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 |
---|---|---|---|---|---|---|---|---|---|
45971 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5838 | 0.6909 | 0.845 | [X:[1.4275], M:[0.7156, 0.7156, 0.8588], q:[0.4275, 0.8569], qb:[0.8569, 0.7137], phi:[0.2863]] | [X:[[0, 2]], M:[[1, -3], [-1, -2], [0, -3]], q:[[0, 2], [-1, 1]], qb:[[1, 0], [0, 1]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$ | ${}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | -3 | 2*t^2.147 + t^2.576 + t^3.424 + 2*t^4.282 + 3*t^4.294 + 2*t^4.712 + 2*t^4.723 + t^5.141 + t^5.153 - 3*t^6. + 4*t^6.441 + t^6.847 + 3*t^6.859 + 3*t^6.87 + 2*t^7.288 + 2*t^7.299 + t^7.706 + t^7.718 + t^7.729 - 6*t^8.147 - 3*t^8.576 + 5*t^8.588 - t^3.859/y - (2*t^6.006)/y - t^6.435/y + t^7.282/y + t^7.294/y + (2*t^7.712)/y + (2*t^7.723)/y - (3*t^8.153)/y + (2*t^8.571)/y - (2*t^8.582)/y - t^3.859*y - 2*t^6.006*y - t^6.435*y + t^7.282*y + t^7.294*y + 2*t^7.712*y + 2*t^7.723*y - 3*t^8.153*y + 2*t^8.571*y - 2*t^8.582*y | (g1*t^2.147)/g2^3 + t^2.147/(g1*g2^2) + t^2.576/g2^3 + g2^3*t^3.424 + 2*g2^2*t^4.282 + (g1^2*t^4.294)/g2^6 + t^4.294/g2^5 + t^4.294/(g1^2*g2^4) + g1*g2*t^4.712 + (g2^2*t^4.712)/g1 + (g1*t^4.723)/g2^6 + t^4.723/(g1*g2^5) + g2*t^5.141 + t^5.153/g2^6 - 3*t^6. + (g1^3*t^6.441)/g2^9 + (g1*t^6.441)/g2^8 + t^6.441/(g1*g2^7) + t^6.441/(g1^3*g2^6) + g2^6*t^6.847 + t^6.859/g1^2 + (g1^2*t^6.859)/g2^2 + t^6.859/g2 + (g1^2*t^6.87)/g2^9 + t^6.87/g2^8 + t^6.87/(g1^2*g2^7) + (g1*t^7.288)/g2^2 + t^7.288/(g1*g2) + (g1*t^7.299)/g2^9 + t^7.299/(g1*g2^8) + g2^5*t^7.706 + t^7.718/g2^2 + t^7.729/g2^9 - (3*g1*t^8.147)/g2^3 - (3*t^8.147)/(g1*g2^2) - (3*t^8.576)/g2^3 + (g1^4*t^8.588)/g2^12 + (g1^2*t^8.588)/g2^11 + t^8.588/g2^10 + t^8.588/(g1^2*g2^9) + t^8.588/(g1^4*g2^8) - t^3.859/(g2*y) - (g1*t^6.006)/(g2^4*y) - t^6.006/(g1*g2^3*y) - t^6.435/(g2^4*y) + (g2^2*t^7.282)/y + t^7.294/(g2^5*y) + (g1*g2*t^7.712)/y + (g2^2*t^7.712)/(g1*y) + (g1*t^7.723)/(g2^6*y) + t^7.723/(g1*g2^5*y) - (g1^2*t^8.153)/(g2^7*y) - t^8.153/(g2^6*y) - t^8.153/(g1^2*g2^5*y) + (g1*t^8.571)/y + (g2*t^8.571)/(g1*y) - (g1*t^8.582)/(g2^7*y) - t^8.582/(g1*g2^6*y) - (t^3.859*y)/g2 - (g1*t^6.006*y)/g2^4 - (t^6.006*y)/(g1*g2^3) - (t^6.435*y)/g2^4 + g2^2*t^7.282*y + (t^7.294*y)/g2^5 + g1*g2*t^7.712*y + (g2^2*t^7.712*y)/g1 + (g1*t^7.723*y)/g2^6 + (t^7.723*y)/(g1*g2^5) - (g1^2*t^8.153*y)/g2^7 - (t^8.153*y)/g2^6 - (t^8.153*y)/(g1^2*g2^5) + g1*t^8.571*y + (g2*t^8.571*y)/g1 - (g1*t^8.582*y)/g2^7 - (t^8.582*y)/(g1*g2^6) |
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 |
---|---|---|---|---|---|---|---|---|
46219 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}M_{3}$ | 0.5465 | 0.65 | 0.8409 | [X:[1.31], M:[0.965, 0.76, 1.035], q:[0.31, 0.725], qb:[0.93, 0.655], phi:[0.345]] | t^2.28 + 2*t^2.895 + t^3.105 + 2*t^3.93 + t^4.14 + t^4.56 + t^4.755 + t^4.965 + t^5.175 + t^5.385 + 2*t^5.79 - 2*t^6. - t^4.035/y - t^4.035*y | detail | |
46271 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{3}M_{4}$ | 0.5731 | 0.6732 | 0.8513 | [X:[1.3978], M:[0.7527, 0.7527, 0.9032, 1.0968], q:[0.3978, 0.8495], qb:[0.8495, 0.6989], phi:[0.3011]] | 2*t^2.258 + 2*t^3.29 + 2*t^4.194 + 3*t^4.516 + 2*t^4.645 + t^5.097 + 2*t^5.548 - 4*t^6. - t^3.903/y - t^3.903*y | detail | {a: 26435/46128, c: 15527/23064, X1: 130/93, M1: 70/93, M2: 70/93, M3: 28/31, M4: 34/31, q1: 37/93, q2: 79/93, qb1: 79/93, qb2: 65/93, phi1: 28/93} |
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 |
---|---|---|---|---|---|---|---|---|---|
45886 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}^{2}$ | 0.6693 | 0.8377 | 0.7989 | [M:[0.6919, 0.6919, 0.6801], q:[0.4841, 0.8241], qb:[0.8241, 0.4605], phi:[0.3518]] | t^2.04 + 2*t^2.076 + t^2.111 + t^2.834 + t^3.818 + 2*t^3.854 + t^3.889 + t^4.08 + 2*t^4.116 + 4*t^4.151 + 2*t^4.187 + t^4.222 + t^4.874 + 2*t^4.909 + 2*t^4.945 + t^5.667 + t^5.858 + 4*t^5.894 + 5*t^5.929 + 2*t^5.965 - 2*t^6. - t^4.055/y - t^4.055*y | detail |