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 |
|---|---|---|---|---|---|---|---|---|---|
| 5091 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_1M_7$ | 0.6597 | 0.8322 | 0.7927 | [X:[], M:[1.2, 0.72, 0.8, 1.12, 0.88, 1.12, 0.8], q:[0.44, 0.36], qb:[0.76, 0.52], phi:[0.48]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 6597/10000, c: 4161/5000, M1: 6/5, M2: 18/25, M3: 4/5, M4: 28/25, M5: 22/25, M6: 28/25, M7: 4/5, q1: 11/25, q2: 9/25, qb1: 19/25, qb2: 13/25, phi1: 12/25} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_7$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ M_4$, $ M_6$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_7$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_1$, $ M_2\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3\phi_1^2$, $ M_7\phi_1^2$, $ M_3q_1\tilde{q}_2$, $ M_7q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_4M_7$, $ M_6M_7$, $ \phi_1^4$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$ | $M_2\phi_1q_1q_2$ | 0 | t^2.16 + 2*t^2.4 + 2*t^2.88 + 2*t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 3*t^4.8 + 2*t^5.04 + 4*t^5.28 + t^5.52 + 6*t^5.76 + 4*t^6.24 + 5*t^6.48 + 6*t^6.72 + 7*t^6.96 + 5*t^7.2 + 6*t^7.44 + 6*t^7.68 + 4*t^7.92 + 9*t^8.16 + 10*t^8.64 + 4*t^8.88 - t^4.44/y - t^6.6/y - t^6.84/y + t^7.08/y - t^7.32/y + (3*t^7.56)/y + (3*t^8.04)/y + (5*t^8.28)/y + (2*t^8.52)/y + (5*t^8.76)/y - t^4.44*y - t^6.6*y - t^6.84*y + t^7.08*y - t^7.32*y + 3*t^7.56*y + 3*t^8.04*y + 5*t^8.28*y + 2*t^8.52*y + 5*t^8.76*y | t^2.16 + 2*t^2.4 + 2*t^2.88 + 2*t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 3*t^4.56 + 3*t^4.8 + 2*t^5.04 + 4*t^5.28 + t^5.52 + 6*t^5.76 + 4*t^6.24 + 5*t^6.48 + 6*t^6.72 + 7*t^6.96 + 5*t^7.2 + 6*t^7.44 + 6*t^7.68 + 4*t^7.92 + 9*t^8.16 + 10*t^8.64 + 4*t^8.88 - t^4.44/y - t^6.6/y - t^6.84/y + t^7.08/y - t^7.32/y + (3*t^7.56)/y + (3*t^8.04)/y + (5*t^8.28)/y + (2*t^8.52)/y + (5*t^8.76)/y - t^4.44*y - t^6.6*y - t^6.84*y + t^7.08*y - t^7.32*y + 3*t^7.56*y + 3*t^8.04*y + 5*t^8.28*y + 2*t^8.52*y + 5*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 |
|---|---|---|---|---|---|---|---|---|
| 6677 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_1M_7$ + $ M_1M_8$ | 0.6762 | 0.8612 | 0.7852 | [X:[], M:[1.2, 0.72, 0.8, 1.12, 0.88, 1.12, 0.8, 0.8], q:[0.44, 0.36], qb:[0.76, 0.52], phi:[0.48]] | t^2.16 + 3*t^2.4 + 2*t^2.88 + 2*t^3.36 + t^3.84 + 2*t^4.08 + 2*t^4.32 + 4*t^4.56 + 6*t^4.8 + 2*t^5.04 + 6*t^5.28 + t^5.52 + 7*t^5.76 - 2*t^6. - t^4.44/y - t^4.44*y | detail | {a: 3381/5000, c: 2153/2500, M1: 6/5, M2: 18/25, M3: 4/5, M4: 28/25, M5: 22/25, M6: 28/25, M7: 4/5, M8: 4/5, q1: 11/25, q2: 9/25, qb1: 19/25, qb2: 13/25, phi1: 12/25} |
| 6678 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_1M_7$ + $ M_8\phi_1q_1q_2$ | 0.6798 | 0.8698 | 0.7816 | [X:[], M:[1.2, 0.72, 0.8, 1.12, 0.88, 1.12, 0.8, 0.72], q:[0.44, 0.36], qb:[0.76, 0.52], phi:[0.48]] | 2*t^2.16 + 2*t^2.4 + 2*t^2.88 + 2*t^3.36 + t^3.6 + 2*t^4.08 + 4*t^4.32 + 5*t^4.56 + 3*t^4.8 + 4*t^5.04 + 4*t^5.28 + 3*t^5.52 + 7*t^5.76 - t^6. - t^4.44/y - t^4.44*y | detail | {a: 21243/31250, c: 54361/62500, M1: 6/5, M2: 18/25, M3: 4/5, M4: 28/25, M5: 22/25, M6: 28/25, M7: 4/5, M8: 18/25, q1: 11/25, q2: 9/25, qb1: 19/25, qb2: 13/25, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3202 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1M_3$ + $ M_5M_6$ + $ \phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ | 0.661 | 0.8346 | 0.7919 | [X:[], M:[1.1915, 0.7488, 0.8085, 1.1318, 0.8682, 1.1318, 0.7661], q:[0.4341, 0.3744], qb:[0.7575, 0.4938], phi:[0.4851]] | t^2.25 + t^2.3 + t^2.43 + t^2.78 + t^2.91 + 2*t^3.4 + t^3.57 + t^3.88 + 2*t^4.06 + t^4.24 + t^4.42 + t^4.49 + t^4.54 + t^4.6 + t^4.67 + t^4.72 + t^4.85 + t^5.03 + t^5.08 + t^5.16 + 2*t^5.21 + t^5.34 + t^5.57 + t^5.64 + 3*t^5.69 + 2*t^5.82 + t^5.87 - 2*t^6. - t^4.46/y - t^4.46*y | detail |