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 |
---|---|---|---|---|---|---|---|---|---|
60572 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.0439 | 1.1721 | 0.8906 | [X:[1.4286, 1.4286], M:[1.1429, 0.8058], q:[0.2772, 0.9], qb:[0.2943, 0.8143], phi:[0.2857]] | [X:[[0, 0], [0, 0]], M:[[0, 0], [-1, 1]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }X_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | ${}\phi_{1}^{5}q_{1}\tilde{q}_{1}$ | -1 | t^2.42 + t^2.57 + t^3.27 + 2*t^3.43 + 2*t^4.29 + t^4.83 + t^4.99 + 2*t^5.07 + 2*t^5.14 + 2*t^5.22 + t^5.69 + 2*t^5.85 - t^6. - t^6.15 + t^6.55 + 4*t^6.7 + 3*t^6.86 + t^7.25 + t^7.41 + 2*t^7.48 + 3*t^7.56 + 2*t^7.64 + 4*t^7.71 - t^7.87 + t^8.11 + 2*t^8.26 + 2*t^8.34 - t^8.42 + 2*t^8.49 + 3*t^8.57 - 2*t^8.73 + t^8.97 + t^8.57/y^2 - t^3.86/y - t^4.71/y - t^6.27/y - (2*t^7.13)/y - (2*t^7.29)/y + t^7.99/y - (2*t^8.14)/y + t^8.3/y + (3*t^8.85)/y - t^3.86*y - t^4.71*y - t^6.27*y - 2*t^7.13*y - 2*t^7.29*y + t^7.99*y - 2*t^8.14*y + t^8.3*y + 3*t^8.85*y + t^8.57*y^2 | (g2*t^2.42)/g1 + t^2.57 + (g2*t^3.27)/g1 + 2*t^3.43 + 2*t^4.29 + (g2^2*t^4.83)/g1^2 + (g2*t^4.99)/g1 + t^5.07/g1^3 + g1^2*g2*t^5.07 + 2*t^5.14 + g1^3*t^5.22 + t^5.22/(g1^2*g2) + (g2^2*t^5.69)/g1^2 + (2*g2*t^5.85)/g1 - t^6. - (g1*t^6.15)/g2 + (g2^2*t^6.55)/g1^2 + (4*g2*t^6.7)/g1 + 3*t^6.86 + (g2^3*t^7.25)/g1^3 + (g2^2*t^7.41)/g1^2 + (g2*t^7.48)/g1^4 + g1*g2^2*t^7.48 + (3*g2*t^7.56)/g1 + t^7.64/g1^3 + g1^2*g2*t^7.64 + 4*t^7.71 - (g1*t^7.87)/g2 + (g2^3*t^8.11)/g1^3 + (2*g2^2*t^8.26)/g1^2 + (g2*t^8.34)/g1^4 + g1*g2^2*t^8.34 - (g2*t^8.42)/g1 + t^8.49/g1^3 + g1^2*g2*t^8.49 + 3*t^8.57 - (2*g1*t^8.73)/g2 + (g2^3*t^8.97)/g1^3 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (g2*t^6.27)/(g1*y) - (2*g2*t^7.13)/(g1*y) - (2*t^7.29)/y + (g2*t^7.99)/(g1*y) - (2*t^8.14)/y + (g1*t^8.3)/(g2*y) + (3*g2*t^8.85)/(g1*y) - t^3.86*y - t^4.71*y - (g2*t^6.27*y)/g1 - (2*g2*t^7.13*y)/g1 - 2*t^7.29*y + (g2*t^7.99*y)/g1 - 2*t^8.14*y + (g1*t^8.3*y)/g2 + (3*g2*t^8.85*y)/g1 + t^8.57*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 |
---|
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
57423 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }q_{1}\tilde{q}_{1}X_{2}$ | 1.0293 | 1.1454 | 0.8987 | [X:[1.4286, 1.4286], M:[1.1429], q:[0.2857, 0.8571], qb:[0.2857, 0.8571], phi:[0.2857]] | t^2.571 + 4*t^3.429 + 2*t^4.286 + 6*t^5.143 - t^6. - t^3.857/y - t^4.714/y - t^3.857*y - t^4.714*y | detail | {a: 807/784, c: 449/392, X1: 10/7, X2: 10/7, M1: 8/7, q1: 2/7, q2: 6/7, qb1: 2/7, qb2: 6/7, phi1: 2/7} |