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 |
---|---|---|---|---|---|---|---|---|---|
55548 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_1X_1$ + $ M_4M_6$ | 0.6598 | 0.801 | 0.8238 | [X:[1.337], M:[0.663, 1.1123, 0.9607, 0.7416, 0.8877, 1.2584], q:[0.7781, 0.5589], qb:[0.4804, 0.4073], phi:[0.4438]] | [X:[[36]], M:[[-36], [12], [-22], [8], [-12], [-8]], q:[[3], [33]], qb:[[-11], [-1]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_5$, $ \phi_1^2$, $ M_3$, $ q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_6$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | . | -3 | 2*t^2.66 + t^2.88 + t^2.9 + t^3.56 + 2*t^3.78 + t^3.99 + t^4.01 + t^4.21 + t^4.23 + t^4.45 + t^4.69 + 3*t^5.33 + t^5.55 + 2*t^5.56 + t^5.8 - 3*t^6. - t^6.24 + 4*t^6.44 + 3*t^6.66 + 2*t^6.67 + 2*t^6.88 + 2*t^6.89 + t^6.91 + t^7.11 + t^7.13 + 2*t^7.35 + t^7.55 + t^7.58 + 2*t^7.77 + 6*t^7.99 + 2*t^8.01 + 2*t^8.21 + 4*t^8.22 + t^8.24 - t^8.44 + 4*t^8.46 + t^8.65 - 6*t^8.66 + 2*t^8.7 - 3*t^8.88 - 4*t^8.9 + t^8.92 - t^4.33/y - t^6.99/y - t^7.21/y + t^7.45/y + t^7.67/y + t^8.33/y + (2*t^8.55)/y + (2*t^8.56)/y + t^8.78/y - t^4.33*y - t^6.99*y - t^7.21*y + t^7.45*y + t^7.67*y + t^8.33*y + 2*t^8.55*y + 2*t^8.56*y + t^8.78*y | (2*t^2.66)/g1^12 + t^2.88/g1^22 + g1^32*t^2.9 + g1^2*t^3.56 + (2*t^3.78)/g1^8 + t^3.99/g1^18 + g1^36*t^4.01 + t^4.21/g1^28 + g1^26*t^4.23 + g1^16*t^4.45 + g1^60*t^4.69 + (3*t^5.33)/g1^24 + t^5.55/g1^34 + 2*g1^20*t^5.56 + g1^64*t^5.8 - 3*t^6. - g1^44*t^6.24 + (4*t^6.44)/g1^20 + (3*t^6.66)/g1^30 + 2*g1^24*t^6.67 + (2*t^6.88)/g1^40 + 2*g1^14*t^6.89 + g1^68*t^6.91 + g1^4*t^7.11 + g1^58*t^7.13 + 2*g1^48*t^7.35 + t^7.55/g1^16 + g1^92*t^7.58 + (2*t^7.77)/g1^26 + (6*t^7.99)/g1^36 + 2*g1^18*t^8.01 + (2*t^8.21)/g1^46 + 4*g1^8*t^8.22 + g1^62*t^8.24 - t^8.44/g1^2 + 4*g1^52*t^8.46 + t^8.65/g1^66 - (6*t^8.66)/g1^12 + 2*g1^96*t^8.7 - (3*t^8.88)/g1^22 - 4*g1^32*t^8.9 + g1^86*t^8.92 - t^4.33/(g1^6*y) - t^6.99/(g1^18*y) - t^7.21/(g1^28*y) + (g1^16*t^7.45)/y + (g1^6*t^7.67)/y + t^8.33/(g1^24*y) + (2*t^8.55)/(g1^34*y) + (2*g1^20*t^8.56)/y + (g1^10*t^8.78)/y - (t^4.33*y)/g1^6 - (t^6.99*y)/g1^18 - (t^7.21*y)/g1^28 + g1^16*t^7.45*y + g1^6*t^7.67*y + (t^8.33*y)/g1^24 + (2*t^8.55*y)/g1^34 + 2*g1^20*t^8.56*y + g1^10*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 |
---|---|---|---|---|---|---|---|---|
57114 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6807 | 0.8426 | 0.8079 | [X:[1.3367], M:[0.6633, 1.1122, 0.9609, 0.7415, 0.8878, 1.2585, 0.6684], q:[0.7781, 0.5587], qb:[0.4804, 0.4073], phi:[0.4439]] | t^2.01 + 2*t^2.66 + t^2.88 + t^2.9 + t^3.56 + 2*t^3.78 + 2*t^4.01 + t^4.21 + t^4.23 + t^4.45 + 2*t^4.67 + t^4.68 + t^4.89 + t^4.9 + 3*t^5.33 + t^5.55 + 3*t^5.56 + 2*t^5.78 + t^5.8 - 3*t^6. - t^4.33/y - t^4.33*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
47089 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1q_1^2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_2M_5$ + $ M_4q_1\tilde{q}_1$ + $ M_1X_1$ | 0.6792 | 0.8367 | 0.8118 | [X:[1.3317], M:[0.6683, 1.1106, 0.964, 0.7404, 0.8894], q:[0.7776, 0.554], qb:[0.482, 0.4075], phi:[0.4447]] | t^2.22 + 2*t^2.67 + t^2.88 + t^2.89 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.23 + 2*t^4.44 + t^4.66 + 2*t^4.89 + 2*t^5.11 + 3*t^5.34 + 2*t^5.55 + t^5.56 + t^5.77 + t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail |