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 |
|---|---|---|---|---|---|---|---|---|---|
| 1175 | 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$ | 0.6692 | 0.8197 | 0.8164 | [X:[], M:[1.037, 1.1111, 0.963, 0.7407, 0.963], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 23417/34992, c: 14341/17496, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 26/27, 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 |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_2$, $ q_1q_2$, $ q_1\tilde{q}_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$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_4M_5$, $ \phi_1^4$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_4q_1q_2$ | . | -1 | t^2.22 + t^2.67 + 2*t^2.89 + t^3.33 + t^3.56 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.67 + t^4.89 + 2*t^5.11 + t^5.33 + 2*t^5.56 + 2*t^5.78 - t^6. + 2*t^6.22 + 3*t^6.44 + 4*t^6.67 + 5*t^6.89 + 3*t^7.11 + 4*t^7.33 + 3*t^7.56 + 3*t^7.78 + 6*t^8. + 2*t^8.22 + 3*t^8.44 + 4*t^8.67 - t^4.33/y - t^6.56/y - t^7.22/y + t^7.44/y + t^7.89/y + (3*t^8.11)/y + (3*t^8.56)/y + t^8.78/y - t^4.33*y - t^6.56*y - t^7.22*y + t^7.44*y + t^7.89*y + 3*t^8.11*y + 3*t^8.56*y + t^8.78*y | t^2.22 + t^2.67 + 2*t^2.89 + t^3.33 + t^3.56 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.67 + t^4.89 + 2*t^5.11 + t^5.33 + 2*t^5.56 + 2*t^5.78 - t^6. + 2*t^6.22 + 3*t^6.44 + 4*t^6.67 + 5*t^6.89 + 3*t^7.11 + 4*t^7.33 + 3*t^7.56 + 3*t^7.78 + 6*t^8. + 2*t^8.22 + 3*t^8.44 + 4*t^8.67 - t^4.33/y - t^6.56/y - t^7.22/y + t^7.44/y + t^7.89/y + (3*t^8.11)/y + (3*t^8.56)/y + t^8.78/y - t^4.33*y - t^6.56*y - t^7.22*y + t^7.44*y + t^7.89*y + 3*t^8.11*y + 3*t^8.56*y + t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 2211 | $\phi_1q_1^2$ + $ 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_4M_6$ | 0.6498 | 0.7841 | 0.8288 | [X:[], M:[1.037, 1.1111, 0.963, 0.7407, 0.963, 1.2593], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.67 + 2*t^2.89 + t^3.33 + t^3.56 + 2*t^3.78 + 2*t^4. + 2*t^4.22 + t^4.44 + t^4.67 + t^5.33 + t^5.56 + t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 11369/17496, c: 6859/8748, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, M5: 26/27, M6: 34/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
| 2213 | $\phi_1q_1^2$ + $ 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} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 717 | 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$ | 0.6658 | 0.8139 | 0.818 | [X:[], M:[1.037, 1.1111, 0.963, 0.7407], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | t^2.22 + t^2.67 + t^2.89 + t^3.11 + t^3.33 + t^3.56 + t^3.78 + 2*t^4. + 2*t^4.22 + 2*t^4.44 + t^4.67 + t^4.89 + t^5.11 + 2*t^5.33 + t^5.56 + t^5.78 - t^4.33/y - t^4.33*y | detail | {a: 1456/2187, c: 1780/2187, M1: 28/27, M2: 10/9, M3: 26/27, M4: 20/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |