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 |
|---|---|---|---|---|---|---|---|---|---|
| 45013 | SO5adj1nf2 | $q_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ | 1.7917 | 1.8958 | 0.9451 | [X:[1.3333], M:[0.8333, 0.8333], q:[0.5, 0.5], qb:[], phi:[0.3333]] | [X:[[0]], M:[[1], [-1]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 43/24, c: 91/48, X1: 4/3, M1: 5/6, M2: 5/6, q1: 1/2, q2: 1/2, phi1: 1/3} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ q_1^2$, $ q_1q_2$, $ q_2^2$, $ q_1^2$, $ q_2^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_2q_1^2$, $ M_1q_1^2$, $ M_2q_1q_2$, $ M_1q_1q_2$, $ M_2q_2^2$, $ M_1q_2^2$ | $q_1^4$, $ \phi_1^3q_1q_2$, $ q_2^4$ | 3 | 2*t^2.5 + 3*t^3. + 3*t^4. + 6*t^5. + 6*t^5.5 + 3*t^6. + 4*t^6.5 + 6*t^7. + 10*t^7.5 + 20*t^8. + 4*t^8.5 - t^4./y - (2*t^5.5)/y - t^6./y - (2*t^6.5)/y - (3*t^7.)/y - (5*t^8.)/y - t^4.*y - 2*t^5.5*y - t^6.*y - 2*t^6.5*y - 3*t^7.*y - 5*t^8.*y | t^2.5/g1 + g1*t^2.5 + t^3. + t^3./g1^2 + g1^2*t^3. + 3*t^4. + 2*t^5. + (2*t^5.)/g1^2 + 2*g1^2*t^5. + t^5.5/g1^3 + (2*t^5.5)/g1 + 2*g1*t^5.5 + g1^3*t^5.5 + t^6. + t^6./g1^4 + g1^4*t^6. + (2*t^6.5)/g1 + 2*g1*t^6.5 + 2*t^7. + (2*t^7.)/g1^2 + 2*g1^2*t^7. + (2*t^7.5)/g1^3 + (3*t^7.5)/g1 + 3*g1*t^7.5 + 2*g1^3*t^7.5 + 10*t^8. + (2*t^8.)/g1^4 + (3*t^8.)/g1^2 + 3*g1^2*t^8. + 2*g1^4*t^8. + t^8.5/g1^5 + t^8.5/g1^3 + g1^3*t^8.5 + g1^5*t^8.5 - t^4./y - t^5.5/(g1*y) - (g1*t^5.5)/y - t^6./y - t^6.5/(g1*y) - (g1*t^6.5)/y - t^7./y - t^7./(g1^2*y) - (g1^2*t^7.)/y - (3*t^8.)/y - t^8./(g1^2*y) - (g1^2*t^8.)/y - t^4.*y - (t^5.5*y)/g1 - g1*t^5.5*y - t^6.*y - (t^6.5*y)/g1 - g1*t^6.5*y - t^7.*y - (t^7.*y)/g1^2 - g1^2*t^7.*y - 3*t^8.*y - (t^8.*y)/g1^2 - g1^2*t^8.*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 |
|---|---|---|---|---|---|---|---|---|
| 45168 | $q_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ | 1.7778 | 1.8819 | 0.9446 | [X:[1.3333], M:[0.7778, 0.8889], q:[0.5556, 0.4444], qb:[], phi:[0.3333]] | t^2.33 + 2*t^2.67 + t^3. + t^3.33 + 3*t^4. + 2*t^4.67 + 3*t^5. + 5*t^5.33 + 2*t^5.67 + 2*t^6. - t^4./y - t^5.33/y - t^5.67/y - t^6./y - t^4.*y - t^5.33*y - t^5.67*y - t^6.*y | detail | {a: 16/9, c: 271/144, X1: 4/3, M1: 7/9, M2: 8/9, q1: 5/9, q2: 4/9, phi1: 1/3} |
| 45189 | $q_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_3q_2^2$ | 1.7936 | 1.9003 | 0.9438 | [X:[1.3333], M:[0.8539, 0.8128, 0.959], q:[0.4795, 0.5205], qb:[], phi:[0.3333]] | t^2.44 + t^2.56 + 2*t^2.88 + t^3. + 3*t^4. + 2*t^4.88 + 2*t^5. + 2*t^5.12 + 2*t^5.32 + 3*t^5.44 + t^5.56 + 3*t^5.75 + t^5.88 - t^4./y - t^5.44/y - t^5.56/y - t^6./y - t^4.*y - t^5.44*y - t^5.56*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 44941 | SO5adj1nf2 | $q_1^2q_2^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^2q_1$ | 1.7776 | 1.8719 | 0.9496 | [X:[1.3333], M:[0.8253], q:[0.5081, 0.4919], qb:[], phi:[0.3333]] | t^2.48 + t^2.95 + t^3. + t^3.05 + t^3.48 + 3*t^4. + 2*t^4.95 + t^5. + t^5.05 + t^5.43 + t^5.48 + t^5.52 + t^5.9 + t^5.95 + t^6. - t^4./y - t^5.48/y - t^5.52/y - t^6./y - t^4.*y - t^5.48*y - t^5.52*y - t^6.*y | detail |