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 |
|---|---|---|---|---|---|---|---|---|---|
| 4212 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.6786 | 0.8383 | 0.8095 | [X:[], M:[1.037, 1.1111, 0.963, 0.7407, 0.963, 0.7407, 1.1111], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 7915/11664, c: 4889/5832, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 26/27, M6: 20/27, M7: 10/9, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_3$, $ M_5$, $ M_2$, $ M_7$, $ q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_4M_5$, $ M_3M_6$, $ M_5M_6$, $ M_2M_4$, $ M_2M_6$, $ M_4M_7$, $ M_6M_7$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4q_1q_2$, $ M_6q_1q_2$ | . | -3 | 2*t^2.22 + 2*t^2.89 + 2*t^3.33 + t^3.56 + 2*t^4. + 2*t^4.22 + 4*t^4.44 + t^4.67 + 4*t^5.11 + 3*t^5.56 + 3*t^5.78 - 3*t^6. + 5*t^6.22 + 4*t^6.44 + 6*t^6.67 + 5*t^6.89 + 8*t^7.33 + 3*t^7.56 + 4*t^7.78 + 7*t^8. - 5*t^8.22 + 7*t^8.44 + 9*t^8.67 + 3*t^8.89 - t^4.33/y - (2*t^6.56)/y + t^7./y - t^7.22/y + (2*t^7.44)/y - t^7.67/y + (6*t^8.11)/y + (4*t^8.56)/y - t^4.33*y - 2*t^6.56*y + t^7.*y - t^7.22*y + 2*t^7.44*y - t^7.67*y + 6*t^8.11*y + 4*t^8.56*y | 2*t^2.22 + 2*t^2.89 + 2*t^3.33 + t^3.56 + 2*t^4. + 2*t^4.22 + 4*t^4.44 + t^4.67 + 4*t^5.11 + 3*t^5.56 + 3*t^5.78 - 3*t^6. + 5*t^6.22 + 4*t^6.44 + 6*t^6.67 + 5*t^6.89 + 8*t^7.33 + 3*t^7.56 + 4*t^7.78 + 7*t^8. - 5*t^8.22 + 7*t^8.44 + 9*t^8.67 + 3*t^8.89 - t^4.33/y - (2*t^6.56)/y + t^7./y - t^7.22/y + (2*t^7.44)/y - t^7.67/y + (6*t^8.11)/y + (4*t^8.56)/y - t^4.33*y - 2*t^6.56*y + t^7.*y - t^7.22*y + 2*t^7.44*y - t^7.67*y + 6*t^8.11*y + 4*t^8.56*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 |
|---|---|---|---|---|---|---|---|---|
| 5703 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1^2$ + $ M_8q_1q_2$ | 0.6942 | 0.8655 | 0.8021 | [X:[], M:[1.037, 1.1111, 0.963, 0.7407, 0.963, 0.7407, 1.1111, 0.8148], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | 2*t^2.22 + t^2.44 + 2*t^2.89 + 2*t^3.33 + 2*t^4. + 2*t^4.22 + 4*t^4.44 + 3*t^4.67 + t^4.89 + 4*t^5.11 + 2*t^5.33 + 3*t^5.56 + 3*t^5.78 - 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 12145/17496, c: 7571/8748, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 26/27, M6: 20/27, M7: 10/9, M8: 22/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2213 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_1M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6886 | 0.8553 | 0.8051 | [X:[], M:[1.037, 1.1111, 0.963, 0.7407, 0.963, 0.7407], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | 2*t^2.22 + t^2.67 + 2*t^2.89 + t^3.33 + t^3.56 + 2*t^4. + 2*t^4.22 + 4*t^4.44 + t^4.67 + 2*t^4.89 + 4*t^5.11 + t^5.33 + 3*t^5.56 + 3*t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 502/729, c: 1247/1458, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 26/27, M6: 20/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |