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 |
---|---|---|---|---|---|---|---|---|---|
111 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | 0.5768 | 0.6957 | 0.829 | [M:[1.0], q:[0.6194, 1.0], qb:[0.3806, 0.4775], phi:[0.3806]] | [M:[[0]], q:[[1], [0]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.284 + t^2.574 + t^3. + t^3.291 + t^3.426 + t^3.716 + t^4.007 + t^4.142 + t^4.433 + t^4.567 + 2*t^4.858 + t^5.149 + t^5.574 + t^5.865 + 2*t^6.291 + 2*t^6.581 + t^6.716 + t^6.851 + 2*t^7.007 + t^7.142 + t^7.298 + 2*t^7.433 + 2*t^7.723 + t^8.014 + 2*t^8.149 + 2*t^8.439 - t^8.574 - t^8.709 + 3*t^8.865 - t^4.142/y - t^6.426/y + (2*t^7.858)/y + t^8.284/y + (2*t^8.574)/y + t^8.865/y - t^4.142*y - t^6.426*y + 2*t^7.858*y + t^8.284*y + 2*t^8.574*y + t^8.865*y | t^2.284/g1^2 + g1^3*t^2.574 + t^3. + g1^5*t^3.291 + t^3.426/g1^3 + g1^2*t^3.716 + g1^7*t^4.007 + t^4.142/g1 + g1^4*t^4.433 + t^4.567/g1^4 + 2*g1*t^4.858 + g1^6*t^5.149 + g1^3*t^5.574 + g1^8*t^5.865 + 2*g1^5*t^6.291 + 2*g1^10*t^6.581 + g1^2*t^6.716 + t^6.851/g1^6 + 2*g1^7*t^7.007 + t^7.142/g1 + g1^12*t^7.298 + 2*g1^4*t^7.433 + 2*g1^9*t^7.723 + g1^14*t^8.014 + 2*g1^6*t^8.149 + 2*g1^11*t^8.439 - g1^3*t^8.574 - t^8.709/g1^5 + 3*g1^8*t^8.865 - t^4.142/(g1*y) - t^6.426/(g1^3*y) + (2*g1*t^7.858)/y + t^8.284/(g1^2*y) + (2*g1^3*t^8.574)/y + (g1^8*t^8.865)/y - (t^4.142*y)/g1 - (t^6.426*y)/g1^3 + 2*g1*t^7.858*y + (t^8.284*y)/g1^2 + 2*g1^3*t^8.574*y + g1^8*t^8.865*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 |
---|---|---|---|---|---|---|---|---|
177 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5954 | 0.7288 | 0.817 | [M:[1.0, 0.7562], q:[0.6219, 1.0], qb:[0.3781, 0.4876], phi:[0.3781]] | 2*t^2.269 + t^2.597 + t^3. + t^3.329 + t^3.403 + t^4.06 + t^4.134 + t^4.463 + 3*t^4.537 + 3*t^4.866 + t^5.194 + t^5.269 + 2*t^5.597 + t^5.671 + t^5.926 - t^6. - t^4.134/y - t^4.134*y | detail | |
1711 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4324 | 0.4949 | 0.8737 | [X:[1.4286], M:[1.0], q:[0.7143, 1.0], qb:[0.2857, 0.8571], phi:[0.2857]] | t^2.571 + t^3. + t^3.429 + t^3.857 + t^4.286 + t^5.143 - t^3.857/y - t^3.857*y | detail | {a: 339/784, c: 97/196, X1: 10/7, M1: 1, q1: 5/7, q2: 1, qb1: 2/7, qb2: 6/7, phi1: 2/7} |
178 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5208 | 0.6042 | 0.8621 | [X:[1.3333], M:[1.0], q:[0.6667, 1.0], qb:[0.3333, 0.6667], phi:[0.3333]] | 3*t^3. + 4*t^4. + t^5. - t^6. - t^4./y - t^4.*y | detail | {a: 25/48, c: 29/48, X1: 4/3, M1: 1, q1: 2/3, q2: 1, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
73 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.5776 | 0.6992 | 0.8261 | [M:[1.0], q:[0.6391, 0.9718], qb:[0.3609, 0.4718], phi:[0.3891]] | t^2.334 + t^2.498 + t^3. + 2*t^3.333 + t^3.666 + 2*t^3.998 + t^4.331 + t^4.669 + 2*t^4.833 + t^4.997 + t^5.498 + 2*t^5.831 - t^6. - t^4.167/y - t^4.167*y | detail |