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 |
|---|---|---|---|---|---|---|---|---|---|
| 2179 | 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_1M_6$ | 0.6409 | 0.7959 | 0.8053 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.88, 0.88], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 16023/25000, c: 9949/12500, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, M6: 22/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ \phi_1^2$, $ M_2$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_4^2$, $ M_4M_5$, $ M_4M_6$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_2M_5$, $ M_2M_6$, $ \phi_1^4$ | $M_4\phi_1\tilde{q}_1^2$ | 0 | t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + 2*t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + t^4.8 + 2*t^5.04 + 4*t^5.28 + 2*t^5.52 + t^5.76 + 3*t^6.24 + 5*t^6.48 + 5*t^6.72 + 3*t^6.96 + 3*t^7.2 + 3*t^7.44 + 6*t^7.68 + 7*t^7.92 + 5*t^8.16 + 2*t^8.4 - t^8.64 + 3*t^8.88 - t^4.44/y - t^7.08/y + t^7.8/y + (2*t^8.04)/y + (2*t^8.28)/y + (3*t^8.52)/y + (2*t^8.76)/y - t^4.44*y - t^7.08*y + t^7.8*y + 2*t^8.04*y + 2*t^8.28*y + 3*t^8.52*y + 2*t^8.76*y | t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + 2*t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + t^4.8 + 2*t^5.04 + 4*t^5.28 + 2*t^5.52 + t^5.76 + 3*t^6.24 + 5*t^6.48 + 5*t^6.72 + 3*t^6.96 + 3*t^7.2 + 3*t^7.44 + 6*t^7.68 + 7*t^7.92 + 5*t^8.16 + 2*t^8.4 - t^8.64 + 3*t^8.88 - t^4.44/y - t^7.08/y + t^7.8/y + (2*t^8.04)/y + (2*t^8.28)/y + (3*t^8.52)/y + (2*t^8.76)/y - t^4.44*y - t^7.08*y + t^7.8*y + 2*t^8.04*y + 2*t^8.28*y + 3*t^8.52*y + 2*t^8.76*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 |
|---|---|---|---|---|---|---|---|---|
| 4162 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_1M_6$ + $ M_3M_7$ | 0.6574 | 0.8249 | 0.797 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.88, 0.88, 0.8], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | 2*t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + 3*t^4.8 + 4*t^5.04 + 5*t^5.28 + 3*t^5.52 + t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 32871/50000, c: 20623/25000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, M6: 22/25, M7: 4/5, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| 4167 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_1M_6$ + $ M_7\phi_1^2$ | 0.6372 | 0.7897 | 0.8069 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.88, 0.88, 1.04], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | t^2.4 + 2*t^2.64 + 2*t^3.12 + 2*t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + t^4.8 + 2*t^5.04 + 3*t^5.28 + t^5.52 + 2*t^5.76 - t^6. - t^4.44/y - t^4.44*y | detail | {a: 159297/250000, c: 98711/125000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, M6: 22/25, M7: 26/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| 4165 | $\phi_1q_1^2$ + $ 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_1M_6$ + $ M_7q_1q_2$ | 0.661 | 0.8335 | 0.793 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.88, 0.88, 0.72], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | t^2.16 + t^2.4 + 2*t^2.64 + t^2.88 + t^3.12 + 2*t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 2*t^4.56 + 3*t^4.8 + 3*t^5.04 + 5*t^5.28 + 2*t^5.52 + 3*t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 165249/250000, c: 104187/125000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, M6: 22/25, M7: 18/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1147 | 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_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ | 0.6302 | 0.7777 | 0.8103 | [X:[], M:[1.12, 1.04, 1.2, 0.8, 0.88], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + t^4.8 + t^5.04 + 2*t^5.28 + t^5.52 + t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 157539/250000, c: 97207/125000, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 22/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |