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 |
---|---|---|---|---|---|---|---|---|---|
57626 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 1.0556 | 1.1389 | 0.9268 | [X:[1.5556, 1.3333], M:[], q:[0.5185, 0.7407], qb:[1.037, 0.3704], phi:[0.2222]] | [X:[[6], [9]], M:[], q:[[2], [-1]], qb:[[4], [13]], phi:[[-3]]] | 1 | {a: 19/18, c: 41/36, X1: 14/9, X2: 4/3, q1: 14/27, q2: 20/27, qb1: 28/27, qb2: 10/27, phi1: 2/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1 | t^2.67 + 2*t^3.33 + 2*t^4. + 2*t^4.67 + 2*t^5.33 + t^6. + 3*t^6.67 + 4*t^7.33 + 6*t^8. + 3*t^8.67 + t^8./y^2 - t^3.67/y - t^4.33/y - t^6.33/y - (2*t^7.)/y - (2*t^7.67)/y - (2*t^8.33)/y - t^3.67*y - t^4.33*y - t^6.33*y - 2*t^7.*y - 2*t^7.67*y - 2*t^8.33*y + t^8.*y^2 | g1^15*t^2.67 + 2*g1^12*t^3.33 + 2*g1^9*t^4. + 2*g1^6*t^4.67 + 2*g1^30*t^5.33 - 2*t^6. + 3*g1^27*t^6. - (2*t^6.67)/g1^3 + 5*g1^24*t^6.67 - t^7.33/g1^6 + 5*g1^21*t^7.33 + 4*g1^18*t^8. + 2*g1^45*t^8. - 2*g1^15*t^8.67 + 5*g1^42*t^8.67 + t^8./(g1^9*y^2) - t^3.67/(g1^3*y) - t^4.33/(g1^6*y) - (g1^12*t^6.33)/y - (2*g1^9*t^7.)/y - (2*g1^6*t^7.67)/y - (2*g1^3*t^8.33)/y - (t^3.67*y)/g1^3 - (t^4.33*y)/g1^6 - g1^12*t^6.33*y - 2*g1^9*t^7.*y - 2*g1^6*t^7.67*y - 2*g1^3*t^8.33*y + (t^8.*y^2)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
59500 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.047 | 1.1188 | 0.9358 | [X:[1.5702, 1.3553], M:[1.0744], q:[0.5234, 0.7383], qb:[1.0468, 0.4022], phi:[0.2149]] | t^3.22 + 2*t^3.42 + 2*t^4.07 + 2*t^4.71 + t^5.55 - 2*t^6. - t^3.64/y - t^4.29/y - t^3.64*y - t^4.29*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 |
---|---|---|---|---|---|---|---|---|---|
47932 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 1.3274 | 1.4947 | 0.8881 | [X:[1.3871], q:[0.6577, 0.3782], qb:[0.7294, 0.3961], phi:[0.3064]] | t^2.323 + t^2.758 + t^3.161 + t^3.242 + t^3.323 + t^4.081 + 3*t^4.161 + t^4.242 + t^4.645 + 2*t^5.081 + t^5.161 + 2*t^5.484 + t^5.516 + t^5.565 + t^5.645 - t^6. - t^3.919/y - t^4.839/y - t^3.919*y - t^4.839*y | detail |