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 |
|---|---|---|---|---|---|---|---|---|---|
| 3170 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.5878 | 0.728 | 0.8074 | [X:[1.6, 1.3784], M:[0.4, 1.2, 0.6216, 0.9784, 1.0216, 0.8, 0.7567], q:[1.0, 0.6], qb:[0.3784, 0.4216], phi:[0.4]] | [X:[[0], [1]], M:[[0], [0], [-1], [1], [-1], [0], [2]], q:[[0], [0]], qb:[[1], [-1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }X_{1}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}^{2}q_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.27 + 2*t^2.4 + t^2.935 + t^3.065 + t^3.47 + t^3.6 + t^4.135 + t^4.265 + t^4.54 + 2*t^4.67 + 4*t^4.8 + t^5.205 + 2*t^5.335 + t^5.465 + t^5.74 + 3*t^5.87 + 2*t^6.405 + 2*t^6.535 + t^6.811 + 3*t^6.94 + 4*t^7.07 + 4*t^7.2 - t^7.33 + t^7.475 + 3*t^7.605 + 2*t^7.735 + t^8.011 + 3*t^8.14 + 3*t^8.27 - 2*t^8.4 - t^8.53 + 2*t^8.675 + 3*t^8.805 - t^8.935 - t^4.2/y - t^6.47/y - t^6.6/y + (2*t^7.67)/y + (2*t^7.8)/y + t^7.93/y + t^8.205/y + (3*t^8.335)/y + (2*t^8.465)/y + (2*t^8.87)/y - t^4.2*y - t^6.47*y - t^6.6*y + 2*t^7.67*y + 2*t^7.8*y + t^7.93*y + t^8.205*y + 3*t^8.335*y + 2*t^8.465*y + 2*t^8.87*y | g1^2*t^2.27 + 2*t^2.4 + g1*t^2.935 + t^3.065/g1 + g1^2*t^3.47 + t^3.6 + g1*t^4.135 + t^4.265/g1 + g1^4*t^4.54 + 2*g1^2*t^4.67 + 4*t^4.8 + g1^3*t^5.205 + 2*g1*t^5.335 + t^5.465/g1 + g1^4*t^5.74 + 3*g1^2*t^5.87 + 2*g1^3*t^6.405 + 2*g1*t^6.535 + g1^6*t^6.811 + 3*g1^4*t^6.94 + 4*g1^2*t^7.07 + 4*t^7.2 - t^7.33/g1^2 + g1^5*t^7.475 + 3*g1^3*t^7.605 + 2*g1*t^7.735 + g1^6*t^8.011 + 3*g1^4*t^8.14 + 3*g1^2*t^8.27 - 2*t^8.4 - t^8.53/g1^2 + 2*g1^5*t^8.675 + 3*g1^3*t^8.805 - g1*t^8.935 - t^4.2/y - (g1^2*t^6.47)/y - t^6.6/y + (2*g1^2*t^7.67)/y + (2*t^7.8)/y + t^7.93/(g1^2*y) + (g1^3*t^8.205)/y + (3*g1*t^8.335)/y + (2*t^8.465)/(g1*y) + (2*g1^2*t^8.87)/y - t^4.2*y - g1^2*t^6.47*y - t^6.6*y + 2*g1^2*t^7.67*y + 2*t^7.8*y + (t^7.93*y)/g1^2 + g1^3*t^8.205*y + 3*g1*t^8.335*y + (2*t^8.465*y)/g1 + 2*g1^2*t^8.87*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 5053 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{8}$ | 0.5866 | 0.7244 | 0.8098 | [X:[1.6, 1.3952], M:[0.4, 1.2, 0.6048, 0.9952, 1.0048, 0.8, 0.7903, 1.0048], q:[1.0, 0.6], qb:[0.3952, 0.4048], phi:[0.4]] | t^2.371 + 2*t^2.4 + 2*t^3.015 + t^3.571 + t^3.6 + t^4.185 + t^4.215 + t^4.742 + 2*t^4.771 + 4*t^4.8 + t^5.385 + 3*t^5.415 + t^5.942 + 2*t^5.971 - t^6. - t^4.2/y - t^4.2*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2098 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ | 0.57 | 0.695 | 0.8201 | [X:[1.6, 1.4], M:[0.4, 1.2, 0.6, 1.0, 1.0, 0.8], q:[1.0, 0.6], qb:[0.4, 0.4], phi:[0.4]] | 2*t^2.4 + 2*t^3. + 3*t^3.6 + 2*t^4.2 + 4*t^4.8 + 2*t^5.4 + 4*t^6. - t^4.2/y - t^4.2*y | detail | {a: 57/100, c: 139/200, X1: 8/5, X2: 7/5, M1: 2/5, M2: 6/5, M3: 3/5, M4: 1, M5: 1, M6: 4/5, q1: 1, q2: 3/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |