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 |
|---|---|---|---|---|---|---|---|---|---|
| 58122 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.3141 | 1.5016 | 0.8751 | [X:[1.3333, 1.3333], M:[0.9667, 0.7], q:[0.3444, 0.6444], qb:[0.6889, 0.3222], phi:[0.3333]] | [X:[[0, 0], [0, 0]], M:[[-1, 1], [1, -1]], q:[[0, -1], [-1, 0]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 841/640, c: 961/640, X1: 4/3, X2: 4/3, M1: 29/30, M2: 7/10, q1: 31/90, q2: 29/45, qb1: 31/45, qb2: 29/90, phi1: 1/3} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{3}$ | ${}\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 2 | t^2.1 + 2*t^2.9 + 2*t^3. + 4*t^4. + t^4.1 + t^4.2 + 5*t^5. + 2*t^5.1 + 3*t^5.8 + 5*t^5.9 + 2*t^6. + 5*t^6.1 + t^6.2 + t^6.3 + 6*t^6.9 + 6*t^7. + 5*t^7.1 + 2*t^7.2 + 5*t^7.9 + 14*t^8. + 2*t^8.1 + 6*t^8.2 + t^8.3 + t^8.4 + 4*t^8.7 + 8*t^8.8 + t^8.9 - t^4./y - t^5./y - t^6.1/y - (2*t^6.9)/y - t^7./y - t^7.1/y - t^7.9/y - (2*t^8.)/y + (2*t^8.1)/y - t^8.2/y + t^8.8/y + (5*t^8.9)/y - t^4.*y - t^5.*y - t^6.1*y - 2*t^6.9*y - t^7.*y - t^7.1*y - t^7.9*y - 2*t^8.*y + 2*t^8.1*y - t^8.2*y + t^8.8*y + 5*t^8.9*y | (g1*t^2.1)/g2 + (2*g2*t^2.9)/g1 + 2*t^3. + 4*t^4. + (g1*t^4.1)/g2 + (g1^2*t^4.2)/g2^2 + 3*t^5. + t^5./(g1*g2^2) + g1*g2^2*t^5. + (2*g1*t^5.1)/g2 + (3*g2^2*t^5.8)/g1^2 + t^5.9/(g1^2*g2) + (3*g2*t^5.9)/g1 + g2^3*t^5.9 + t^6./(g1*g2^2) + g1*g2^2*t^6. + t^6.1/g2^3 + (3*g1*t^6.1)/g2 + g1^2*g2*t^6.1 + (g1^2*t^6.2)/g2^2 + (g1^3*t^6.3)/g2^3 + (6*g2*t^6.9)/g1 + 6*t^7. + t^7.1/g2^3 + (3*g1*t^7.1)/g2 + g1^2*g2*t^7.1 + (2*g1^2*t^7.2)/g2^2 + t^7.9/(g1^2*g2) + (3*g2*t^7.9)/g1 + g2^3*t^7.9 + 12*t^8. + t^8./(g1*g2^2) + g1*g2^2*t^8. + (2*g1*t^8.1)/g2 + g1^3*t^8.2 + (g1*t^8.2)/g2^4 + (4*g1^2*t^8.2)/g2^2 + (g1^3*t^8.3)/g2^3 + (g1^4*t^8.4)/g2^4 + (4*g2^3*t^8.7)/g1^3 + (2*t^8.8)/g1^3 + (4*g2^2*t^8.8)/g1^2 + (2*g2^4*t^8.8)/g1 + (2*t^8.9)/(g1^2*g2) - (3*g2*t^8.9)/g1 + 2*g2^3*t^8.9 - t^4./y - t^5./y - (g1*t^6.1)/(g2*y) - (2*g2*t^6.9)/(g1*y) - t^7./y - (g1*t^7.1)/(g2*y) - (g2*t^7.9)/(g1*y) - (2*t^8.)/y + (2*g1*t^8.1)/(g2*y) - (g1^2*t^8.2)/(g2^2*y) + (g2^2*t^8.8)/(g1^2*y) + (5*g2*t^8.9)/(g1*y) - t^4.*y - t^5.*y - (g1*t^6.1*y)/g2 - (2*g2*t^6.9*y)/g1 - t^7.*y - (g1*t^7.1*y)/g2 - (g2*t^7.9*y)/g1 - 2*t^8.*y + (2*g1*t^8.1*y)/g2 - (g1^2*t^8.2*y)/g2^2 + (g2^2*t^8.8*y)/g1^2 + (5*g2*t^8.9*y)/g1 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 57339 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4754 | 1.6837 | 0.8763 | [X:[1.3333], M:[0.9697, 0.697], q:[0.5152, 0.4848], qb:[0.5152, 0.4848], phi:[0.3333]] | t^2.091 + 2*t^2.909 + 3*t^3. + 3*t^4. + t^4.091 + t^4.182 + t^4.909 + 4*t^5. + 4*t^5.091 + 2*t^5.455 + 2*t^5.545 + 3*t^5.818 + 4*t^5.909 + 2*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 779/528, c: 889/528, X1: 4/3, M1: 32/33, M2: 23/33, q1: 17/33, q2: 16/33, qb1: 17/33, qb2: 16/33, phi1: 1/3} |