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 |
---|---|---|---|---|---|---|---|---|---|
60493 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.0244 | 1.2208 | 0.8391 | [X:[1.4286, 1.7143], M:[1.0], q:[0.4762, 0.1905], qb:[0.6667, 0.0952], phi:[0.4286]] | [X:[[0], [0]], M:[[0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 2811/2744, c: 1675/1372, X1: 10/7, X2: 12/7, M1: 1, q1: 10/21, q2: 4/21, qb1: 2/3, qb2: 2/21, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }X_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ 2}\phi_{1}^{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{3}\tilde{q}_{2}$, ${ 2}\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | 6 | t^2.14 + 2*t^2.57 + t^3. + 2*t^3.43 + 4*t^3.86 + 2*t^4.29 + 5*t^4.71 + 7*t^5.14 + 4*t^5.57 + 6*t^6. + 10*t^6.43 + 8*t^6.86 + 12*t^7.29 + 19*t^7.71 + 12*t^8.14 + 17*t^8.57 - t^4.29/y - t^5.57/y - (2*t^6.86)/y + t^7.71/y - t^8.14/y + (4*t^8.57)/y - t^4.29*y - t^5.57*y - 2*t^6.86*y + t^7.71*y - t^8.14*y + 4*t^8.57*y | t^2.14 + 2*t^2.57 + t^3. + 2*t^3.43 + 2*t^3.86 + t^3.86/g1^3 + g1^3*t^3.86 + 2*t^4.29 + 3*t^4.71 + t^4.71/g1^3 + g1^3*t^4.71 + 5*t^5.14 + t^5.14/g1^3 + g1^3*t^5.14 + 2*t^5.57 + t^5.57/g1^3 + g1^3*t^5.57 + 4*t^6. + t^6./g1^3 + g1^3*t^6. + 6*t^6.43 + (2*t^6.43)/g1^3 + 2*g1^3*t^6.43 + 6*t^6.86 + t^6.86/g1^3 + g1^3*t^6.86 + 8*t^7.29 + (2*t^7.29)/g1^3 + 2*g1^3*t^7.29 + 11*t^7.71 + t^7.71/g1^6 + (3*t^7.71)/g1^3 + 3*g1^3*t^7.71 + g1^6*t^7.71 + 4*t^8.14 + (4*t^8.14)/g1^3 + 4*g1^3*t^8.14 + 9*t^8.57 + t^8.57/g1^6 + (3*t^8.57)/g1^3 + 3*g1^3*t^8.57 + g1^6*t^8.57 - t^4.29/y - t^5.57/y - (2*t^6.86)/y + t^7.71/y - t^8.14/y + (4*t^8.57)/y - t^4.29*y - t^5.57*y - 2*t^6.86*y + t^7.71*y - t^8.14*y + 4*t^8.57*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 |
---|---|---|---|---|---|---|---|---|
61168 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.0446 | 1.2589 | 0.8298 | [X:[1.4286, 1.7143], M:[1.0, 0.7143], q:[0.4762, 0.1905], qb:[0.6667, 0.0952], phi:[0.4286]] | 2*t^2.14 + 2*t^2.57 + t^3. + 2*t^3.43 + 3*t^3.86 + 4*t^4.29 + 7*t^4.71 + 8*t^5.14 + 6*t^5.57 + 8*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | {a: 117/112, c: 141/112, X1: 10/7, X2: 12/7, M1: 1, M2: 5/7, q1: 10/21, q2: 4/21, qb1: 2/3, qb2: 2/21, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
57729 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{1}$ | 1.3423 | 1.5531 | 0.8642 | [X:[1.3749], M:[1.0], q:[0.3123, 0.5632], qb:[0.5623, 0.3128], phi:[0.3749]] | t^2.25 + t^2.62 + t^2.63 + t^3. + t^3.37 + t^3.38 + 2*t^3.75 + 2*t^4.12 + 2*t^4.5 + 2*t^4.69 + 2*t^4.87 + 2*t^4.88 + t^5.25 + t^5.26 + 2*t^5.44 + 2*t^5.62 + 3*t^5.63 + 2*t^5.81 + 3*t^6. - t^4.12/y - t^5.25/y - t^4.12*y - t^5.25*y | detail |