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 |
---|---|---|---|---|---|---|---|---|---|
57277 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.313 | 1.4559 | 0.9019 | [X:[1.4286], M:[1.1429], q:[0.7143, 0.4286], qb:[0.7143, 0.4286], phi:[0.2857]] | [X:[[0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 3603/2744, c: 3995/2744, X1: 10/7, M1: 8/7, q1: 5/7, q2: 3/7, qb1: 5/7, qb2: 3/7, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | -1 | t^2.571 + 4*t^3.429 + 5*t^4.286 + 2*t^5.143 + 2*t^5.571 - t^6. + 6*t^6.429 + 8*t^6.857 + 18*t^7.714 - 6*t^8.143 + 16*t^8.571 + t^8.571/y^2 - t^3.857/y - t^4.714/y - t^6.429/y - (4*t^7.286)/y - (5*t^8.143)/y - t^3.857*y - t^4.714*y - t^6.429*y - 4*t^7.286*y - 5*t^8.143*y + t^8.571*y^2 | t^2.571 + 2*t^3.429 + (g1*t^3.429)/g2 + (g2*t^3.429)/g1 + 3*t^4.286 + (g1*t^4.286)/g2 + (g2*t^4.286)/g1 + 2*t^5.143 + t^5.571/(g1*g2^2) + g1*g2^2*t^5.571 - t^6. + t^6.429/g2^3 + t^6.429/(g1*g2^2) + t^6.429/(g1^2*g2) + g1^2*g2*t^6.429 + g1*g2^2*t^6.429 + g2^3*t^6.429 + 4*t^6.857 + (g1^2*t^6.857)/g2^2 + (g1*t^6.857)/g2 + (g2*t^6.857)/g1 + (g2^2*t^6.857)/g1^2 + 8*t^7.714 + (g1^2*t^7.714)/g2^2 + (4*g1*t^7.714)/g2 + (4*g2*t^7.714)/g1 + (g2^2*t^7.714)/g1^2 - t^8.143/g2^3 - t^8.143/(g1*g2^2) - t^8.143/(g1^2*g2) - g1^2*g2*t^8.143 - g1*g2^2*t^8.143 - g2^3*t^8.143 + 8*t^8.571 + (g1^2*t^8.571)/g2^2 + (3*g1*t^8.571)/g2 + (3*g2*t^8.571)/g1 + (g2^2*t^8.571)/g1^2 + t^8.571/y^2 - t^3.857/y - t^4.714/y - t^6.429/y - (2*t^7.286)/y - (g1*t^7.286)/(g2*y) - (g2*t^7.286)/(g1*y) - (3*t^8.143)/y - (g1*t^8.143)/(g2*y) - (g2*t^8.143)/(g1*y) - t^3.857*y - t^4.714*y - t^6.429*y - 2*t^7.286*y - (g1*t^7.286*y)/g2 - (g2*t^7.286*y)/g1 - 3*t^8.143*y - (g1*t^8.143*y)/g2 - (g2*t^8.143*y)/g1 + t^8.571*y^2 |
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 |
---|---|---|---|---|---|---|---|---|
57885 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.3005 | 1.4344 | 0.9066 | [X:[1.4286], M:[1.1429, 1.1429], q:[0.7143, 0.4286], qb:[0.7143, 0.4286], phi:[0.2857]] | 5*t^3.43 + 5*t^4.29 + t^5.14 + 2*t^5.57 - 5*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 7137/5488, c: 492/343, X1: 10/7, M1: 8/7, M2: 8/7, q1: 5/7, q2: 3/7, qb1: 5/7, qb2: 3/7, phi1: 2/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
47881 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3224 | 1.4876 | 0.8889 | [X:[1.3809], M:[1.0713], q:[0.6904, 0.3809], qb:[0.6904, 0.3809], phi:[0.3096]] | t^2.285 + 4*t^3.214 + 5*t^4.143 + t^4.57 + t^5.071 + 2*t^5.285 + 4*t^5.499 - 5*t^6. - t^3.929/y - t^4.857/y - t^3.929*y - t^4.857*y | detail |