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 |
|---|---|---|---|---|---|---|---|---|---|
| 5060 | 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ | 0.5805 | 0.7354 | 0.7894 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.9565, 0.9565], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 113013/194672, c: 71583/97336, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 22/23, M7: 22/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_6$, $ M_7$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_6$, $ M_4M_7$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_2M_6$, $ M_2M_7$, $ \phi_1^4$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_6$, $ M_6^2$, $ M_1M_7$, $ M_6M_7$, $ M_7^2$, $ M_4\phi_1q_2^2$ | $\phi_1^3q_2\tilde{q}_1$ | 0 | t^2.09 + t^2.35 + t^2.61 + 3*t^2.87 + t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 3*t^4.7 + 4*t^4.96 + 4*t^5.22 + 3*t^5.48 + 6*t^5.74 + 3*t^6.26 + 2*t^6.52 + 3*t^6.78 + 3*t^7.04 + 5*t^7.3 + 8*t^7.57 + 7*t^7.83 + 6*t^8.09 + 2*t^8.35 + 7*t^8.61 - 3*t^8.87 - t^4.3/y - t^6.65/y - t^6.91/y - (2*t^7.17)/y + (3*t^7.43)/y + (2*t^7.7)/y + (5*t^7.96)/y + (3*t^8.22)/y + (4*t^8.48)/y + (5*t^8.74)/y - t^4.3*y - t^6.65*y - t^6.91*y - 2*t^7.17*y + 3*t^7.43*y + 2*t^7.7*y + 5*t^7.96*y + 3*t^8.22*y + 4*t^8.48*y + 5*t^8.74*y | t^2.09 + t^2.35 + t^2.61 + 3*t^2.87 + t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 3*t^4.7 + 4*t^4.96 + 4*t^5.22 + 3*t^5.48 + 6*t^5.74 + 3*t^6.26 + 2*t^6.52 + 3*t^6.78 + 3*t^7.04 + 5*t^7.3 + 8*t^7.57 + 7*t^7.83 + 6*t^8.09 + 2*t^8.35 + 7*t^8.61 - 3*t^8.87 - t^4.3/y - t^6.65/y - t^6.91/y - (2*t^7.17)/y + (3*t^7.43)/y + (2*t^7.7)/y + (5*t^7.96)/y + (3*t^8.22)/y + (4*t^8.48)/y + (5*t^8.74)/y - t^4.3*y - t^6.65*y - t^6.91*y - 2*t^7.17*y + 3*t^7.43*y + 2*t^7.7*y + 5*t^7.96*y + 3*t^8.22*y + 4*t^8.48*y + 5*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 |
|---|---|---|---|---|---|---|---|---|
| 6644 | $M_1q_1q_2$ + $ 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_5M_8$ | 0.6011 | 0.775 | 0.7756 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.9565, 0.9565, 0.6957], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | 2*t^2.09 + t^2.35 + t^2.61 + 3*t^2.87 + t^3.39 + t^3.65 + 3*t^4.17 + 2*t^4.43 + 4*t^4.7 + 7*t^4.96 + 4*t^5.22 + 4*t^5.48 + 7*t^5.74 - t^6. - t^4.3/y - t^4.3*y | detail | {a: 318/529, c: 410/529, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 22/23, M7: 22/23, M8: 16/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| 6642 | $M_1q_1q_2$ + $ 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.5921 | 0.7552 | 0.7841 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.9565, 0.9565, 0.8696], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | t^2.09 + t^2.35 + 2*t^2.61 + 3*t^2.87 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 4*t^4.7 + 5*t^4.96 + 6*t^5.22 + 5*t^5.48 + 5*t^5.74 - t^6. - t^4.3/y - t^4.3*y | detail | {a: 14409/24334, c: 36753/48668, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 22/23, M7: 22/23, M8: 20/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| 6643 | $M_1q_1q_2$ + $ 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_2\phi_1q_2^2$ + $ M_8\phi_1q_2^2$ | 0.598 | 0.7665 | 0.7802 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.9565, 0.9565, 0.7826], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | t^2.09 + 2*t^2.35 + t^2.61 + 3*t^2.87 + t^3.39 + t^3.91 + t^4.17 + 2*t^4.43 + 5*t^4.7 + 5*t^4.96 + 7*t^5.22 + 3*t^5.48 + 6*t^5.74 - t^6. - t^4.3/y - t^4.3*y | detail | {a: 58209/97336, c: 9326/12167, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 22/23, M7: 22/23, M8: 18/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3189 | 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_3M_6$ + $ \phi_1q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5978 | 0.762 | 0.7845 | [X:[], M:[1.0258, 0.6737, 0.9742, 0.7254, 1.2746, 1.0258, 0.7981], q:[0.6373, 0.3369], qb:[0.3885, 0.9378], phi:[0.4249]] | t^2.02 + t^2.18 + t^2.39 + t^2.55 + 2*t^3.08 + t^3.3 + t^3.45 + t^3.82 + t^4.04 + t^4.2 + t^4.35 + t^4.42 + 2*t^4.57 + 2*t^4.73 + t^4.79 + t^4.94 + 3*t^5.1 + 2*t^5.25 + t^5.32 + 3*t^5.47 + 2*t^5.63 + t^5.69 + 2*t^5.85 - t^6. - t^4.27/y - t^4.27*y | detail |