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 |
---|---|---|---|---|---|---|---|---|---|
46674 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1^2$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.8673, 0.9336, 1.0664], q:[0.5498, 0.4502], qb:[0.583, 0.4834], phi:[0.4834]] | [X:[], M:[[0], [8], [4], [-4]], q:[[-3], [3]], qb:[[-5], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ \phi_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_4$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_3$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3^2$, $ M_3\phi_1^2$, $ M_2q_2\tilde{q}_1$, $ M_1M_3$, $ M_2M_4$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_3q_1\tilde{q}_2$ | $\phi_1^2q_1\tilde{q}_2$ | 0 | t^2.6 + t^2.8 + t^2.9 + t^3. + 2*t^3.1 + t^3.2 + t^4.15 + t^4.25 + t^4.35 + t^4.45 + 2*t^4.55 + t^4.65 + t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^6.1 + 2*t^6.2 + t^6.75 + t^6.85 + 2*t^6.95 + 2*t^7.05 + 3*t^7.15 + 3*t^7.25 + 3*t^7.35 + 3*t^7.45 + 3*t^7.55 + 2*t^7.65 + 2*t^7.75 + t^7.81 + 2*t^7.85 + t^7.95 + t^8. + t^8.05 + t^8.1 + t^8.15 + t^8.2 + 2*t^8.3 + 3*t^8.4 + t^8.5 + t^8.6 + 3*t^8.7 - t^8.8 - t^4.45/y - t^7.05/y - t^7.35/y + t^7.55/y + t^7.85/y + t^8.4/y + t^8.5/y + t^8.6/y + (3*t^8.7)/y + (2*t^8.8)/y + (3*t^8.9)/y - t^4.45*y - t^7.05*y - t^7.35*y + t^7.55*y + t^7.85*y + t^8.4*y + t^8.5*y + t^8.6*y + 3*t^8.7*y + 2*t^8.8*y + 3*t^8.9*y | g1^8*t^2.6 + g1^4*t^2.8 + g1^2*t^2.9 + t^3. + (2*t^3.1)/g1^2 + t^3.2/g1^4 + g1^7*t^4.15 + g1^5*t^4.25 + g1^3*t^4.35 + g1*t^4.45 + (2*t^4.55)/g1 + t^4.65/g1^3 + t^4.75/g1^5 + t^4.85/g1^7 + t^4.95/g1^9 + g1^16*t^5.2 + g1^12*t^5.4 + g1^10*t^5.5 + g1^8*t^5.6 + g1^6*t^5.7 + 2*g1^4*t^5.8 + g1^2*t^5.9 + t^6.1/g1^2 + (2*t^6.2)/g1^4 + g1^15*t^6.75 + g1^13*t^6.85 + 2*g1^11*t^6.95 + 2*g1^9*t^7.05 + 3*g1^7*t^7.15 + 3*g1^5*t^7.25 + 3*g1^3*t^7.35 + 3*g1*t^7.45 + (3*t^7.55)/g1 + (2*t^7.65)/g1^3 + (2*t^7.75)/g1^5 + g1^24*t^7.81 + (2*t^7.85)/g1^7 + t^7.95/g1^9 + g1^20*t^8. + t^8.05/g1^11 + g1^18*t^8.1 + t^8.15/g1^13 + g1^16*t^8.2 + 2*g1^14*t^8.3 + 3*g1^12*t^8.4 + g1^10*t^8.5 + g1^8*t^8.6 + 3*g1^6*t^8.7 - g1^4*t^8.8 - (g1*t^4.45)/y - (g1^9*t^7.05)/y - (g1^3*t^7.35)/y + t^7.55/(g1*y) + t^7.85/(g1^7*y) + (g1^12*t^8.4)/y + (g1^10*t^8.5)/y + (g1^8*t^8.6)/y + (3*g1^6*t^8.7)/y + (2*g1^4*t^8.8)/y + (3*g1^2*t^8.9)/y - g1*t^4.45*y - g1^9*t^7.05*y - g1^3*t^7.35*y + (t^7.55*y)/g1 + (t^7.85*y)/g1^7 + g1^12*t^8.4*y + g1^10*t^8.5*y + g1^8*t^8.6*y + 3*g1^6*t^8.7*y + 2*g1^4*t^8.8*y + 3*g1^2*t^8.9*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 |
---|---|---|---|---|---|---|---|---|
46980 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1^2$ + $ M_4M_5$ | 0.7095 | 0.8749 | 0.811 | [X:[], M:[1.0, 0.8342, 0.9171, 1.0829, 0.9171], q:[0.5622, 0.4378], qb:[0.6036, 0.4793], phi:[0.4793]] | t^2.5 + 2*t^2.75 + t^2.88 + t^3. + 2*t^3.12 + t^4.06 + t^4.19 + t^4.31 + t^4.44 + 2*t^4.56 + t^4.69 + t^4.81 + t^4.94 + t^5.01 + t^5.06 + 2*t^5.25 + t^5.38 + 3*t^5.5 + 2*t^5.63 + 2*t^5.75 + 3*t^5.88 - t^6. - t^4.44/y - t^4.44*y | detail | |
47101 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ + $ M_1^2$ + $ \phi_1\tilde{q}_1^2$ + $ M_2X_1$ | 0.6173 | 0.7562 | 0.8163 | [X:[1.4444], M:[1.0, 0.5556, 0.7778, 1.2222], q:[0.6667, 0.3333], qb:[0.7778, 0.4444], phi:[0.4444]] | t^2.33 + t^2.67 + t^3. + 3*t^3.33 + 2*t^3.67 + t^4. + 2*t^4.33 + 2*t^4.67 + 2*t^5.33 + 3*t^5.67 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 50/81, c: 245/324, X1: 13/9, M1: 1, M2: 5/9, M3: 7/9, M4: 11/9, q1: 2/3, q2: 1/3, qb1: 7/9, qb2: 4/9, phi1: 4/9} |
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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46233 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3M_4$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7271 | 0.893 | 0.8142 | [X:[], M:[0.7947, 0.7947, 1.0, 1.0], q:[0.654, 0.5513], qb:[0.5513, 0.4487], phi:[0.4487]] | 2*t^2.38 + t^2.69 + 2*t^3. + 2*t^3.31 + t^4.04 + 2*t^4.35 + 4*t^4.65 + 3*t^4.77 + 2*t^4.96 + 2*t^5.08 + t^5.27 + 4*t^5.38 + 2*t^5.69 - t^6. - t^4.35/y - t^4.35*y | detail |