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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[0, 0, 2]], M:[[0, 0, -3]], q:[[-1, 0, 2], [0, -1, 4]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$ | -1 | 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. + 6*t^6.349 + 8*t^6.698 + 3*t^6.884 + t^7.397 + 12*t^7.582 + 2*t^7.767 + 2*t^7.931 + 4*t^7.952 - 4*t^8.116 + 2*t^8.28 + 12*t^8.466 - 2*t^8.651 + 10*t^8.815 + t^8.651/y^2 - t^3.884/y - t^4.767/y - t^6.349/y - (2*t^6.534)/y - (2*t^7.233)/y - (2*t^7.418)/y - t^8.116/y + t^8.302/y + t^8.815/y - t^3.884*y - t^4.767*y - t^6.349*y - 2*t^6.534*y - 2*t^7.233*y - 2*t^7.418*y - t^8.116*y + t^8.302*y + t^8.815*y + t^8.651*y^2 | g3^4*t^2.466 + (2*t^2.651)/g3^3 + (g2*g3^2*t^3.349)/g1 + (g1*g3^4*t^3.349)/g2 + (g2*g3*t^4.233)/g1 + 3*g3^2*t^4.233 + (g1*g3^3*t^4.233)/g2 + g3^8*t^4.931 + 3*g3*t^5.116 + (3*t^5.302)/g3^6 + (g1*g2^2*t^5.466)/g3 + (g3^9*t^5.466)/(g1*g2^2) + (g2*g3^6*t^5.815)/g1 + (g1*g3^8*t^5.815)/g2 - 3*t^6. + (g2*t^6.)/(g1*g3) + (g1*g3*t^6.)/g2 + (g2^3*t^6.349)/g3^3 + (g1*g2^2*t^6.349)/g3^2 + (g1^2*g2*t^6.349)/g3 + (g3^7*t^6.349)/(g1^2*g2) + (g3^8*t^6.349)/(g1*g2^2) + (g3^9*t^6.349)/g2^3 + (g2^2*g3^4*t^6.698)/g1^2 + (g2*g3^5*t^6.698)/g1 + 4*g3^6*t^6.698 + (g1*g3^7*t^6.698)/g2 + (g1^2*g3^8*t^6.698)/g2^2 + (3*t^6.884)/g3 + g3^12*t^7.397 + (g2^2*g3^3*t^7.582)/g1^2 + (3*g2*g3^4*t^7.582)/g1 + 4*g3^5*t^7.582 + (3*g1*g3^6*t^7.582)/g2 + (g1^2*g3^7*t^7.582)/g2^2 - (g2*t^7.767)/(g1*g3^3) + (4*t^7.767)/g3^2 - (g1*t^7.767)/(g2*g3) + g1*g2^2*g3^3*t^7.931 + (g3^13*t^7.931)/(g1*g2^2) + (4*t^7.952)/g3^9 - (g2^3*t^8.116)/g3^5 - (g1^2*g2*t^8.116)/g3^3 - (g3^5*t^8.116)/(g1^2*g2) - (g3^7*t^8.116)/g2^3 + (g2*g3^10*t^8.28)/g1 + (g1*g3^12*t^8.28)/g2 + (g2^2*g3^2*t^8.466)/g1^2 + (4*g2*g3^3*t^8.466)/g1 + 2*g3^4*t^8.466 + (4*g1*g3^5*t^8.466)/g2 + (g1^2*g3^6*t^8.466)/g2^2 + (g2*t^8.651)/(g1*g3^4) - (4*t^8.651)/g3^3 + (g1*t^8.651)/(g2*g3^2) + 2*g2^3*g3*t^8.815 + g1*g2^2*g3^2*t^8.815 + 2*g1^2*g2*g3^3*t^8.815 + (2*g3^11*t^8.815)/(g1^2*g2) + (g3^12*t^8.815)/(g1*g2^2) + (2*g3^13*t^8.815)/g2^3 + t^8.651/(g3^3*y^2) - t^3.884/(g3*y) - t^4.767/(g3^2*y) - (g3^3*t^6.349)/y - (2*t^6.534)/(g3^4*y) - (g2*g3*t^7.233)/(g1*y) - (g1*g3^3*t^7.233)/(g2*y) - (2*t^7.418)/(g3^5*y) - (g2*t^8.116)/(g1*y) + (g3*t^8.116)/y - (g1*g3^2*t^8.116)/(g2*y) + t^8.302/(g3^6*y) + (g2*g3^6*t^8.815)/(g1*y) - (g3^7*t^8.815)/y + (g1*g3^8*t^8.815)/(g2*y) - (t^3.884*y)/g3 - (t^4.767*y)/g3^2 - g3^3*t^6.349*y - (2*t^6.534*y)/g3^4 - (g2*g3*t^7.233*y)/g1 - (g1*g3^3*t^7.233*y)/g2 - (2*t^7.418*y)/g3^5 - (g2*t^8.116*y)/g1 + g3*t^8.116*y - (g1*g3^2*t^8.116*y)/g2 + (t^8.302*y)/g3^6 + (g2*g3^6*t^8.815*y)/g1 - g3^7*t^8.815*y + (g1*g3^8*t^8.815*y)/g2 + (t^8.651*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57340 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3522 | 1.5252 | 0.8866 | [X:[1.423], M:[0.8655, 0.8299], q:[0.7352, 0.4111], qb:[0.6878, 0.4349], phi:[0.2885]] | t^2.49 + t^2.538 + 2*t^2.597 + t^3.297 + t^4.162 + 3*t^4.269 + t^4.376 + t^4.979 + t^5.028 + t^5.076 + 2*t^5.086 + 3*t^5.134 + 3*t^5.193 + 2*t^5.538 + t^5.786 + t^5.835 + t^5.893 - 3*t^6. - t^3.866/y - t^4.731/y - t^3.866*y - t^4.731*y | detail | |
| 57358 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.1037 | 1.2336 | 0.8947 | [X:[1.5383], M:[0.6926], q:[1.077, 0.3844], qb:[0.4613, 0.6922], phi:[0.2309]] | 2*t^2.078 + t^2.537 + 2*t^3.23 + 3*t^4.156 + 4*t^4.615 + t^5.074 + 4*t^5.307 + 2*t^5.537 + 2*t^5.767 - 3*t^6. - t^3.693/y - t^4.385/y - (2*t^5.77)/y - t^3.693*y - t^4.385*y - 2*t^5.77*y | detail | |
| 57336 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3291 | 1.4869 | 0.8939 | [X:[1.4388], M:[0.8418], q:[0.6786, 0.3981], qb:[0.7602, 0.4796], phi:[0.2806]] | 2*t^2.525 + t^2.633 + 2*t^3.475 + 5*t^4.316 + 3*t^5.051 + 3*t^5.158 + 2*t^5.266 - t^3.842/y - t^4.684/y - t^3.842*y - t^4.684*y | detail | |
| 57337 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 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]] | 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^3.864/y - t^4.729/y - t^3.864*y - t^4.729*y | detail | |
| 57359 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.3052 | 1.4458 | 0.9027 | [X:[1.5], M:[0.75], q:[0.75, 0.5], qb:[0.75, 0.5], phi:[0.25]] | 2*t^2.25 + t^3. + 2*t^3.75 + 8*t^4.5 + 3*t^5.25 + 2*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: 2673/2048, c: 2961/2048, X1: 3/2, M1: 3/4, q1: 3/4, q2: 1/2, qb1: 3/4, qb2: 1/2, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47872 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.33 | 1.4939 | 0.8903 | [X:[1.3964], q:[0.6982, 0.3964], qb:[0.6982, 0.3964], phi:[0.3018]] | t^2.378 + t^2.716 + 3*t^3.284 + 5*t^4.189 + t^4.757 + 2*t^5.095 + 2*t^5.378 + t^5.433 + 3*t^5.662 - 2*t^6. - t^3.905/y - t^4.811/y - t^3.905*y - t^4.811*y | detail |