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 |
|---|---|---|---|---|---|---|---|---|---|
| 2396 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6488 | 0.8541 | 0.7596 | [X:[], M:[0.9712, 1.0864, 1.0288, 0.9136, 0.7428, 0.7428, 0.8004], q:[0.7428, 0.286], qb:[0.4568, 0.4568], phi:[0.5144]] | [X:[], M:[[4], [-12], [-4], [12], [1], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_7$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5M_7$, $ M_6M_7$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_2$, $ M_7^2$, $ M_4M_5$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_5$, $ M_3M_6$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4^2$, $ M_3M_7$, $ M_7\phi_1^2$, $ M_5\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_7\phi_1q_2^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | $M_4\phi_1q_2^2$, $ M_7q_1\tilde{q}_1$ | -4 | 4*t^2.23 + t^2.4 + t^2.74 + 2*t^3.09 + t^3.26 + t^3.6 + 3*t^4.28 + 10*t^4.46 + 4*t^4.63 + t^4.8 + 4*t^4.97 + t^5.14 + 8*t^5.31 + t^5.48 + 4*t^5.49 + t^5.66 + 5*t^5.83 - 4*t^6. + t^6.17 + t^6.34 + 2*t^6.35 + 8*t^6.51 + t^6.52 + 21*t^6.69 + 7*t^6.86 + 3*t^7.02 + 2*t^7.03 + 9*t^7.2 + 5*t^7.37 + 16*t^7.54 + 4*t^7.71 + 10*t^7.72 + 2*t^7.88 + 4*t^7.89 + 9*t^8.06 + t^8.22 - 17*t^8.23 + 15*t^8.57 + 10*t^8.74 + 4*t^8.75 + 35*t^8.91 + t^8.92 - t^4.54/y - (2*t^6.77)/y - t^6.94/y + (7*t^7.46)/y + (3*t^7.63)/y + (4*t^7.97)/y + (2*t^8.14)/y + (10*t^8.31)/y + (6*t^8.49)/y + t^8.66/y + (6*t^8.83)/y - t^4.54*y - 2*t^6.77*y - t^6.94*y + 7*t^7.46*y + 3*t^7.63*y + 4*t^7.97*y + 2*t^8.14*y + 10*t^8.31*y + 6*t^8.49*y + t^8.66*y + 6*t^8.83*y | 4*g1*t^2.23 + t^2.4/g1^7 + g1^12*t^2.74 + (2*t^3.09)/g1^4 + t^3.26/g1^12 + g1^7*t^3.6 + 3*g1^10*t^4.28 + 10*g1^2*t^4.46 + (4*t^4.63)/g1^6 + t^4.8/g1^14 + 4*g1^13*t^4.97 + g1^5*t^5.14 + (8*t^5.31)/g1^3 + g1^24*t^5.48 + (4*t^5.49)/g1^11 + t^5.66/g1^19 + 5*g1^8*t^5.83 - 4*t^6. + t^6.17/g1^8 + g1^19*t^6.34 + (2*t^6.35)/g1^16 + 8*g1^11*t^6.51 + t^6.52/g1^24 + 21*g1^3*t^6.69 + (7*t^6.86)/g1^5 + 3*g1^22*t^7.02 + (2*t^7.03)/g1^13 + t^7.2/g1^21 + 8*g1^14*t^7.2 + 5*g1^6*t^7.37 + (16*t^7.54)/g1^2 + 4*g1^25*t^7.71 + (10*t^7.72)/g1^10 + 2*g1^17*t^7.88 + (4*t^7.89)/g1^18 + t^8.06/g1^26 + 8*g1^9*t^8.06 + g1^36*t^8.22 - 17*g1*t^8.23 + (5*t^8.57)/g1^15 + 10*g1^20*t^8.57 + 10*g1^12*t^8.74 + (4*t^8.75)/g1^23 + 35*g1^4*t^8.91 + t^8.92/g1^31 - t^4.54/(g1^2*y) - (2*t^6.77)/(g1*y) - t^6.94/(g1^9*y) + (7*g1^2*t^7.46)/y + (3*t^7.63)/(g1^6*y) + (4*g1^13*t^7.97)/y + (2*g1^5*t^8.14)/y + (10*t^8.31)/(g1^3*y) + (6*t^8.49)/(g1^11*y) + t^8.66/(g1^19*y) + (6*g1^8*t^8.83)/y - (t^4.54*y)/g1^2 - (2*t^6.77*y)/g1 - (t^6.94*y)/g1^9 + 7*g1^2*t^7.46*y + (3*t^7.63*y)/g1^6 + 4*g1^13*t^7.97*y + 2*g1^5*t^8.14*y + (10*t^8.31*y)/g1^3 + (6*t^8.49*y)/g1^11 + (t^8.66*y)/g1^19 + 6*g1^8*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 4434 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.6448 | 0.8521 | 0.7568 | [X:[], M:[0.9474, 1.1579, 1.0526, 0.8421, 0.7368, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 4*t^2.21 + 2*t^2.53 + 2*t^3.16 + 2*t^3.47 + 3*t^4.11 + 10*t^4.42 + 8*t^4.74 + 3*t^5.05 + 8*t^5.37 + 9*t^5.68 - 2*t^6. - t^4.58/y - t^4.58*y | detail | {a: 70767/109744, c: 46755/54872, M1: 18/19, M2: 22/19, M3: 20/19, M4: 16/19, M5: 14/19, M6: 14/19, M7: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
| 4435 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.6589 | 0.8742 | 0.7538 | [X:[], M:[0.9543, 1.1371, 1.0457, 0.8629, 0.7386, 0.7386, 0.83, 0.8629], q:[0.7386, 0.3071], qb:[0.4314, 0.4314], phi:[0.5229]] | 4*t^2.22 + t^2.49 + 2*t^2.59 + 2*t^3.14 + t^3.51 + 3*t^4.16 + 10*t^4.43 + 4*t^4.71 + 8*t^4.8 + t^4.98 + 2*t^5.08 + 3*t^5.18 + 8*t^5.35 + 7*t^5.73 - 5*t^6. - t^4.57/y - t^4.57*y | detail | |
| 4436 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_8q_1\tilde{q}_1$ | 0.6656 | 0.8837 | 0.7532 | [X:[], M:[0.9783, 1.0651, 1.0217, 0.9349, 0.7446, 0.7446, 0.788, 0.788], q:[0.7446, 0.2771], qb:[0.4674, 0.4674], phi:[0.5109]] | 4*t^2.23 + 2*t^2.36 + t^2.8 + 2*t^3.07 + t^3.2 + 3*t^4.34 + 10*t^4.47 + 8*t^4.6 + 3*t^4.73 + 4*t^5.04 + 2*t^5.17 + 8*t^5.3 + 6*t^5.43 + 2*t^5.56 + t^5.61 + t^5.87 - 5*t^6. - t^4.53/y - t^4.53*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1345 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6327 | 0.8272 | 0.7649 | [X:[], M:[0.963, 1.1111, 1.037, 0.8889, 0.7407, 0.7407], q:[0.7407, 0.2963], qb:[0.4444, 0.4444], phi:[0.5185]] | 4*t^2.22 + t^2.67 + 2*t^3.11 + t^3.33 + 2*t^3.56 + 3*t^4.22 + 10*t^4.44 + 4*t^4.89 + 9*t^5.33 + 2*t^5.56 + 9*t^5.78 - 5*t^6. - t^4.56/y - t^4.56*y | detail | {a: 205/324, c: 67/81, M1: 26/27, M2: 10/9, M3: 28/27, M4: 8/9, M5: 20/27, M6: 20/27, q1: 20/27, q2: 8/27, qb1: 4/9, qb2: 4/9, phi1: 14/27} |