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 |
---|---|---|---|---|---|---|---|---|---|
524 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_2q_2\tilde{q}_1$ | 0.5648 | 0.7053 | 0.8008 | [X:[], M:[1.0, 1.1009, 0.7982, 1.1009], q:[0.7752, 0.2248], qb:[0.6743, 0.5275], phi:[0.4495]] | [X:[], M:[[0], [4], [-8], [4]], q:[[1], [-1]], qb:[[-3], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_2$, $ M_3$, $ q_2\tilde{q}_1$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_3$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_2q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_2M_3$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^2\tilde{q}_2^2$ | $M_4q_2\tilde{q}_1$ | -1 | t^2.26 + t^2.39 + t^2.7 + t^3. + 2*t^3.3 + t^3.61 + t^3.91 + t^4.05 + t^4.35 + 2*t^4.51 + t^4.79 + 2*t^4.95 + t^5.26 + 3*t^5.39 + t^5.56 + 2*t^5.7 + t^5.86 - t^6. + t^6.17 + 3*t^6.3 - t^6.44 + 3*t^6.61 + t^6.74 + 2*t^6.77 + t^6.91 + t^7.18 + 4*t^7.21 - t^7.35 + 2*t^7.51 + 2*t^7.65 + t^7.79 + 3*t^7.82 + t^7.95 + 3*t^8.09 + 2*t^8.12 - t^8.26 - t^8.39 + 2*t^8.42 + 2*t^8.56 - t^8.7 + 2*t^8.86 - t^4.35/y - t^6.74/y + t^7.05/y + (2*t^7.95)/y + t^8.09/y + t^8.26/y + t^8.39/y + (2*t^8.56)/y + (3*t^8.7)/y + t^8.86/y - t^4.35*y - t^6.74*y + t^7.05*y + 2*t^7.95*y + t^8.09*y + t^8.26*y + t^8.39*y + 2*t^8.56*y + 3*t^8.7*y + t^8.86*y | g1^10*t^2.26 + t^2.39/g1^8 + t^2.7/g1^4 + t^3. + 2*g1^4*t^3.3 + g1^8*t^3.61 + g1^12*t^3.91 + t^4.05/g1^6 + t^4.35/g1^2 + 2*g1^20*t^4.51 + t^4.79/g1^16 + 2*g1^6*t^4.95 + g1^10*t^5.26 + (3*t^5.39)/g1^8 + g1^14*t^5.56 + (2*t^5.7)/g1^4 + g1^18*t^5.86 - t^6. + g1^22*t^6.17 + 3*g1^4*t^6.3 - t^6.44/g1^14 + 3*g1^8*t^6.61 + t^6.74/g1^10 + 2*g1^30*t^6.77 + g1^12*t^6.91 + t^7.18/g1^24 + 4*g1^16*t^7.21 - t^7.35/g1^2 + 2*g1^20*t^7.51 + 2*g1^2*t^7.65 + t^7.79/g1^16 + 3*g1^24*t^7.82 + g1^6*t^7.95 + (3*t^8.09)/g1^12 + 2*g1^28*t^8.12 - g1^10*t^8.26 - t^8.39/g1^8 + 2*g1^32*t^8.42 + 2*g1^14*t^8.56 - t^8.7/g1^4 + 2*g1^18*t^8.86 - t^4.35/(g1^2*y) - t^6.74/(g1^10*y) + t^7.05/(g1^6*y) + (2*g1^6*t^7.95)/y + t^8.09/(g1^12*y) + (g1^10*t^8.26)/y + t^8.39/(g1^8*y) + (2*g1^14*t^8.56)/y + (3*t^8.7)/(g1^4*y) + (g1^18*t^8.86)/y - (t^4.35*y)/g1^2 - (t^6.74*y)/g1^10 + (t^7.05*y)/g1^6 + 2*g1^6*t^7.95*y + (t^8.09*y)/g1^12 + g1^10*t^8.26*y + (t^8.39*y)/g1^8 + 2*g1^14*t^8.56*y + (3*t^8.7*y)/g1^4 + g1^18*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
817 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ + $ M_2q_2\tilde{q}_1$ + $ \phi_1q_2^2\tilde{q}_2^2$ | 0.564 | 0.7029 | 0.8024 | [X:[], M:[1.0, 1.1111, 0.7778, 1.1111], q:[0.7778, 0.2222], qb:[0.6667, 0.5556], phi:[0.4444]] | 2*t^2.33 + t^2.67 + t^3. + 2*t^3.33 + t^3.67 + 2*t^4. + t^4.33 + 3*t^4.67 + 2*t^5. + 4*t^5.33 + 3*t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 731/1296, c: 911/1296, M1: 1, M2: 10/9, M3: 7/9, M4: 10/9, q1: 7/9, q2: 2/9, qb1: 2/3, qb2: 5/9, 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 |
---|---|---|---|---|---|---|---|---|---|
333 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2^2$ | 0.5867 | 0.74 | 0.7929 | [X:[], M:[1.0, 1.0193, 0.9615, 1.0193], q:[0.7548, 0.2452], qb:[0.5193, 0.5193], phi:[0.4904]] | 2*t^2.29 + t^2.88 + t^3. + 2*t^3.06 + 2*t^3.76 + 2*t^3.82 + 6*t^4.59 + 2*t^5.29 + 4*t^5.35 + t^5.77 + t^5.88 + t^5.94 - 5*t^6. - t^4.47/y - t^4.47*y | detail |