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 |
---|---|---|---|---|---|---|---|---|---|
47290 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ | 0.6661 | 0.8451 | 0.7882 | [M:[0.8812, 1.2203, 0.7797, 0.6782, 0.7797], q:[0.6782, 0.4406], qb:[0.3391, 0.7797], phi:[0.4406]] | [M:[[-4], [-1], [1], [6], [1]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | t^2.035 + 2*t^2.339 + 2*t^2.644 + t^3.052 + 2*t^3.356 + t^3.661 + t^4.069 + 4*t^4.374 + 6*t^4.678 + 3*t^4.983 + t^5.087 + 2*t^5.287 + 5*t^5.391 + 6*t^5.696 + 2*t^6. + 2*t^6.104 - 2*t^6.304 + 6*t^6.408 - t^6.609 + 10*t^6.713 + 8*t^7.017 + t^7.121 + 3*t^7.322 + 7*t^7.426 + t^7.626 + 13*t^7.73 + 3*t^7.931 + 9*t^8.035 + 2*t^8.138 - 4*t^8.339 + 9*t^8.443 - 7*t^8.644 + 17*t^8.747 - 5*t^8.948 - t^4.322/y - t^6.356/y - t^6.661/y - (2*t^6.965)/y + (2*t^7.374)/y + (5*t^7.678)/y + (5*t^7.983)/y + t^8.087/y + (2*t^8.287)/y + (3*t^8.391)/y + (6*t^8.696)/y - t^4.322*y - t^6.356*y - t^6.661*y - 2*t^6.965*y + 2*t^7.374*y + 5*t^7.678*y + 5*t^7.983*y + t^8.087*y + 2*t^8.287*y + 3*t^8.391*y + 6*t^8.696*y | g1^6*t^2.035 + 2*g1*t^2.339 + (2*t^2.644)/g1^4 + g1^9*t^3.052 + 2*g1^4*t^3.356 + t^3.661/g1 + g1^12*t^4.069 + 4*g1^7*t^4.374 + 6*g1^2*t^4.678 + (3*t^4.983)/g1^3 + g1^15*t^5.087 + (2*t^5.287)/g1^8 + 5*g1^10*t^5.391 + 6*g1^5*t^5.696 + 2*t^6. + 2*g1^18*t^6.104 - (2*t^6.304)/g1^5 + 6*g1^13*t^6.408 - t^6.609/g1^10 + 10*g1^8*t^6.713 + 8*g1^3*t^7.017 + g1^21*t^7.121 + (3*t^7.322)/g1^2 + 7*g1^16*t^7.426 + t^7.626/g1^7 + 13*g1^11*t^7.73 + (3*t^7.931)/g1^12 + 9*g1^6*t^8.035 + 2*g1^24*t^8.138 - 4*g1*t^8.339 + 9*g1^19*t^8.443 - (7*t^8.644)/g1^4 + 17*g1^14*t^8.747 - (5*t^8.948)/g1^9 - t^4.322/(g1^2*y) - (g1^4*t^6.356)/y - t^6.661/(g1*y) - (2*t^6.965)/(g1^6*y) + (2*g1^7*t^7.374)/y + (5*g1^2*t^7.678)/y + (5*t^7.983)/(g1^3*y) + (g1^15*t^8.087)/y + (2*t^8.287)/(g1^8*y) + (3*g1^10*t^8.391)/y + (6*g1^5*t^8.696)/y - (t^4.322*y)/g1^2 - g1^4*t^6.356*y - (t^6.661*y)/g1 - (2*t^6.965*y)/g1^6 + 2*g1^7*t^7.374*y + 5*g1^2*t^7.678*y + (5*t^7.983*y)/g1^3 + g1^15*t^8.087*y + (2*t^8.287*y)/g1^8 + 3*g1^10*t^8.391*y + 6*g1^5*t^8.696*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 |
---|---|---|---|---|---|---|---|---|
55018 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}^{2}$ + ${ }M_{1}X_{1}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.5039 | 0.5977 | 0.8431 | [X:[1.3333, 1.3333], M:[0.6667, 1.1667, 0.8333, 1.0, 0.8333], q:[1.0, 0.3333], qb:[0.5, 0.8333], phi:[0.3333]] | 2*t^2.5 + t^3. + t^3.5 + 3*t^4. + 3*t^5. - t^4./y - t^4.*y | detail | {a: 129/256, c: 153/256, X1: 4/3, X2: 4/3, M1: 2/3, M2: 7/6, M3: 5/6, M4: 1, M5: 5/6, q1: 1, q2: 1/3, qb1: 1/2, qb2: 5/6, phi1: 1/3} |
55436 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6837 | 0.877 | 0.7797 | [M:[0.8833, 1.2208, 0.7792, 0.6751, 0.7792, 0.7792], q:[0.6751, 0.4416], qb:[0.3376, 0.7792], phi:[0.4416]] | t^2.025 + 3*t^2.338 + 2*t^2.65 + t^3.038 + 2*t^3.35 + t^4.051 + 5*t^4.363 + 9*t^4.675 + 5*t^4.987 + t^5.063 + 2*t^5.3 + 6*t^5.376 + 7*t^5.688 - t^4.325/y - t^4.325*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 |
---|---|---|---|---|---|---|---|---|---|
46638 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6485 | 0.8133 | 0.7973 | [M:[0.8791, 1.2198, 0.7802, 0.6813], q:[0.6813, 0.4396], qb:[0.3407, 0.7802], phi:[0.4396]] | t^2.044 + t^2.341 + 2*t^2.637 + t^3.066 + 2*t^3.363 + 2*t^3.659 + t^4.088 + 3*t^4.385 + 4*t^4.681 + t^4.978 + t^5.11 + 2*t^5.275 + 4*t^5.407 + 5*t^5.703 + 2*t^6. - t^4.319/y - t^4.319*y | detail |