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 |
---|---|---|---|---|---|---|---|---|---|
3409 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ + ${ }M_{5}M_{6}$ | 0.4697 | 0.5539 | 0.8481 | [X:[1.7143, 1.6534, 1.4286], M:[0.3466, 0.7962, 0.2857, 0.8571, 1.1429, 0.8571], q:[1.2553, 0.3981], qb:[0.459, 0.7447], phi:[0.2857]] | [X:[[0], [2], [0]], M:[[-2], [2], [0], [0], [0], [0]], q:[[1], [1]], qb:[[-1], [-1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{3}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }X_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }X_{1}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | ${}M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | -2 | t^2.389 + 2*t^2.571 + t^3.246 + t^4.286 + t^4.777 + 2*t^4.96 + 3*t^5.143 + t^5.635 + t^5.817 - 2*t^6. - t^6.183 + t^6.492 - t^7.04 + t^7.166 + 2*t^7.349 + 3*t^7.532 + 3*t^7.714 - t^7.897 + t^8.023 + t^8.206 - t^8.389 - 4*t^8.571 - 2*t^8.754 + t^8.881 - t^3.857/y - t^6.246/y - t^6.429/y + t^7.286/y + t^7.468/y + (2*t^7.96)/y + t^8.143/y + t^8.817/y - t^3.857*y - t^6.246*y - t^6.429*y + t^7.286*y + t^7.468*y + 2*t^7.96*y + t^8.143*y + t^8.817*y | g1^2*t^2.389 + 2*t^2.571 + g1^2*t^3.246 + t^4.286 + g1^4*t^4.777 + 2*g1^2*t^4.96 + 3*t^5.143 + g1^4*t^5.635 + g1^2*t^5.817 - 2*t^6. - t^6.183/g1^2 + g1^4*t^6.492 - t^7.04/g1^2 + g1^6*t^7.166 + 2*g1^4*t^7.349 + 3*g1^2*t^7.532 + 3*t^7.714 - t^7.897/g1^2 + g1^6*t^8.023 + g1^4*t^8.206 - g1^2*t^8.389 - 4*t^8.571 - (2*t^8.754)/g1^2 + g1^6*t^8.881 - t^3.857/y - (g1^2*t^6.246)/y - t^6.429/y + t^7.286/y + t^7.468/(g1^2*y) + (2*g1^2*t^7.96)/y + t^8.143/y + (g1^2*t^8.817)/y - t^3.857*y - g1^2*t^6.246*y - t^6.429*y + t^7.286*y + (t^7.468*y)/g1^2 + 2*g1^2*t^7.96*y + t^8.143*y + g1^2*t^8.817*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 |
---|---|---|---|---|---|---|---|---|
3893 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{7}$ | 0.4548 | 0.5262 | 0.8643 | [X:[1.7143, 1.7143, 1.4286], M:[0.2857, 0.8571, 0.2857, 0.8571, 1.1429, 0.8571, 1.1429], q:[1.2857, 0.4286], qb:[0.4286, 0.7143], phi:[0.2857]] | 2*t^2.571 + 2*t^3.429 + t^4.286 + 3*t^5.143 - t^3.857/y - t^3.857*y | detail | {a: 156/343, c: 361/686, X1: 12/7, X2: 12/7, X3: 10/7, M1: 2/7, M2: 6/7, M3: 2/7, M4: 6/7, M5: 8/7, M6: 6/7, M7: 8/7, q1: 9/7, q2: 3/7, qb1: 3/7, qb2: 5/7, phi1: 2/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
2847 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4572 | 0.5324 | 0.8587 | [X:[1.7143, 1.6534, 1.4286], M:[0.3466, 0.7962, 0.2857, 0.8571, 1.1429], q:[1.2553, 0.3981], qb:[0.459, 0.7447], phi:[0.2857]] | t^2.389 + t^2.571 + t^3.246 + t^3.429 + t^4.286 + t^4.777 + t^4.96 + t^5.143 + t^5.635 + t^5.817 - t^6. - t^3.857/y - t^3.857*y | detail |