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 |
|---|---|---|---|---|---|---|---|---|---|
| 57337 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.3386 | 1.5006 | 0.892 | [X:[1.4238], M:[0.8643], q:[0.723, 0.4183], qb:[0.7008, 0.4294], phi:[0.2881]] | [X:[[0, 2]], M:[[0, -3]], q:[[-1, -4], [-1, 4]], qb:[[1, 6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.543 + 2*t^2.593 + t^3.357 + t^3.457 + t^4.222 + 3*t^4.271 + t^4.321 + t^5.086 + 3*t^5.136 + 3*t^5.186 + 2*t^5.543 + t^5.9 + t^5.95 - 2*t^6. + t^6.05 + 2*t^6.357 + 2*t^6.407 + 2*t^6.457 + t^6.715 + t^6.765 + 4*t^6.814 + 4*t^6.864 + t^6.914 + t^7.579 + 4*t^7.629 + 3*t^7.679 + 7*t^7.729 + 4*t^7.778 - 2*t^8.186 + 2*t^8.443 + 4*t^8.493 + 4*t^8.543 + 2*t^8.643 + 4*t^8.9 + 4*t^8.95 + t^8.593/y^2 - t^3.864/y - t^4.729/y - t^6.407/y - (2*t^6.457)/y - t^7.222/y - (3*t^7.321)/y - t^8.086/y + t^8.136/y + t^8.9/y + t^8.95/y - t^3.864*y - t^4.729*y - t^6.407*y - 2*t^6.457*y - t^7.222*y - 3*t^7.321*y - t^8.086*y + t^8.136*y + t^8.9*y + t^8.95*y + t^8.593*y^2 | g2^4*t^2.543 + (2*t^2.593)/g2^3 + g2^10*t^3.357 + t^3.457/g2^4 + g2^9*t^4.222 + 3*g2^2*t^4.271 + t^4.321/g2^5 + g2^8*t^5.086 + 3*g2*t^5.136 + (3*t^5.186)/g2^6 + (g2^3*t^5.543)/g1^3 + g1^3*g2^5*t^5.543 + g2^14*t^5.9 + g2^7*t^5.95 - 2*t^6. + t^6.05/g2^7 + (g2^9*t^6.357)/g1^3 + g1^3*g2^11*t^6.357 + (g2^2*t^6.407)/g1^3 + g1^3*g2^4*t^6.407 + t^6.457/(g1^3*g2^5) + (g1^3*t^6.457)/g2^3 + g2^20*t^6.715 + g2^13*t^6.765 + 4*g2^6*t^6.814 + (4*t^6.864)/g2 + t^6.914/g2^8 + g2^19*t^7.579 + 4*g2^12*t^7.629 + 3*g2^5*t^7.679 + (7*t^7.729)/g2^2 + (4*t^7.778)/g2^9 - t^8.186/(g1^3*g2^7) - (g1^3*t^8.186)/g2^5 + 2*g2^18*t^8.443 + 4*g2^11*t^8.493 + 4*g2^4*t^8.543 + (2*t^8.643)/g2^10 + (2*g2^13*t^8.9)/g1^3 + 2*g1^3*g2^15*t^8.9 + (2*g2^6*t^8.95)/g1^3 + 2*g1^3*g2^8*t^8.95 + t^8.593/(g2^3*y^2) - t^3.864/(g2*y) - t^4.729/(g2^2*y) - (g2^3*t^6.407)/y - (2*t^6.457)/(g2^4*y) - (g2^9*t^7.222)/y - (3*t^7.321)/(g2^5*y) - (g2^8*t^8.086)/y + (g2*t^8.136)/y + (g2^14*t^8.9)/y + (g2^7*t^8.95)/y - (t^3.864*y)/g2 - (t^4.729*y)/g2^2 - g2^3*t^6.407*y - (2*t^6.457*y)/g2^4 - g2^9*t^7.222*y - (3*t^7.321*y)/g2^5 - g2^8*t^8.086*y + g2*t^8.136*y + g2^14*t^8.9*y + g2^7*t^8.95*y + (t^8.593*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58120 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3522 | 1.5255 | 0.8864 | [X:[1.4195], M:[0.8707, 0.839], q:[0.7309, 0.4089], qb:[0.6886, 0.4301], phi:[0.2902]] | 2*t^2.52 + 2*t^2.61 + t^3.29 + t^4.16 + 3*t^4.26 + t^4.35 + 3*t^5.03 + 5*t^5.13 + 3*t^5.22 + 2*t^5.52 + 2*t^5.81 + t^5.9 - 3*t^6. - t^3.87/y - t^4.74/y - t^3.87*y - t^4.74*y | detail | |
| 58119 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.3514 | 1.5213 | 0.8884 | [X:[1.4345], M:[0.8483, 0.8277], q:[0.7035, 0.4413], qb:[0.731, 0.4276], phi:[0.2828]] | t^2.48 + 2*t^2.54 + t^2.61 + t^3.39 + t^4.24 + 3*t^4.3 + t^4.37 + t^4.97 + 2*t^5.03 + 4*t^5.09 + 3*t^5.15 + t^5.21 + 2*t^5.61 + t^5.88 + t^5.94 - 2*t^6. - t^3.85/y - t^4.7/y - t^3.85*y - t^4.7*y | detail | |
| 58118 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.3256 | 1.4774 | 0.8973 | [X:[1.4285], M:[0.8572, 1.143], q:[0.7144, 0.4284], qb:[0.7141, 0.4286], phi:[0.2857]] | 2*t^2.57 + 3*t^3.43 + t^4.28 + 4*t^4.29 + 4*t^5.14 + 2*t^5.57 + t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | |
| 58117 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3286 | 1.4883 | 0.8927 | [X:[1.4323], M:[0.8515], q:[0.7526, 0.4818], qb:[0.6797, 0.3828], phi:[0.2838]] | 2*t^2.55 + t^2.59 + t^3.41 + t^3.48 + t^4.26 + 3*t^4.3 + t^4.34 + 3*t^5.11 + 3*t^5.15 + 2*t^5.19 + t^5.96 - t^3.85/y - t^4.7/y - t^3.85*y - t^4.7*y | detail | |
| 58115 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.2524 | 1.3931 | 0.8991 | [X:[1.5], M:[0.75], q:[0.5833, 0.5833], qb:[0.9167, 0.4167], phi:[0.25]] | 2*t^2.25 + 2*t^3. + t^3.75 + 7*t^4.5 + 5*t^5.25 + 4*t^6. - t^3.75/y - t^4.5/y - (2*t^6.)/y - t^3.75*y - t^4.5*y - 2*t^6.*y | detail | {a: 2565/2048, c: 2853/2048, X1: 3/2, M1: 3/4, q1: 7/12, q2: 7/12, qb1: 11/12, qb2: 5/12, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47891 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.3396 | 1.5052 | 0.8899 | [X:[1.4109], M:[0.8836], q:[0.7055, 0.4109], qb:[0.7055, 0.4109], phi:[0.2945]] | t^2.466 + 2*t^2.651 + 2*t^3.349 + 5*t^4.233 + t^4.931 + 3*t^5.116 + 3*t^5.302 + 2*t^5.466 + 2*t^5.815 - t^6. - t^3.884/y - t^4.767/y - t^3.884*y - t^4.767*y | detail |