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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[-3], [4], [-11], [0], [3], [10], [-12]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_6$, $ M_5$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ M_7^2$, $ q_1\tilde{q}_2$, $ M_6M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_7$, $ M_6^2$, $ M_5M_6$, $ M_3M_7$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ M_3M_6$, $ M_4M_6$, $ M_3M_5$, $ M_2M_7$, $ M_1M_7$, $ M_2M_6$, $ M_7q_1q_2$, $ M_3^2$, $ M_2M_5$, $ M_1M_6$, $ M_3M_4$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_6q_1q_2$ | . | -1 | 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^6.05 + t^6.15 + t^6.18 + t^6.33 + 3*t^6.35 + t^6.48 + t^6.5 + t^6.53 + 3*t^6.66 + t^6.81 + t^6.83 + t^6.88 + t^6.96 + t^6.98 + 2*t^7.01 + t^7.03 + t^7.14 + t^7.16 + t^7.18 + 2*t^7.31 + t^7.34 + t^7.36 + 3*t^7.49 + t^7.53 + t^7.64 + 2*t^7.66 + t^7.69 + t^7.71 + t^7.82 + 2*t^7.84 + t^7.86 + t^7.97 + 2*t^7.99 + t^8.06 + 2*t^8.14 + t^8.19 + t^8.3 + 3*t^8.37 + t^8.47 + t^8.52 + 2*t^8.54 + 2*t^8.65 + 3*t^8.67 + t^8.8 + t^8.82 - t^8.85 + t^8.89 + 3*t^8.98 - t^4.34/y - t^6.35/y - t^6.66/y - t^7.18/y + t^7.34/y + t^7.49/y + t^7.51/y + t^7.82/y + t^7.86/y + (2*t^8.02)/y + t^8.17/y + (2*t^8.32)/y + (2*t^8.34)/y - t^8.37/y + t^8.5/y + t^8.52/y + t^8.65/y + (2*t^8.82)/y + (2*t^8.85)/y - t^4.34*y - t^6.35*y - t^6.66*y - t^7.18*y + t^7.34*y + t^7.49*y + t^7.51*y + t^7.82*y + t^7.86*y + 2*t^8.02*y + t^8.17*y + 2*t^8.32*y + 2*t^8.34*y - t^8.37*y + t^8.5*y + t^8.52*y + t^8.65*y + 2*t^8.82*y + 2*t^8.85*y | t^2.02/g1^12 + g1^10*t^2.32 + g1^3*t^2.5 + t^2.85/g1^11 + t^3. + g1^4*t^3.33 + t^3.5/g1^3 + g1^8*t^3.66 + g1*t^3.83 + t^4.03/g1^24 + g1^5*t^4.16 + (2*t^4.34)/g1^2 + g1^9*t^4.49 + t^4.51/g1^9 + g1^20*t^4.64 + g1^13*t^4.82 + t^4.86/g1^23 + 2*g1^6*t^4.99 + t^5.02/g1^12 + t^5.17/g1 + g1^10*t^5.32 + t^5.34/g1^8 + t^5.52/g1^15 + g1^14*t^5.65 + t^5.67/g1^4 + t^5.7/g1^22 + 2*g1^7*t^5.82 + t^5.85/g1^11 + g1^18*t^5.98 - t^6. + t^6.05/g1^36 + g1^11*t^6.15 + t^6.18/g1^7 + g1^4*t^6.33 + (3*t^6.35)/g1^14 + g1^15*t^6.48 + t^6.5/g1^3 + t^6.53/g1^21 + 3*g1^8*t^6.66 + g1^19*t^6.81 + g1*t^6.83 + t^6.88/g1^35 + g1^30*t^6.96 + g1^12*t^6.98 + (2*t^7.01)/g1^6 + t^7.03/g1^24 + g1^23*t^7.14 + g1^5*t^7.16 + t^7.18/g1^13 + 2*g1^16*t^7.31 + t^7.34/g1^2 + t^7.36/g1^20 + 3*g1^9*t^7.49 + t^7.53/g1^27 + g1^20*t^7.64 + 2*g1^2*t^7.66 + t^7.69/g1^16 + t^7.71/g1^34 + g1^13*t^7.82 + (2*t^7.84)/g1^5 + t^7.86/g1^23 + g1^24*t^7.97 + 2*g1^6*t^7.99 + t^8.06/g1^48 + 2*g1^17*t^8.14 + t^8.19/g1^19 + g1^28*t^8.3 + (3*t^8.37)/g1^26 + g1^21*t^8.47 + t^8.52/g1^15 + (2*t^8.54)/g1^33 + 2*g1^14*t^8.65 + (3*t^8.67)/g1^4 + g1^25*t^8.8 + g1^7*t^8.82 - t^8.85/g1^11 + t^8.89/g1^47 + 3*g1^18*t^8.98 - t^4.34/(g1^2*y) - t^6.35/(g1^14*y) - (g1^8*t^6.66)/y - t^7.18/(g1^13*y) + t^7.34/(g1^2*y) + (g1^9*t^7.49)/y + t^7.51/(g1^9*y) + (g1^13*t^7.82)/y + t^7.86/(g1^23*y) + (2*t^8.02)/(g1^12*y) + t^8.17/(g1*y) + (2*g1^10*t^8.32)/y + (2*t^8.34)/(g1^8*y) - t^8.37/(g1^26*y) + (g1^3*t^8.5)/y + t^8.52/(g1^15*y) + (g1^14*t^8.65)/y + (2*g1^7*t^8.82)/y + (2*t^8.85)/(g1^11*y) - (t^4.34*y)/g1^2 - (t^6.35*y)/g1^14 - g1^8*t^6.66*y - (t^7.18*y)/g1^13 + (t^7.34*y)/g1^2 + g1^9*t^7.49*y + (t^7.51*y)/g1^9 + g1^13*t^7.82*y + (t^7.86*y)/g1^23 + (2*t^8.02*y)/g1^12 + (t^8.17*y)/g1 + 2*g1^10*t^8.32*y + (2*t^8.34*y)/g1^8 - (t^8.37*y)/g1^26 + g1^3*t^8.5*y + (t^8.52*y)/g1^15 + g1^14*t^8.65*y + 2*g1^7*t^8.82*y + (2*t^8.85*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4017 | $\phi_1q_1^2$ + $ 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]] | 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^4.43/y - t^4.43*y | detail | {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} |
| 4018 | $\phi_1q_1^2$ + $ 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_8$ | 0.6742 | 0.8439 | 0.7989 | [X:[], M:[1.179, 1.0947, 0.9897, 1.0, 0.821, 0.7366, 0.716, 1.0103], q:[0.7737, 0.4156], qb:[0.4053, 0.5947], phi:[0.4527]] | t^2.15 + t^2.21 + t^2.46 + t^3. + t^3.03 + t^3.28 + t^3.54 + t^3.57 + t^3.82 + t^4.1 + t^4.3 + 2*t^4.36 + t^4.39 + t^4.42 + t^4.61 + t^4.67 + 2*t^4.93 + t^5.15 + t^5.18 + t^5.21 + t^5.24 + 2*t^5.49 + t^5.69 + t^5.72 + 2*t^5.75 + t^5.78 - t^6. - t^4.36/y - t^4.36*y | detail | {a: 1165/1728, c: 4375/5184, M1: 191/162, M2: 266/243, M3: 481/486, M4: 1, M5: 133/162, M6: 179/243, M7: 58/81, M8: 491/486, q1: 188/243, q2: 101/243, qb1: 197/486, qb2: 289/486, phi1: 110/243} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1040 | 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$ | 0.6562 | 0.806 | 0.8142 | [X:[], M:[1.1685, 1.1087, 0.951, 1.0, 0.8315, 0.7718], q:[0.7772, 0.4402], qb:[0.3913, 0.6087], phi:[0.4456]] | t^2.32 + t^2.49 + t^2.85 + t^3. + t^3.33 + t^3.51 + t^3.65 + t^3.83 + t^3.98 + t^4.16 + t^4.34 + t^4.48 + t^4.63 + t^4.81 + 2*t^4.99 + t^5.17 + t^5.32 + t^5.64 + t^5.71 + 2*t^5.82 + t^5.97 - t^6. - t^4.34/y - t^4.34*y | detail |