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 |
|---|---|---|---|---|---|---|---|---|---|
| 4783 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_2\phi_1q_2^2$ | 0.6906 | 0.8676 | 0.796 | [X:[], M:[0.994, 0.7784, 0.9401, 0.8323, 1.1677, 1.1138, 0.7246, 0.8323], q:[0.6168, 0.3892], qb:[0.4431, 0.7784], phi:[0.4431]] | [X:[], M:[[-18], [2], [-13], [-3], [3], [8], [7], [-3]], q:[[17], [1]], qb:[[-4], [2]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_2$, $ M_4$, $ M_8$, $ M_3$, $ M_1$, $ M_6$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1q_2$, $ M_2M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_4M_7$, $ M_7M_8$, $ M_2M_4$, $ M_2M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_4^2$, $ M_3M_7$, $ M_4M_8$, $ M_8^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2M_3$, $ M_1M_7$, $ M_1M_2$, $ M_3M_4$, $ M_3M_8$, $ M_1M_4$, $ M_1M_8$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_2M_6$, $ M_1M_3$, $ M_4M_6$, $ M_6M_8$, $ M_7\phi_1q_2^2$, $ M_1^2$ | . | -2 | t^2.17 + t^2.34 + 2*t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.66 + t^3.99 + t^4.19 + 2*t^4.35 + 2*t^4.51 + 3*t^4.67 + 2*t^4.83 + 4*t^4.99 + t^5.03 + 2*t^5.16 + 2*t^5.32 + t^5.48 + t^5.52 + t^5.64 + t^5.68 + t^5.8 + 2*t^5.84 + t^5.96 - 2*t^6. + 2*t^6.16 + t^6.32 + t^6.36 + 2*t^6.48 + 2*t^6.52 + 4*t^6.68 + 4*t^6.84 + t^6.97 + 4*t^7.01 + 5*t^7.17 + t^7.2 + 5*t^7.33 + t^7.37 + 6*t^7.49 + 2*t^7.53 + 3*t^7.65 + t^7.69 + 3*t^7.81 + t^7.85 + 4*t^7.98 + 2*t^8.01 + 3*t^8.14 - 2*t^8.17 + 2*t^8.3 + t^8.37 + 2*t^8.46 - 3*t^8.5 + t^8.53 + t^8.62 + 2*t^8.66 + 3*t^8.69 + t^8.78 - 2*t^8.82 + 3*t^8.86 + t^8.95 - t^4.33/y - t^6.5/y - t^6.66/y - t^6.83/y - t^7.15/y - t^7.31/y + t^7.35/y + (2*t^7.51)/y + (2*t^7.67)/y + (3*t^7.83)/y + (3*t^7.99)/y + (3*t^8.16)/y + (3*t^8.32)/y + (2*t^8.48)/y + t^8.52/y + t^8.8/y + (2*t^8.84)/y - t^4.33*y - t^6.5*y - t^6.66*y - t^6.83*y - t^7.15*y - t^7.31*y + t^7.35*y + 2*t^7.51*y + 2*t^7.67*y + 3*t^7.83*y + 3*t^7.99*y + 3*t^8.16*y + 3*t^8.32*y + 2*t^8.48*y + t^8.52*y + t^8.8*y + 2*t^8.84*y | g1^7*t^2.17 + g1^2*t^2.34 + (2*t^2.5)/g1^3 + t^2.82/g1^13 + t^2.98/g1^18 + g1^8*t^3.34 + t^3.66/g1^2 + t^3.99/g1^12 + g1^19*t^4.19 + 2*g1^14*t^4.35 + 2*g1^9*t^4.51 + 3*g1^4*t^4.67 + (2*t^4.83)/g1 + (4*t^4.99)/g1^6 + g1^30*t^5.03 + (2*t^5.16)/g1^11 + (2*t^5.32)/g1^16 + t^5.48/g1^21 + g1^15*t^5.52 + t^5.64/g1^26 + g1^10*t^5.68 + t^5.8/g1^31 + 2*g1^5*t^5.84 + t^5.96/g1^36 - 2*t^6. + (2*t^6.16)/g1^5 + t^6.32/g1^10 + g1^26*t^6.36 + (2*t^6.48)/g1^15 + 2*g1^21*t^6.52 + 4*g1^16*t^6.68 + 4*g1^11*t^6.84 + t^6.97/g1^30 + 4*g1^6*t^7.01 + 5*g1*t^7.17 + g1^37*t^7.2 + (5*t^7.33)/g1^4 + g1^32*t^7.37 + (6*t^7.49)/g1^9 + 2*g1^27*t^7.53 + (3*t^7.65)/g1^14 + g1^22*t^7.69 + (3*t^7.81)/g1^19 + g1^17*t^7.85 + (4*t^7.98)/g1^24 + 2*g1^12*t^8.01 + (3*t^8.14)/g1^29 - 2*g1^7*t^8.17 + (2*t^8.3)/g1^34 + g1^38*t^8.37 + (2*t^8.46)/g1^39 - (3*t^8.5)/g1^3 + g1^33*t^8.53 + t^8.62/g1^44 + (2*t^8.66)/g1^8 + 3*g1^28*t^8.69 + t^8.78/g1^49 - (2*t^8.82)/g1^13 + 3*g1^23*t^8.86 + t^8.95/g1^54 - t^4.33/(g1^4*y) - (g1^3*t^6.5)/y - t^6.66/(g1^2*y) - t^6.83/(g1^7*y) - t^7.15/(g1^17*y) - t^7.31/(g1^22*y) + (g1^14*t^7.35)/y + (2*g1^9*t^7.51)/y + (2*g1^4*t^7.67)/y + (3*t^7.83)/(g1*y) + (3*t^7.99)/(g1^6*y) + (3*t^8.16)/(g1^11*y) + (3*t^8.32)/(g1^16*y) + (2*t^8.48)/(g1^21*y) + (g1^15*t^8.52)/y + t^8.8/(g1^31*y) + (2*g1^5*t^8.84)/y - (t^4.33*y)/g1^4 - g1^3*t^6.5*y - (t^6.66*y)/g1^2 - (t^6.83*y)/g1^7 - (t^7.15*y)/g1^17 - (t^7.31*y)/g1^22 + g1^14*t^7.35*y + 2*g1^9*t^7.51*y + 2*g1^4*t^7.67*y + (3*t^7.83*y)/g1 + (3*t^7.99*y)/g1^6 + (3*t^8.16*y)/g1^11 + (3*t^8.32*y)/g1^16 + (2*t^8.48*y)/g1^21 + g1^15*t^8.52*y + (t^8.8*y)/g1^31 + 2*g1^5*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 6414 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_2\phi_1q_2^2$ + $ M_2M_9$ | 0.6729 | 0.836 | 0.8048 | [X:[], M:[0.9901, 0.7789, 0.9373, 0.8317, 1.1683, 1.1155, 0.7261, 0.8317, 1.2211], q:[0.6205, 0.3894], qb:[0.4422, 0.7789], phi:[0.4422]] | t^2.18 + 2*t^2.5 + t^2.81 + t^2.97 + t^3.35 + 2*t^3.66 + t^3.98 + t^4.2 + 2*t^4.36 + t^4.51 + 2*t^4.67 + 4*t^4.99 + t^5.05 + t^5.15 + t^5.31 + t^5.47 + t^5.52 + t^5.62 + t^5.78 + 3*t^5.84 + t^5.94 - 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 329467/489648, c: 204679/244824, M1: 100/101, M2: 236/303, M3: 284/303, M4: 84/101, M5: 118/101, M6: 338/303, M7: 220/303, M8: 84/101, M9: 370/303, q1: 188/303, q2: 118/303, qb1: 134/303, qb2: 236/303, phi1: 134/303} |
| 6415 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_2\phi_1q_2^2$ + $ M_3M_9$ | 0.6865 | 0.8622 | 0.7962 | [X:[], M:[1.0381, 0.7735, 0.972, 0.8397, 1.1603, 1.0942, 0.7074, 0.8397, 1.028], q:[0.5751, 0.3868], qb:[0.4529, 0.7735], phi:[0.4529]] | t^2.12 + t^2.32 + 2*t^2.52 + t^3.08 + t^3.11 + t^3.28 + t^3.68 + t^4.05 + t^4.08 + 2*t^4.24 + 2*t^4.44 + 3*t^4.64 + t^4.81 + 2*t^4.84 + 3*t^5.04 + t^5.21 + t^5.24 + 2*t^5.4 + 3*t^5.6 + t^5.63 + 2*t^5.8 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 6416 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_2\phi_1q_2^2$ + $ M_9\phi_1q_2^2$ | 0.7083 | 0.8992 | 0.7877 | [X:[], M:[0.9978, 0.778, 0.9429, 0.833, 1.167, 1.1121, 0.7231, 0.833, 0.778], q:[0.6132, 0.389], qb:[0.444, 0.778], phi:[0.444]] | t^2.17 + 2*t^2.33 + 2*t^2.5 + t^2.83 + t^2.99 + t^3.34 + t^4. + t^4.17 + 2*t^4.34 + 3*t^4.5 + 5*t^4.67 + 4*t^4.83 + 4*t^5. + t^5.01 + 3*t^5.16 + 3*t^5.33 + t^5.49 + t^5.51 + t^5.66 + 2*t^5.67 + t^5.82 + t^5.84 + t^5.99 - 3*t^6. - t^4.33/y - t^4.33*y | detail | |
| 6417 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_2\phi_1q_2^2$ + $ M_9\phi_1\tilde{q}_1^2$ | 0.7114 | 0.909 | 0.7826 | [X:[], M:[0.9948, 0.7784, 0.9407, 0.8325, 1.1675, 1.1134, 0.7242, 0.8325, 0.6701], q:[0.616, 0.3892], qb:[0.4433, 0.7784], phi:[0.4433]] | t^2.01 + t^2.17 + t^2.34 + 2*t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.66 + t^4.02 + 2*t^4.18 + 3*t^4.35 + 4*t^4.51 + 3*t^4.67 + 3*t^4.83 + 5*t^4.99 + t^5.03 + 2*t^5.16 + 2*t^5.32 + t^5.35 + t^5.48 + t^5.51 + t^5.64 + 2*t^5.68 + t^5.81 + 2*t^5.84 + t^5.97 - 2*t^6. - t^4.33/y - t^4.33*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2648 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ | 0.6916 | 0.8693 | 0.7956 | [X:[], M:[1.0001, 0.752, 0.909, 0.843, 1.157, 1.124, 0.719, 0.843], q:[0.624, 0.376], qb:[0.467, 0.781], phi:[0.438]] | t^2.16 + t^2.26 + 2*t^2.53 + t^2.73 + t^3. + t^3.37 + t^3.57 + t^4.12 + t^4.21 + 2*t^4.31 + t^4.41 + t^4.51 + t^4.59 + 2*t^4.69 + 2*t^4.78 + t^4.88 + t^4.98 + 4*t^5.06 + t^5.16 + 2*t^5.26 + t^5.45 + 2*t^5.53 + t^5.63 + t^5.73 + t^5.83 + 2*t^5.9 - 2*t^6. - t^4.31/y - t^4.31*y | detail |