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 |
|---|---|---|---|---|---|---|---|---|---|
| 871 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6257 | 0.8329 | 0.7513 | [X:[], M:[0.9213, 1.2362, 0.7638, 0.7638, 0.6968], q:[0.7303, 0.3484], qb:[0.3484, 0.4154], phi:[0.5394]] | [X:[], M:[[4], [-12], [12], [12], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_1$, $ M_3$, $ M_4$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_5$, $ M_4M_5$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$ | $M_3\phi_1q_2^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_5\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1^2\tilde{q}_2$ | 3 | 2*t^2.09 + 3*t^2.29 + t^2.76 + 2*t^3.24 + t^3.44 + 2*t^3.71 + t^3.91 + t^4.11 + 3*t^4.18 + 6*t^4.38 + 6*t^4.58 + 2*t^4.85 + 3*t^5.06 + 4*t^5.33 + 8*t^5.53 + 3*t^5.73 + 2*t^5.8 + 3*t^6. + 3*t^6.2 + 4*t^6.27 + 3*t^6.4 + 9*t^6.47 + 12*t^6.67 + 11*t^6.87 + 4*t^6.94 + 4*t^7.15 + 7*t^7.35 + 6*t^7.42 + t^7.55 + 9*t^7.62 + 15*t^7.82 + 2*t^7.89 + 7*t^8.02 - t^8.09 + t^8.22 + 2*t^8.29 + 5*t^8.36 + 6*t^8.49 + 10*t^8.56 + 6*t^8.69 + 13*t^8.76 + 20*t^8.96 - t^4.62/y - t^6.71/y - t^6.91/y + t^7.18/y + (6*t^7.38)/y + (3*t^7.58)/y + (2*t^7.85)/y + (3*t^8.06)/y + (5*t^8.33)/y + (9*t^8.53)/y + (3*t^8.73)/y + (3*t^8.8)/y - t^4.62*y - t^6.71*y - t^6.91*y + t^7.18*y + 6*t^7.38*y + 3*t^7.58*y + 2*t^7.85*y + 3*t^8.06*y + 5*t^8.33*y + 9*t^8.53*y + 3*t^8.73*y + 3*t^8.8*y | (2*t^2.09)/g1^10 + 3*g1^12*t^2.29 + g1^4*t^2.76 + (2*t^3.24)/g1^4 + g1^18*t^3.44 + (2*t^3.71)/g1^12 + g1^10*t^3.91 + g1^32*t^4.11 + (3*t^4.18)/g1^20 + 6*g1^2*t^4.38 + 6*g1^24*t^4.58 + (2*t^4.85)/g1^6 + 3*g1^16*t^5.06 + (4*t^5.33)/g1^14 + 8*g1^8*t^5.53 + 3*g1^30*t^5.73 + (2*t^5.8)/g1^22 + 3*t^6. + 3*g1^22*t^6.2 + (4*t^6.27)/g1^30 + 3*g1^44*t^6.4 + (9*t^6.47)/g1^8 + 12*g1^14*t^6.67 + 11*g1^36*t^6.87 + (4*t^6.94)/g1^16 + 4*g1^6*t^7.15 + 7*g1^28*t^7.35 + (6*t^7.42)/g1^24 + g1^50*t^7.55 + (9*t^7.62)/g1^2 + 15*g1^20*t^7.82 + (2*t^7.89)/g1^32 + 7*g1^42*t^8.02 - t^8.09/g1^10 + g1^64*t^8.22 + 2*g1^12*t^8.29 + (5*t^8.36)/g1^40 + 6*g1^34*t^8.49 + (10*t^8.56)/g1^18 + 6*g1^56*t^8.69 + 13*g1^4*t^8.76 + 20*g1^26*t^8.96 - t^4.62/(g1^2*y) - t^6.71/(g1^12*y) - (g1^10*t^6.91)/y + t^7.18/(g1^20*y) + (6*g1^2*t^7.38)/y + (3*g1^24*t^7.58)/y + (2*t^7.85)/(g1^6*y) + (3*g1^16*t^8.06)/y + (5*t^8.33)/(g1^14*y) + (9*g1^8*t^8.53)/y + (3*g1^30*t^8.73)/y + (3*t^8.8)/(g1^22*y) - (t^4.62*y)/g1^2 - (t^6.71*y)/g1^12 - g1^10*t^6.91*y + (t^7.18*y)/g1^20 + 6*g1^2*t^7.38*y + 3*g1^24*t^7.58*y + (2*t^7.85*y)/g1^6 + 3*g1^16*t^8.06*y + (5*t^8.33*y)/g1^14 + 9*g1^8*t^8.53*y + 3*g1^30*t^8.73*y + (3*t^8.8*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1365 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2^2$ | 0.6444 | 0.8674 | 0.7428 | [X:[], M:[0.9187, 1.244, 0.756, 0.756, 0.7033, 0.756], q:[0.7297, 0.3517], qb:[0.3517, 0.4044], phi:[0.5407]] | 2*t^2.11 + 4*t^2.27 + t^2.76 + 2*t^3.24 + t^3.4 + t^3.73 + t^3.89 + t^4.05 + 3*t^4.22 + 8*t^4.38 + 10*t^4.54 + 2*t^4.87 + 4*t^5.02 + 4*t^5.35 + 10*t^5.51 + 4*t^5.67 + t^6. - t^4.62/y - t^4.62*y | detail | |
| 1366 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6463 | 0.8724 | 0.7409 | [X:[], M:[0.922, 1.2339, 0.7661, 0.7661, 0.6949, 0.6949], q:[0.7305, 0.3475], qb:[0.3475, 0.4186], phi:[0.539]] | 3*t^2.08 + 3*t^2.3 + t^2.77 + 2*t^3.23 + t^3.45 + 2*t^3.7 + t^4.13 + 6*t^4.17 + 9*t^4.38 + 6*t^4.6 + 3*t^4.85 + 3*t^5.06 + 6*t^5.32 + 9*t^5.53 + 3*t^5.75 + 4*t^5.79 + t^6. - t^4.62/y - t^4.62*y | detail | |
| 2051 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6396 | 0.8561 | 0.7471 | [X:[], M:[0.9275, 1.2175, 0.7825, 0.7825, 0.6812, 0.8262], q:[0.7319, 0.3406], qb:[0.3406, 0.4419], phi:[0.5362]] | 2*t^2.04 + 3*t^2.35 + t^2.48 + t^2.78 + 2*t^3.22 + 2*t^3.65 + t^3.96 + 3*t^4.09 + t^4.26 + 6*t^4.39 + 2*t^4.52 + 6*t^4.7 + 5*t^4.83 + t^4.96 + 3*t^5.13 + 5*t^5.26 + 6*t^5.57 + 4*t^5.7 + 3*t^6. - t^4.61/y - t^4.61*y | detail | |
| 1364 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ \phi_1q_2^3\tilde{q}_1$ | 0.6219 | 0.8322 | 0.7474 | [X:[], M:[0.9091, 1.2727, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 5*t^2.18 + t^2.73 + 3*t^3.27 + 4*t^3.82 + 15*t^4.36 + 5*t^4.91 + 15*t^5.45 + 11*t^6. - t^4.64/y - t^4.64*y | detail | {a: 13245/21296, c: 8861/10648, M1: 10/11, M2: 14/11, M3: 8/11, M4: 8/11, M5: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 556 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ | 0.6052 | 0.7938 | 0.7624 | [X:[], M:[0.9204, 1.2388, 0.7612, 0.7612], q:[0.7301, 0.3495], qb:[0.3495, 0.4117], phi:[0.5398]] | t^2.1 + 3*t^2.28 + t^2.76 + 2*t^3.24 + t^3.43 + 2*t^3.72 + 2*t^3.9 + t^4.09 + t^4.19 + 3*t^4.38 + 6*t^4.57 + t^4.86 + 3*t^5.04 + 2*t^5.34 + 7*t^5.52 + 3*t^5.71 + 3*t^6. - t^4.62/y - t^4.62*y | detail |