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 |
|---|---|---|---|---|---|---|---|---|---|
| 4013 | 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_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.6971 | 0.8846 | 0.788 | [X:[], M:[1.1677, 1.1098, 0.9481, 1.0, 0.8323, 0.7226, 0.7745, 0.6706], q:[0.7774, 0.4421], qb:[0.3902, 0.6098], phi:[0.4451]] | [X:[], M:[[-3], [4], [-11], [0], [3], [-1], [10], [-12]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ M_7$, $ M_5$, $ M_3$, $ M_4$, $ M_2$, $ M_1$, $ q_1q_2$, $ M_8^2$, $ q_1\tilde{q}_2$, $ M_6M_8$, $ M_6^2$, $ M_7M_8$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_8$, $ M_7^2$, $ M_5M_6$, $ M_5M_7$, $ M_3M_8$, $ M_5^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_4M_8$, $ M_4M_6$, $ M_3M_7$, $ M_4M_7$, $ M_3M_5$, $ M_2M_8$, $ M_4M_5$, $ M_2M_6$, $ M_1M_8$, $ M_2M_7$, $ M_1M_6$, $ M_8q_1q_2$, $ M_3^2$, $ M_2M_5$, $ M_1M_7$, $ M_6q_1q_2$, $ M_7q_1q_2$ | . | -1 | t^2.01 + t^2.17 + t^2.32 + t^2.5 + t^2.84 + t^3. + t^3.33 + t^3.5 + t^3.66 + t^4.02 + t^4.16 + t^4.18 + 3*t^4.34 + 2*t^4.49 + t^4.51 + t^4.65 + t^4.66 + t^4.82 + t^4.86 + 2*t^4.99 + 2*t^5.01 + 2*t^5.17 + t^5.32 + t^5.34 + t^5.5 + t^5.51 + t^5.65 + 2*t^5.67 + t^5.69 + 3*t^5.83 + t^5.98 - t^6. + t^6.04 + t^6.17 + t^6.19 + t^6.33 + 4*t^6.35 + t^6.49 + 4*t^6.5 + t^6.52 + 5*t^6.66 + 2*t^6.81 + t^6.83 + t^6.87 + t^6.97 + 2*t^6.99 + 2*t^7.01 + 2*t^7.02 + t^7.14 + 2*t^7.16 + 3*t^7.18 + 2*t^7.32 + 2*t^7.34 + t^7.35 + 3*t^7.49 + t^7.51 + t^7.53 + t^7.65 + 2*t^7.66 + 2*t^7.68 + t^7.7 + 2*t^7.82 + 4*t^7.84 + t^7.86 + t^7.98 + 4*t^7.99 + t^8.05 + 3*t^8.15 - 3*t^8.17 + t^8.19 + t^8.2 + t^8.31 - t^8.32 + 4*t^8.36 + t^8.5 + 5*t^8.51 + 2*t^8.53 + 2*t^8.65 + 7*t^8.67 + t^8.81 + 4*t^8.83 - 2*t^8.84 + t^8.88 + 5*t^8.98 - t^4.34/y - t^6.35/y - t^6.5/y - t^6.66/y + t^7.34/y + (2*t^7.49)/y + t^7.51/y + t^7.66/y + t^7.82/y + t^7.86/y + (3*t^8.01)/y + (3*t^8.17)/y + (2*t^8.32)/y + (2*t^8.34)/y - t^8.36/y + (2*t^8.5)/y + t^8.65/y + (2*t^8.83)/y + t^8.84/y - t^4.34*y - t^6.35*y - t^6.5*y - t^6.66*y + t^7.34*y + 2*t^7.49*y + t^7.51*y + t^7.66*y + t^7.82*y + t^7.86*y + 3*t^8.01*y + 3*t^8.17*y + 2*t^8.32*y + 2*t^8.34*y - t^8.36*y + 2*t^8.5*y + t^8.65*y + 2*t^8.83*y + t^8.84*y | t^2.01/g1^12 + t^2.17/g1 + g1^10*t^2.32 + g1^3*t^2.5 + t^2.84/g1^11 + t^3. + g1^4*t^3.33 + t^3.5/g1^3 + g1^8*t^3.66 + t^4.02/g1^24 + g1^5*t^4.16 + t^4.18/g1^13 + (3*t^4.34)/g1^2 + 2*g1^9*t^4.49 + t^4.51/g1^9 + g1^20*t^4.65 + g1^2*t^4.66 + g1^13*t^4.82 + t^4.86/g1^23 + 2*g1^6*t^4.99 + (2*t^5.01)/g1^12 + (2*t^5.17)/g1 + g1^10*t^5.32 + t^5.34/g1^8 + g1^3*t^5.5 + t^5.51/g1^15 + g1^14*t^5.65 + (2*t^5.67)/g1^4 + t^5.69/g1^22 + 3*g1^7*t^5.83 + g1^18*t^5.98 - t^6. + t^6.04/g1^36 + t^6.17/g1^7 + t^6.19/g1^25 + g1^4*t^6.33 + (4*t^6.35)/g1^14 + g1^15*t^6.49 + (4*t^6.5)/g1^3 + t^6.52/g1^21 + 5*g1^8*t^6.66 + 2*g1^19*t^6.81 + g1*t^6.83 + t^6.87/g1^35 + g1^30*t^6.97 + 2*g1^12*t^6.99 + (2*t^7.01)/g1^6 + (2*t^7.02)/g1^24 + g1^23*t^7.14 + 2*g1^5*t^7.16 + (3*t^7.18)/g1^13 + 2*g1^16*t^7.32 + (2*t^7.34)/g1^2 + t^7.35/g1^20 + 3*g1^9*t^7.49 + t^7.51/g1^9 + t^7.53/g1^27 + g1^20*t^7.65 + 2*g1^2*t^7.66 + (2*t^7.68)/g1^16 + t^7.7/g1^34 + 2*g1^13*t^7.82 + (4*t^7.84)/g1^5 + t^7.86/g1^23 + g1^24*t^7.98 + 4*g1^6*t^7.99 + t^8.05/g1^48 + 3*g1^17*t^8.15 - (3*t^8.17)/g1 + t^8.19/g1^19 + t^8.2/g1^37 + g1^28*t^8.31 - g1^10*t^8.32 + (4*t^8.36)/g1^26 + g1^3*t^8.5 + (5*t^8.51)/g1^15 + (2*t^8.53)/g1^33 + 2*g1^14*t^8.65 + (7*t^8.67)/g1^4 + g1^25*t^8.81 + 4*g1^7*t^8.83 - (2*t^8.84)/g1^11 + t^8.88/g1^47 + 5*g1^18*t^8.98 - t^4.34/(g1^2*y) - t^6.35/(g1^14*y) - t^6.5/(g1^3*y) - (g1^8*t^6.66)/y + t^7.34/(g1^2*y) + (2*g1^9*t^7.49)/y + t^7.51/(g1^9*y) + (g1^2*t^7.66)/y + (g1^13*t^7.82)/y + t^7.86/(g1^23*y) + (3*t^8.01)/(g1^12*y) + (3*t^8.17)/(g1*y) + (2*g1^10*t^8.32)/y + (2*t^8.34)/(g1^8*y) - t^8.36/(g1^26*y) + (2*g1^3*t^8.5)/y + (g1^14*t^8.65)/y + (2*g1^7*t^8.83)/y + t^8.84/(g1^11*y) - (t^4.34*y)/g1^2 - (t^6.35*y)/g1^14 - (t^6.5*y)/g1^3 - g1^8*t^6.66*y + (t^7.34*y)/g1^2 + 2*g1^9*t^7.49*y + (t^7.51*y)/g1^9 + g1^2*t^7.66*y + g1^13*t^7.82*y + (t^7.86*y)/g1^23 + (3*t^8.01*y)/g1^12 + (3*t^8.17*y)/g1 + 2*g1^10*t^8.32*y + (2*t^8.34*y)/g1^8 - (t^8.36*y)/g1^26 + 2*g1^3*t^8.5*y + g1^14*t^8.65*y + 2*g1^7*t^8.83*y + (t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 5559 | $\phi_1q_1^2$ + $ 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_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ + $ M_3M_8$ + $ M_7X_1$ | 0.6398 | 0.8029 | 0.7969 | [X:[1.3913], M:[1.2174, 1.0435, 1.1304, 1.0, 0.7826, 0.7391, 0.6087, 0.8696], q:[0.7609, 0.3261], qb:[0.4565, 0.5435], phi:[0.4783]] | t^2.22 + t^2.35 + t^2.61 + t^3. + t^3.13 + t^3.26 + t^3.39 + t^3.65 + t^3.91 + t^4.04 + t^4.17 + 2*t^4.43 + t^4.57 + 2*t^4.7 + t^4.83 + t^4.96 + 2*t^5.22 + t^5.35 + 2*t^5.48 + 2*t^5.61 + t^5.74 + 2*t^5.87 - t^4.43/y - t^4.43*y | detail | {a: 7785/12167, c: 39075/48668, X1: 32/23, M1: 28/23, M2: 24/23, M3: 26/23, M4: 1, M5: 18/23, M6: 17/23, M7: 14/23, M8: 20/23, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1619 | 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_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6762 | 0.8432 | 0.8019 | [X:[], M:[1.168, 1.1093, 0.9495, 1.0, 0.832, 0.7227, 0.7732], q:[0.7773, 0.4412], qb:[0.3907, 0.6093], phi:[0.4454]] | t^2.17 + t^2.32 + t^2.5 + t^2.85 + t^3. + t^3.33 + t^3.5 + t^3.66 + t^3.98 + t^4.16 + 2*t^4.34 + 2*t^4.49 + t^4.64 + t^4.66 + t^4.82 + 2*t^4.99 + t^5.02 + 2*t^5.17 + t^5.32 + t^5.5 + t^5.65 + t^5.67 + t^5.7 + 3*t^5.82 + t^5.98 - t^6. - t^4.34/y - t^4.34*y | detail |