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 |
|---|---|---|---|---|---|---|---|---|---|
| 4017 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_7$ + $ M_6X_1$ | 0.6204 | 0.7671 | 0.8087 | [X:[1.3913], M:[1.2174, 1.0435, 1.1304, 1.0, 0.7826, 0.6087, 0.8696], q:[0.7609, 0.3261], qb:[0.4565, 0.5435], phi:[0.4783]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 120771/194672, c: 149337/194672, X1: 32/23, M1: 28/23, M2: 24/23, M3: 26/23, M4: 1, M5: 18/23, M6: 14/23, M7: 20/23, q1: 35/46, q2: 15/46, qb1: 21/46, qb2: 25/46, phi1: 11/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_4$, $ M_2$, $ q_1q_2$, $ M_3$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_5M_7$, $ M_7^2$, $ M_2M_5$, $ M_4M_7$, $ M_5q_1q_2$, $ M_3M_5$, $ M_2M_7$, $ M_7q_1q_2$ | . | 0 | t^2.35 + t^2.61 + t^3. + t^3.13 + t^3.26 + t^3.39 + t^3.65 + t^3.78 + t^3.91 + t^4.04 + t^4.17 + t^4.43 + 2*t^4.7 + t^4.96 + t^5.22 + t^5.48 + t^5.61 + t^5.74 + t^5.87 + t^6.13 + 2*t^6.26 + 2*t^6.39 + 2*t^6.52 + t^6.65 + 2*t^6.78 + t^6.91 + 4*t^7.04 + 2*t^7.17 + 3*t^7.3 + t^7.43 + 3*t^7.57 + t^7.7 + 3*t^7.83 + 2*t^7.96 + 2*t^8.09 + t^8.22 + t^8.35 + t^8.48 + t^8.61 + t^8.74 + 2*t^8.87 - t^4.43/y + t^7.96/y + t^8.35/y + t^8.48/y + (2*t^8.61)/y + (2*t^8.74)/y + t^8.87/y - t^4.43*y + t^7.96*y + t^8.35*y + t^8.48*y + 2*t^8.61*y + 2*t^8.74*y + t^8.87*y | t^2.35 + t^2.61 + t^3. + t^3.13 + t^3.26 + t^3.39 + t^3.65 + t^3.78 + t^3.91 + t^4.04 + t^4.17 + t^4.43 + 2*t^4.7 + t^4.96 + t^5.22 + t^5.48 + t^5.61 + t^5.74 + t^5.87 + t^6.13 + 2*t^6.26 + 2*t^6.39 + 2*t^6.52 + t^6.65 + 2*t^6.78 + t^6.91 + 4*t^7.04 + 2*t^7.17 + 3*t^7.3 + t^7.43 + 3*t^7.57 + t^7.7 + 3*t^7.83 + 2*t^7.96 + 2*t^8.09 + t^8.22 + t^8.35 + t^8.48 + t^8.61 + t^8.74 + 2*t^8.87 - t^4.43/y + t^7.96/y + t^8.35/y + t^8.48/y + (2*t^8.61)/y + (2*t^8.74)/y + t^8.87/y - t^4.43*y + t^7.96*y + t^8.35*y + t^8.48*y + 2*t^8.61*y + 2*t^8.74*y + t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 5567 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_7$ + $ M_6X_1$ + $ M_1M_8$ | 0.6379 | 0.7982 | 0.7991 | [X:[1.3913], M:[1.2174, 1.0435, 1.1304, 1.0, 0.7826, 0.6087, 0.8696, 0.7826], q:[0.7609, 0.3261], qb:[0.4565, 0.5435], phi:[0.4783]] | 2*t^2.35 + t^2.61 + t^3. + t^3.13 + t^3.26 + t^3.39 + t^3.78 + t^3.91 + t^4.04 + t^4.17 + t^4.43 + 4*t^4.7 + 2*t^4.96 + t^5.22 + t^5.35 + 2*t^5.48 + 2*t^5.61 + 2*t^5.74 + t^5.87 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 7761/12167, c: 155387/194672, X1: 32/23, M1: 28/23, M2: 24/23, M3: 26/23, M4: 1, M5: 18/23, M6: 14/23, M7: 20/23, M8: 18/23, q1: 35/46, q2: 15/46, qb1: 21/46, qb2: 25/46, phi1: 11/23} |
| 5564 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_7$ + $ M_6X_1$ + $ M_2M_8$ | 0.6244 | 0.7739 | 0.8069 | [X:[1.3913], M:[1.2174, 1.0435, 1.1304, 1.0, 0.7826, 0.6087, 0.8696, 0.9565], q:[0.7609, 0.3261], qb:[0.4565, 0.5435], phi:[0.4783]] | t^2.35 + t^2.61 + t^2.87 + t^3. + t^3.26 + t^3.39 + t^3.65 + t^3.78 + t^3.91 + t^4.04 + t^4.17 + t^4.43 + 2*t^4.7 + t^4.96 + 2*t^5.22 + t^5.48 + t^5.61 + t^5.74 + 2*t^5.87 - t^4.43/y - t^4.43*y | detail | {a: 15195/24334, c: 150655/194672, X1: 32/23, M1: 28/23, M2: 24/23, M3: 26/23, M4: 1, M5: 18/23, M6: 14/23, M7: 20/23, M8: 22/23, q1: 35/46, q2: 15/46, qb1: 21/46, qb2: 25/46, phi1: 11/23} |
| 5566 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_7$ + $ M_6X_1$ + $ M_3M_8$ | 0.632 | 0.7869 | 0.8032 | [X:[1.3913], M:[1.2174, 1.0435, 1.1304, 1.0, 0.7826, 0.6087, 0.8696, 0.8696], q:[0.7609, 0.3261], qb:[0.4565, 0.5435], phi:[0.4783]] | t^2.35 + 2*t^2.61 + t^3. + t^3.13 + t^3.26 + t^3.65 + t^3.78 + t^3.91 + t^4.04 + t^4.17 + t^4.43 + 2*t^4.7 + 2*t^4.96 + 3*t^5.22 + t^5.48 + 2*t^5.61 + t^5.74 + 2*t^5.87 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 61515/97336, c: 153183/194672, X1: 32/23, M1: 28/23, M2: 24/23, M3: 26/23, M4: 1, M5: 18/23, M6: 14/23, M7: 20/23, M8: 20/23, q1: 35/46, q2: 15/46, qb1: 21/46, qb2: 25/46, phi1: 11/23} |
| 5563 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_7$ + $ M_6X_1$ + $ M_7M_8$ | 0.6088 | 0.7474 | 0.8146 | [X:[1.3913], M:[1.2174, 1.0435, 1.1304, 1.0, 0.7826, 0.6087, 0.8696, 1.1304], q:[0.7609, 0.3261], qb:[0.4565, 0.5435], phi:[0.4783]] | t^2.35 + t^3. + t^3.13 + t^3.26 + 2*t^3.39 + t^3.65 + t^3.78 + t^3.91 + t^4.04 + t^4.17 + t^4.43 + 2*t^4.7 + t^5.48 + t^5.74 - t^6. - t^4.43/y - t^4.43*y | detail | {a: 7407/12167, c: 145491/194672, X1: 32/23, M1: 28/23, M2: 24/23, M3: 26/23, M4: 1, M5: 18/23, M6: 14/23, M7: 20/23, M8: 26/23, q1: 35/46, q2: 15/46, qb1: 21/46, qb2: 25/46, phi1: 11/23} |
| 5565 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_7$ + $ M_6X_1$ + $ M_8q_1q_2$ | 0.6283 | 0.7805 | 0.805 | [X:[1.3913], M:[1.2174, 1.0435, 1.1304, 1.0, 0.7826, 0.6087, 0.8696, 0.913], q:[0.7609, 0.3261], qb:[0.4565, 0.5435], phi:[0.4783]] | t^2.35 + t^2.61 + t^2.74 + t^3. + t^3.13 + t^3.39 + t^3.65 + t^3.78 + t^3.91 + t^4.04 + t^4.17 + t^4.43 + 2*t^4.7 + t^4.96 + t^5.09 + t^5.22 + t^5.35 + 2*t^5.48 + 2*t^5.74 + t^5.87 - t^4.43/y - t^4.43*y | detail | {a: 61161/97336, c: 75973/97336, X1: 32/23, M1: 28/23, M2: 24/23, M3: 26/23, M4: 1, M5: 18/23, M6: 14/23, M7: 20/23, M8: 21/23, q1: 35/46, q2: 15/46, qb1: 21/46, qb2: 25/46, phi1: 11/23} |
| 5568 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ + $ M_3M_7$ + $ M_6X_1$ + $ M_8q_1\tilde{q}_2$ | 0.641 | 0.8067 | 0.7945 | [X:[1.3913], M:[1.2174, 1.0435, 1.1304, 1.0, 0.7826, 0.6087, 0.8696, 0.6957], q:[0.7609, 0.3261], qb:[0.4565, 0.5435], phi:[0.4783]] | t^2.09 + t^2.35 + t^2.61 + t^3. + t^3.13 + t^3.26 + t^3.39 + t^3.65 + t^3.78 + t^4.04 + 2*t^4.17 + 2*t^4.43 + 3*t^4.7 + t^4.96 + t^5.09 + 2*t^5.22 + t^5.35 + 2*t^5.48 + t^5.61 + 2*t^5.74 + 2*t^5.87 - t^4.43/y - t^4.43*y | detail | {a: 62391/97336, c: 157051/194672, X1: 32/23, M1: 28/23, M2: 24/23, M3: 26/23, M4: 1, M5: 18/23, M6: 14/23, M7: 20/23, M8: 16/23, q1: 35/46, q2: 15/46, qb1: 21/46, qb2: 25/46, phi1: 11/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1624 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_2^2$ | 0.6771 | 0.8472 | 0.7991 | [X:[], M:[1.168, 1.1094, 0.9492, 1.0, 0.832, 0.7735, 0.6718], q:[0.7773, 0.4414], qb:[0.3906, 0.6094], phi:[0.4453]] | t^2.02 + t^2.32 + t^2.5 + t^2.85 + t^3. + t^3.33 + t^3.5 + t^3.66 + t^3.83 + t^4.03 + t^4.16 + 2*t^4.34 + t^4.49 + t^4.51 + t^4.64 + t^4.82 + t^4.86 + 2*t^4.99 + t^5.02 + t^5.17 + t^5.32 + t^5.34 + t^5.52 + t^5.65 + t^5.67 + t^5.7 + 2*t^5.82 + t^5.85 + t^5.98 - t^6. - t^4.34/y - t^4.34*y | detail |