.407 + 6*t^5.48 + 3*t^5.571 - 7*t^6. - (2*t^4.684)/y - 2*t^4.684*y | detail |