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 |
|---|---|---|---|---|---|---|---|---|---|
| 47090 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1^2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6548 | 0.8694 | 0.7531 | [X:[], M:[0.9458, 0.8373, 0.7289, 0.9458, 0.744], q:[0.7364, 0.3178], qb:[0.4262, 0.4111], phi:[0.5271]] | [X:[], M:[[4], [12], [20], [4], [-18]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_2$, $ M_5$, $ q_2\tilde{q}_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_5$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_2M_3$, $ M_2q_2\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1\tilde{q}_2^2$, $ M_2M_5$, $ \phi_1q_1q_2$, $ M_2q_2\tilde{q}_1$, $ M_5\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_2^2$, $ M_1M_3$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_5$, $ M_4M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_3\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ q_1\tilde{q}_1\tilde{q}_2^2$ | . | -2 | 2*t^2.19 + 2*t^2.23 + 2*t^2.51 + 2*t^2.84 + t^3.44 + t^3.49 + t^4.05 + t^4.09 + t^4.14 + 3*t^4.37 + 4*t^4.42 + 3*t^4.46 + 4*t^4.7 + 4*t^4.74 + 7*t^5.02 + 4*t^5.07 + 4*t^5.35 + 2*t^5.63 + 5*t^5.67 + t^5.72 + t^5.95 - 2*t^6. - t^6.05 + 2*t^6.23 + 4*t^6.28 + 2*t^6.33 + 2*t^6.37 + 6*t^6.56 + 6*t^6.61 + 6*t^6.65 + 4*t^6.7 + 8*t^6.89 + 8*t^6.93 + 6*t^6.98 + 11*t^7.21 + 10*t^7.26 + 4*t^7.3 + t^7.49 + 11*t^7.54 + 5*t^7.58 - t^7.63 + 3*t^7.82 + 12*t^7.86 + 4*t^7.91 + t^7.95 + t^8.1 + 3*t^8.14 + t^8.19 - 7*t^8.23 - t^8.28 + 3*t^8.42 + 8*t^8.47 + t^8.51 - t^8.56 + 3*t^8.6 + 9*t^8.75 + 10*t^8.79 - 2*t^8.84 + 6*t^8.88 + 5*t^8.93 - t^4.58/y - t^6.77/y - t^6.81/y - t^7.09/y + t^7.37/y + (3*t^7.42)/y + t^7.46/y + (4*t^7.7)/y + (5*t^7.74)/y + (5*t^8.02)/y + (5*t^8.07)/y + (5*t^8.35)/y + t^8.39/y + (2*t^8.63)/y + (5*t^8.67)/y + (2*t^8.72)/y + t^8.95/y - t^4.58*y - t^6.77*y - t^6.81*y - t^7.09*y + t^7.37*y + 3*t^7.42*y + t^7.46*y + 4*t^7.7*y + 5*t^7.74*y + 5*t^8.02*y + 5*t^8.07*y + 5*t^8.35*y + t^8.39*y + 2*t^8.63*y + 5*t^8.67*y + 2*t^8.72*y + t^8.95*y | 2*g1^20*t^2.19 + (2*t^2.23)/g1^18 + 2*g1^12*t^2.51 + 2*g1^4*t^2.84 + g1^26*t^3.44 + t^3.49/g1^12 + g1^48*t^4.05 + g1^10*t^4.09 + t^4.14/g1^28 + 3*g1^40*t^4.37 + 4*g1^2*t^4.42 + (3*t^4.46)/g1^36 + 4*g1^32*t^4.7 + (4*t^4.74)/g1^6 + 7*g1^24*t^5.02 + (4*t^5.07)/g1^14 + 4*g1^16*t^5.35 + 2*g1^46*t^5.63 + 5*g1^8*t^5.67 + t^5.72/g1^30 + g1^38*t^5.95 - 2*t^6. - t^6.05/g1^38 + 2*g1^68*t^6.23 + 4*g1^30*t^6.28 + (2*t^6.33)/g1^8 + (2*t^6.37)/g1^46 + 6*g1^60*t^6.56 + 6*g1^22*t^6.61 + (6*t^6.65)/g1^16 + (4*t^6.7)/g1^54 + 8*g1^52*t^6.89 + 8*g1^14*t^6.93 + (6*t^6.98)/g1^24 + 11*g1^44*t^7.21 + 10*g1^6*t^7.26 + (4*t^7.3)/g1^32 + g1^74*t^7.49 + 11*g1^36*t^7.54 + (5*t^7.58)/g1^2 - t^7.63/g1^40 + 3*g1^66*t^7.82 + 12*g1^28*t^7.86 + (4*t^7.91)/g1^10 + t^7.95/g1^48 + g1^96*t^8.1 + 3*g1^58*t^8.14 + g1^20*t^8.19 - (7*t^8.23)/g1^18 - t^8.28/g1^56 + 3*g1^88*t^8.42 + 8*g1^50*t^8.47 + g1^12*t^8.51 - t^8.56/g1^26 + (3*t^8.6)/g1^64 + 9*g1^80*t^8.75 + 10*g1^42*t^8.79 - 2*g1^4*t^8.84 + (6*t^8.88)/g1^34 + (5*t^8.93)/g1^72 - t^4.58/(g1^2*y) - (g1^18*t^6.77)/y - t^6.81/(g1^20*y) - (g1^10*t^7.09)/y + (g1^40*t^7.37)/y + (3*g1^2*t^7.42)/y + t^7.46/(g1^36*y) + (4*g1^32*t^7.7)/y + (5*t^7.74)/(g1^6*y) + (5*g1^24*t^8.02)/y + (5*t^8.07)/(g1^14*y) + (5*g1^16*t^8.35)/y + t^8.39/(g1^22*y) + (2*g1^46*t^8.63)/y + (5*g1^8*t^8.67)/y + (2*t^8.72)/(g1^30*y) + (g1^38*t^8.95)/y - (t^4.58*y)/g1^2 - g1^18*t^6.77*y - (t^6.81*y)/g1^20 - g1^10*t^7.09*y + g1^40*t^7.37*y + 3*g1^2*t^7.42*y + (t^7.46*y)/g1^36 + 4*g1^32*t^7.7*y + (5*t^7.74*y)/g1^6 + 5*g1^24*t^8.02*y + (5*t^8.07*y)/g1^14 + 5*g1^16*t^8.35*y + (t^8.39*y)/g1^22 + 2*g1^46*t^8.63*y + 5*g1^8*t^8.67*y + (2*t^8.72*y)/g1^30 + g1^38*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 50911 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3q_1\tilde{q}_2$ | 0.6477 | 0.857 | 0.7558 | [X:[], M:[0.9565, 0.8696, 0.7826, 0.9565, 0.6957], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 2*t^2.09 + 2*t^2.35 + 2*t^2.61 + 2*t^2.87 + t^3.39 + t^3.65 + t^3.91 + 4*t^4.17 + 5*t^4.43 + 7*t^4.7 + 8*t^4.96 + 7*t^5.22 + 5*t^5.48 + 4*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 126093/194672, c: 83413/97336, M1: 22/23, M2: 20/23, M3: 18/23, M4: 22/23, M5: 16/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
| 55463 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ q_1\tilde{q}_1\tilde{q}_2^2$ | 0.6546 | 0.8684 | 0.7538 | [X:[], M:[0.9474, 0.8421, 0.7368, 0.9474, 0.7368], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 4*t^2.21 + 2*t^2.53 + 2*t^2.84 + 2*t^3.47 + 3*t^4.11 + 10*t^4.42 + 8*t^4.74 + 11*t^5.05 + 4*t^5.37 + 8*t^5.68 - 2*t^6. - t^4.58/y - t^4.58*y | detail | {a: 71841/109744, c: 47653/54872, M1: 18/19, M2: 16/19, M3: 14/19, M4: 18/19, M5: 14/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46491 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1^2$ | 0.6356 | 0.8354 | 0.7609 | [X:[], M:[0.9443, 0.8329, 0.7215, 0.9443], q:[0.7361, 0.3196], qb:[0.431, 0.4019], phi:[0.5279]] | 2*t^2.16 + t^2.25 + 2*t^2.5 + 2*t^2.83 + t^3.41 + t^3.5 + t^3.75 + t^3.99 + t^4.08 + t^4.17 + 3*t^4.33 + 2*t^4.42 + t^4.5 + 4*t^4.66 + 2*t^4.75 + 7*t^5. + 2*t^5.08 + 4*t^5.33 + 2*t^5.58 + 4*t^5.67 + 3*t^5.91 - t^6. - t^4.58/y - t^4.58*y | detail |