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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[4], [-12], [-4], [12], [1], [1]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 | {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} |
| 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_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \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_4M_5$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\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_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_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_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -5 | 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. + 3*t^6.22 + 10*t^6.44 + 21*t^6.67 + t^6.89 + 8*t^7.11 + t^7.33 + 19*t^7.56 + 6*t^7.78 + 19*t^8. - 22*t^8.22 + 18*t^8.44 + 13*t^8.67 + 39*t^8.89 - t^4.56/y - (2*t^6.78)/y + (7*t^7.44)/y - t^7.67/y + (4*t^7.89)/y + (10*t^8.33)/y + (4*t^8.56)/y + (10*t^8.78)/y - t^4.56*y - 2*t^6.78*y + 7*t^7.44*y - t^7.67*y + 4*t^7.89*y + 10*t^8.33*y + 4*t^8.56*y + 10*t^8.78*y | 4*g1*t^2.22 + g1^12*t^2.67 + (2*t^3.11)/g1^4 + t^3.33/g1^12 + 2*g1^7*t^3.56 + 3*g1^10*t^4.22 + 10*g1^2*t^4.44 + 4*g1^13*t^4.89 + (8*t^5.33)/g1^3 + g1^24*t^5.33 + (2*t^5.56)/g1^11 + 9*g1^8*t^5.78 - 5*t^6. + t^6.22/g1^8 + 2*g1^19*t^6.22 + (2*t^6.44)/g1^16 + 8*g1^11*t^6.44 + t^6.67/g1^24 + 20*g1^3*t^6.67 - (2*t^6.89)/g1^5 + 3*g1^22*t^6.89 - (2*t^7.11)/g1^13 + 10*g1^14*t^7.11 + g1^6*t^7.33 + (15*t^7.56)/g1^2 + 4*g1^25*t^7.56 + (2*t^7.78)/g1^10 + 4*g1^17*t^7.78 + 18*g1^9*t^8. + g1^36*t^8. - 22*g1*t^8.22 + (4*t^8.44)/g1^7 + 14*g1^20*t^8.44 + (4*t^8.67)/g1^15 + 9*g1^12*t^8.67 + (2*t^8.89)/g1^23 + 35*g1^4*t^8.89 + 2*g1^31*t^8.89 - t^4.56/(g1^2*y) - (2*t^6.78)/(g1*y) + (7*g1^2*t^7.44)/y - t^7.67/(g1^6*y) + (4*g1^13*t^7.89)/y + (10*t^8.33)/(g1^3*y) + (4*t^8.56)/(g1^11*y) + (10*g1^8*t^8.78)/y - (t^4.56*y)/g1^2 - (2*t^6.78*y)/g1 + 7*g1^2*t^7.44*y - (t^7.67*y)/g1^6 + 4*g1^13*t^7.89*y + (10*t^8.33*y)/g1^3 + (4*t^8.56*y)/g1^11 + 10*g1^8*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 2394 | $M_1q_1q_2$ + $ 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_4q_2\tilde{q}_2$ | 0.553 | 0.7261 | 0.7616 | [X:[], M:[1.0769, 0.7692, 0.9231, 1.2308, 0.7692, 0.7692], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 5*t^2.31 + 2*t^2.77 + t^3.69 + 2*t^4.15 + 13*t^4.62 + 13*t^5.08 + t^5.54 - 3*t^6. - t^4.38/y - t^4.38*y | detail | {a: 1215/2197, c: 6381/8788, M1: 14/13, M2: 10/13, M3: 12/13, M4: 16/13, M5: 10/13, M6: 10/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
| 2396 | $M_1q_1q_2$ + $ 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]] | 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^4.54/y - t^4.54*y | detail | |
| 2395 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_2^3\tilde{q}_2$ | 0.6136 | 0.8182 | 0.75 | [X:[], M:[0.9091, 1.2727, 1.0909, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 5*t^2.18 + 4*t^3.27 + 4*t^3.82 + 15*t^4.36 + 19*t^5.45 + 8*t^6. - t^4.64/y - t^4.64*y | detail | {a: 27/44, c: 9/11, M1: 10/11, M2: 14/11, M3: 12/11, M4: 8/11, M5: 8/11, M6: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 848 | 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$ | 0.6133 | 0.7914 | 0.7749 | [X:[], M:[0.9637, 1.1089, 1.0363, 0.8911, 0.7409], q:[0.7409, 0.2954], qb:[0.4455, 0.4455], phi:[0.5182]] | 3*t^2.22 + t^2.67 + 2*t^3.11 + t^3.33 + 2*t^3.56 + t^3.78 + 3*t^4.23 + 6*t^4.45 + 3*t^4.9 + 6*t^5.33 + t^5.35 + t^5.55 + 7*t^5.78 - 2*t^6. - t^4.55/y - t^4.55*y | detail |