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 |
---|---|---|---|---|---|---|---|---|---|
57957 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | 1.3508 | 1.5204 | 0.8884 | [X:[1.4286], M:[0.8571, 0.8571], q:[0.4286, 0.7143], qb:[0.7143, 0.4286], phi:[0.2857]] | [X:[[0, 0]], M:[[-1, 1], [1, -1]], q:[[0, -1], [-1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 1059/784, c: 149/98, X1: 10/7, M1: 6/7, M2: 6/7, q1: 3/7, q2: 5/7, qb1: 5/7, qb2: 3/7, phi1: 2/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$ | -1 | 4*t^2.57 + t^3.43 + 5*t^4.29 + 11*t^5.14 + 2*t^5.57 - t^6. + 6*t^6.43 + 14*t^6.86 + 25*t^7.71 + 4*t^8.57 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (4*t^6.43)/y - (4*t^7.29)/y + (4*t^8.14)/y - t^3.86*y - t^4.71*y - 4*t^6.43*y - 4*t^7.29*y + 4*t^8.14*y + t^8.57*y^2 | 2*t^2.57 + (g1*t^2.57)/g2 + (g2*t^2.57)/g1 + t^3.43 + 3*t^4.29 + (g1*t^4.29)/g2 + (g2*t^4.29)/g1 + 5*t^5.14 + (g1^2*t^5.14)/g2^2 + (2*g1*t^5.14)/g2 + (2*g2*t^5.14)/g1 + (g2^2*t^5.14)/g1^2 + t^5.57/(g1*g2^2) + g1*g2^2*t^5.57 - t^6. + t^6.43/g2^3 + t^6.43/(g1*g2^2) + t^6.43/(g1^2*g2) + g1^2*g2*t^6.43 + g1*g2^2*t^6.43 + g2^3*t^6.43 + 6*t^6.86 + (g1^2*t^6.86)/g2^2 + (3*g1*t^6.86)/g2 + (3*g2*t^6.86)/g1 + (g2^2*t^6.86)/g1^2 + 9*t^7.71 + (g1^3*t^7.71)/g2^3 + (2*g1^2*t^7.71)/g2^2 + (5*g1*t^7.71)/g2 + (5*g2*t^7.71)/g1 + (2*g2^2*t^7.71)/g1^2 + (g2^3*t^7.71)/g1^3 + 4*t^8.57 + (g1^2*t^8.57)/g2^2 - (g1*t^8.57)/g2 - (g2*t^8.57)/g1 + (g2^2*t^8.57)/g1^2 + t^8.57/y^2 - t^3.86/y - t^4.71/y - (2*t^6.43)/y - (g1*t^6.43)/(g2*y) - (g2*t^6.43)/(g1*y) - (2*t^7.29)/y - (g1*t^7.29)/(g2*y) - (g2*t^7.29)/(g1*y) + (2*g1*t^8.14)/(g2*y) + (2*g2*t^8.14)/(g1*y) - t^3.86*y - t^4.71*y - 2*t^6.43*y - (g1*t^6.43*y)/g2 - (g2*t^6.43*y)/g1 - 2*t^7.29*y - (g1*t^7.29*y)/g2 - (g2*t^7.29*y)/g1 + (2*g1*t^8.14*y)/g2 + (2*g2*t^8.14*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 |
---|---|---|---|---|---|---|---|---|---|
57303 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3509 | 1.5213 | 0.888 | [X:[1.4242], M:[0.8636, 0.8636], q:[0.4242, 0.7121], qb:[0.7121, 0.4242], phi:[0.2879]] | t^2.545 + 3*t^2.591 + t^3.409 + 5*t^4.273 + t^5.091 + 4*t^5.136 + 6*t^5.182 + 2*t^5.545 + t^5.955 - 2*t^6. - t^3.864/y - t^4.727/y - t^3.864*y - t^4.727*y | detail | {a: 951/704, c: 1071/704, X1: 47/33, M1: 19/22, M2: 19/22, q1: 14/33, q2: 47/66, qb1: 47/66, qb2: 14/33, phi1: 19/66} |