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 |
---|---|---|---|---|---|---|---|---|---|
8952 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ | 1.1647 | 1.3044 | 0.8929 | [X:[1.6175], M:[1.1474, 1.0438, 0.9562, 0.8686, 0.765, 1.0438], q:[0.3825, 0.4701], qb:[], phi:[0.1912]] | [X:[[2]], M:[[-6], [5], [-5], [-15], [-4], [5]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{4}$, ${ }\phi_{1}^{8}$, ${ }X_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{4}$, ${ }M_{6}\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}\phi_{1}^{4}$ | ${}$ | -2 | 2*t^2.29 + t^2.61 + 2*t^3.13 + t^3.44 + t^4.02 + t^4.28 + t^4.54 + 3*t^4.59 + t^4.85 + 2*t^4.9 + t^5.21 + 4*t^5.43 + 3*t^5.74 - 2*t^6. + t^6.05 + 2*t^6.26 + t^6.31 + 3*t^6.57 + t^6.62 + t^6.84 + 5*t^6.88 + 4*t^7.15 + 3*t^7.2 + t^7.46 + 2*t^7.51 + 2*t^7.67 + 5*t^7.72 + t^7.82 + t^7.98 + 6*t^8.03 - t^8.25 - t^8.29 + 3*t^8.34 + 4*t^8.56 - t^8.61 + t^8.65 + t^8.82 + 2*t^8.87 + t^8.92 + t^8.29/y^2 - (2*t^8.87)/y^2 - t^3.57/y - t^4.72/y - (2*t^5.87)/y - t^6.18/y - (2*t^6.71)/y - (3*t^7.02)/y + t^7.28/y - t^7.33/y + t^7.59/y - (2*t^7.85)/y + (2*t^7.9)/y - (4*t^8.16)/y + (5*t^8.43)/y - (2*t^8.47)/y + (4*t^8.74)/y - t^8.79/y - t^3.57*y - t^4.72*y - 2*t^5.87*y - t^6.18*y - 2*t^6.71*y - 3*t^7.02*y + t^7.28*y - t^7.33*y + t^7.59*y - 2*t^7.85*y + 2*t^7.9*y - 4*t^8.16*y + 5*t^8.43*y - 2*t^8.47*y + 4*t^8.74*y - t^8.79*y + t^8.29*y^2 - 2*t^8.87*y^2 | (2*t^2.29)/g1^4 + t^2.61/g1^15 + 2*g1^5*t^3.13 + t^3.44/g1^6 + t^4.02/g1^7 + g1^3*t^4.28 + g1^13*t^4.54 + (3*t^4.59)/g1^8 + g1^2*t^4.85 + (2*t^4.9)/g1^19 + t^5.21/g1^30 + 4*g1*t^5.43 + (3*t^5.74)/g1^10 - 2*t^6. + t^6.05/g1^21 + 2*g1^10*t^6.26 + t^6.31/g1^11 + (3*t^6.57)/g1 + t^6.62/g1^22 + g1^9*t^6.84 + (5*t^6.88)/g1^12 + (4*t^7.15)/g1^2 + (3*t^7.2)/g1^23 + t^7.46/g1^13 + (2*t^7.51)/g1^34 + 2*g1^18*t^7.67 + (5*t^7.72)/g1^3 + t^7.82/g1^45 + g1^7*t^7.98 + (6*t^8.03)/g1^14 - g1^17*t^8.25 - t^8.29/g1^4 + (3*t^8.34)/g1^25 + 4*g1^6*t^8.56 - t^8.61/g1^15 + t^8.65/g1^36 + g1^16*t^8.82 + (2*t^8.87)/g1^5 + t^8.92/g1^26 + t^8.29/(g1^4*y^2) - (2*t^8.87)/(g1^5*y^2) - t^3.57/(g1*y) - t^4.72/(g1^3*y) - (2*t^5.87)/(g1^5*y) - t^6.18/(g1^16*y) - (2*g1^4*t^6.71)/y - (3*t^7.02)/(g1^7*y) + (g1^3*t^7.28)/y - t^7.33/(g1^18*y) + t^7.59/(g1^8*y) - (2*g1^2*t^7.85)/y + (2*t^7.9)/(g1^19*y) - (4*t^8.16)/(g1^9*y) + (5*g1*t^8.43)/y - (2*t^8.47)/(g1^20*y) + (4*t^8.74)/(g1^10*y) - t^8.79/(g1^31*y) - (t^3.57*y)/g1 - (t^4.72*y)/g1^3 - (2*t^5.87*y)/g1^5 - (t^6.18*y)/g1^16 - 2*g1^4*t^6.71*y - (3*t^7.02*y)/g1^7 + g1^3*t^7.28*y - (t^7.33*y)/g1^18 + (t^7.59*y)/g1^8 - 2*g1^2*t^7.85*y + (2*t^7.9*y)/g1^19 - (4*t^8.16*y)/g1^9 + 5*g1*t^8.43*y - (2*t^8.47*y)/g1^20 + (4*t^8.74*y)/g1^10 - (t^8.79*y)/g1^31 + (t^8.29*y^2)/g1^4 - (2*t^8.87*y^2)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
9066 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{4}\phi_{1}^{4}$ | 1.1119 | 1.2468 | 0.8918 | [X:[1.5789], M:[1.2632, 0.9474, 1.0526, 1.1579, 0.8421, 0.9474], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | 2*t^2.53 + 2*t^2.84 + t^3.47 + 2*t^3.79 + t^4.11 + t^4.42 + t^4.74 + 3*t^5.05 + 4*t^5.37 + 2*t^5.68 - t^3.63/y - t^4.89/y - t^3.63*y - t^4.89*y | detail | {a: 122025/109744, c: 68413/54872, X1: 30/19, M1: 24/19, M2: 18/19, M3: 20/19, M4: 22/19, M5: 16/19, M6: 18/19, q1: 8/19, q2: 6/19, phi1: 4/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
8881 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}q_{1}q_{2}$ | 1.1692 | 1.3125 | 0.8908 | [X:[1.6206], M:[1.1383, 1.0514, 0.9486, 0.8459, 0.7589], q:[0.3794, 0.4822], qb:[], phi:[0.1897]] | 2*t^2.28 + t^2.54 + t^2.85 + t^3.15 + t^3.42 + t^3.98 + t^4.29 + 3*t^4.55 + t^4.6 + 2*t^4.81 + t^4.86 + t^5.08 + 2*t^5.12 + t^5.38 + 2*t^5.43 + 3*t^5.69 + t^5.95 - t^6. - t^3.57/y - t^4.71/y - (2*t^5.85)/y - t^3.57*y - t^4.71*y - 2*t^5.85*y | detail |