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 |
|---|---|---|---|---|---|---|---|---|---|
| 4981 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ | 0.6396 | 0.8434 | 0.7584 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.6957, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 124515/194672, c: 82095/97336, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 16/23, M7: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_4$, $ M_7$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_4M_6$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_5$, $ M_5M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_7q_2\tilde{q}_2$, $ M_4^2$, $ M_3M_6$, $ M_4M_7$, $ M_7^2$, $ M_6\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3M_4$, $ M_3M_7$, $ M_4\phi_1^2$, $ M_7\phi_1^2$, $ M_5\phi_1q_2^2$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$ | $M_4\phi_1q_2^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$, $ q_1q_2\tilde{q}_2^2$ | 2 | 2*t^2.09 + 2*t^2.35 + 2*t^2.61 + 2*t^3.13 + t^3.39 + t^3.65 + t^3.91 + 4*t^4.17 + 5*t^4.43 + 7*t^4.7 + 4*t^4.96 + 7*t^5.22 + 5*t^5.48 + 5*t^5.74 + 2*t^6. + 8*t^6.26 + 10*t^6.52 + 14*t^6.78 + 12*t^7.04 + 15*t^7.3 + 13*t^7.57 + 14*t^7.83 + 5*t^8.09 + 12*t^8.35 + 12*t^8.61 + 19*t^8.87 - t^4.57/y - t^6.65/y - t^6.91/y + (5*t^7.43)/y + (4*t^7.7)/y + (5*t^7.96)/y + (6*t^8.22)/y + (7*t^8.48)/y + (7*t^8.74)/y - t^4.57*y - t^6.65*y - t^6.91*y + 5*t^7.43*y + 4*t^7.7*y + 5*t^7.96*y + 6*t^8.22*y + 7*t^8.48*y + 7*t^8.74*y | 2*t^2.09 + 2*t^2.35 + 2*t^2.61 + 2*t^3.13 + t^3.39 + t^3.65 + t^3.91 + 4*t^4.17 + 5*t^4.43 + 7*t^4.7 + 4*t^4.96 + 7*t^5.22 + 5*t^5.48 + 5*t^5.74 + 2*t^6. + 8*t^6.26 + 10*t^6.52 + 14*t^6.78 + 12*t^7.04 + 15*t^7.3 + 13*t^7.57 + 14*t^7.83 + 5*t^8.09 + 12*t^8.35 + 12*t^8.61 + 19*t^8.87 - t^4.57/y - t^6.65/y - t^6.91/y + (5*t^7.43)/y + (4*t^7.7)/y + (5*t^7.96)/y + (6*t^8.22)/y + (7*t^8.48)/y + (7*t^8.74)/y - t^4.57*y - t^6.65*y - t^6.91*y + 5*t^7.43*y + 4*t^7.7*y + 5*t^7.96*y + 6*t^8.22*y + 7*t^8.48*y + 7*t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 6559 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.6512 | 0.8632 | 0.7544 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.6957, 0.8696, 0.8696], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 2*t^2.09 + 2*t^2.35 + 3*t^2.61 + 2*t^3.13 + t^3.65 + t^3.91 + 4*t^4.17 + 5*t^4.43 + 9*t^4.7 + 6*t^4.96 + 10*t^5.22 + 3*t^5.48 + 5*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 63387/97336, c: 42009/48668, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 16/23, M7: 20/23, M8: 20/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
| 6561 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.6602 | 0.883 | 0.7477 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.6957, 0.8696, 0.6957], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 3*t^2.09 + 2*t^2.35 + 2*t^2.61 + 2*t^3.13 + t^3.39 + t^3.65 + 7*t^4.17 + 7*t^4.43 + 9*t^4.7 + 4*t^4.96 + 9*t^5.22 + 6*t^5.48 + 6*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 64263/97336, c: 10744/12167, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 16/23, M7: 20/23, M8: 16/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
| 6560 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_2$ | 0.6571 | 0.8745 | 0.7514 | [X:[], M:[0.9565, 1.1304, 1.0435, 0.8696, 0.7826, 0.6957, 0.8696, 0.7826], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 2*t^2.09 + 3*t^2.35 + 2*t^2.61 + 2*t^3.13 + t^3.39 + t^3.91 + 4*t^4.17 + 7*t^4.43 + 10*t^4.7 + 6*t^4.96 + 7*t^5.22 + 7*t^5.48 + 4*t^5.74 - t^4.57/y - t^4.57*y | detail | {a: 7995/12167, c: 10640/12167, M1: 22/23, M2: 26/23, M3: 24/23, M4: 20/23, M5: 18/23, M6: 16/23, M7: 20/23, M8: 18/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3122 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ + $ M_7\phi_1q_2^2$ | 0.6448 | 0.8521 | 0.7567 | [X:[], M:[0.9472, 1.1583, 1.0528, 0.8417, 0.7362, 0.7374, 0.8417], q:[0.7368, 0.3159], qb:[0.4215, 0.4203], phi:[0.5264]] | 4*t^2.21 + 2*t^2.53 + 2*t^3.16 + 2*t^3.47 + 2*t^4.1 + t^4.11 + 10*t^4.42 + 4*t^4.73 + 4*t^4.74 + 3*t^5.05 + 8*t^5.37 + 8*t^5.68 + t^5.69 - 2*t^6. - t^4.58/y - t^4.58*y | detail |