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 |
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512 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 1.0, 0.8355], q:[0.6645, 0.5], qb:[0.5, 0.6645], phi:[0.4177]] | [X:[], M:[[-2, -2], [-6, -2], [2, -2], [0, 0], [-2, -2]], q:[[4, 2], [-2, 0]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_2$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_4$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_2^2$, $ M_1M_2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3^2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$ | . | -7 | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. + t^6.49 + 11*t^6.76 + 16*t^7.25 + 35*t^7.52 + 8*t^7.75 + t^7.97 - 2*t^8.01 - 5*t^8.24 - 30*t^8.51 - 3*t^8.73 - t^4.25/y - (5*t^6.76)/y + (5*t^7.75)/y + (10*t^8.01)/y + (5*t^8.51)/y - t^4.25*y - 5*t^6.76*y + 5*t^7.75*y + 10*t^8.01*y + 5*t^8.51*y | t^2.51/(g1^6*g2^2) + (3*t^2.51)/(g1^2*g2^2) + (g1^2*t^2.51)/g2^2 + t^3. + g1^4*g2^4*t^3.99 + t^4.25/(g1^5*g2) + t^4.25/(g1*g2) + (g1^3*t^4.25)/g2 + (g2*t^4.75)/g1^3 + 2*g1*g2*t^4.75 + g1^5*g2*t^4.75 + (3*t^5.01)/g2^4 + t^5.01/(g1^12*g2^4) + (3*t^5.01)/(g1^8*g2^4) + (7*t^5.01)/(g1^4*g2^4) + (g1^4*t^5.01)/g2^4 + (g2^3*t^5.24)/g1 + g1^3*g2^3*t^5.24 + g1^7*g2^3*t^5.24 + t^5.51/(g1^2*g2^2) - 3*t^6. - (2*t^6.)/g1^4 - 2*g1^4*t^6. + g1^2*g2^2*t^6.49 + t^6.76/(g1^11*g2^3) + (3*t^6.76)/(g1^7*g2^3) + (3*t^6.76)/(g1^3*g2^3) + (3*g1*t^6.76)/g2^3 + (g1^5*t^6.76)/g2^3 + t^7.25/(g1^9*g2) + (4*t^7.25)/(g1^5*g2) + (6*t^7.25)/(g1*g2) + (4*g1^3*t^7.25)/g2 + (g1^7*t^7.25)/g2 + t^7.52/(g1^18*g2^6) + (3*t^7.52)/(g1^14*g2^6) + (7*t^7.52)/(g1^10*g2^6) + (13*t^7.52)/(g1^6*g2^6) + (7*t^7.52)/(g1^2*g2^6) + (3*g1^2*t^7.52)/g2^6 + (g1^6*t^7.52)/g2^6 + (g2*t^7.75)/g1^7 + (2*g2*t^7.75)/g1^3 + 2*g1*g2*t^7.75 + 2*g1^5*g2*t^7.75 + g1^9*g2*t^7.75 + g1^8*g2^8*t^7.97 - t^8.01/g2^4 - t^8.01/(g1^8*g2^4) - (g2^3*t^8.24)/g1 - 3*g1^3*g2^3*t^8.24 - g1^7*g2^3*t^8.24 - t^8.51/(g1^10*g2^2) - (8*t^8.51)/(g1^6*g2^2) - (12*t^8.51)/(g1^2*g2^2) - (8*g1^2*t^8.51)/g2^2 - (g1^6*t^8.51)/g2^2 - g1*g2^5*t^8.73 - g1^5*g2^5*t^8.73 - g1^9*g2^5*t^8.73 - t^4.25/(g1*g2*y) - t^6.76/(g1^7*g2^3*y) - (3*t^6.76)/(g1^3*g2^3*y) - (g1*t^6.76)/(g2^3*y) + (g2*t^7.75)/(g1^3*y) + (3*g1*g2*t^7.75)/y + (g1^5*g2*t^7.75)/y + (3*t^8.01)/(g2^4*y) + (3*t^8.01)/(g1^8*g2^4*y) + (4*t^8.01)/(g1^4*g2^4*y) + t^8.51/(g1^6*g2^2*y) + (3*t^8.51)/(g1^2*g2^2*y) + (g1^2*t^8.51)/(g2^2*y) - (t^4.25*y)/(g1*g2) - (t^6.76*y)/(g1^7*g2^3) - (3*t^6.76*y)/(g1^3*g2^3) - (g1*t^6.76*y)/g2^3 + (g2*t^7.75*y)/g1^3 + 3*g1*g2*t^7.75*y + g1^5*g2*t^7.75*y + (3*t^8.01*y)/g2^4 + (3*t^8.01*y)/(g1^8*g2^4) + (4*t^8.01*y)/(g1^4*g2^4) + (t^8.51*y)/(g1^6*g2^2) + (3*t^8.51*y)/(g1^2*g2^2) + (g1^2*t^8.51*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
798 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_2^2$ | 0.7292 | 0.8958 | 0.814 | [X:[], M:[0.8889, 1.0, 0.7778, 1.0, 0.8889], q:[0.5556, 0.5556], qb:[0.4444, 0.6667], phi:[0.4444]] | t^2.33 + 3*t^2.67 + 2*t^3. + t^3.67 + t^4. + 2*t^4.33 + 5*t^4.67 + 5*t^5. + 8*t^5.33 + 2*t^5.67 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 35/48, c: 43/48, M1: 8/9, M2: 1, M3: 7/9, M4: 1, M5: 8/9, q1: 5/9, q2: 5/9, qb1: 4/9, qb2: 2/3, phi1: 4/9} |
801 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.7674 | 0.9598 | 0.7995 | [X:[], M:[0.8347, 0.8347, 0.8347, 1.0, 0.8347, 0.6694], q:[0.6653, 0.5], qb:[0.5, 0.6653], phi:[0.4174]] | t^2.01 + 5*t^2.5 + t^3. + t^4.02 + 3*t^4.25 + 5*t^4.51 + 4*t^4.75 + 16*t^5.01 + 3*t^5.24 + t^5.5 - 7*t^6. - t^4.25/y - t^4.25*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 |
---|---|---|---|---|---|---|---|---|---|
328 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_4^2$ | 0.7331 | 0.8939 | 0.8201 | [X:[], M:[0.8539, 0.8539, 0.8539, 1.0], q:[0.6461, 0.5], qb:[0.5, 0.6461], phi:[0.427]] | 4*t^2.56 + t^3. + t^3.44 + t^3.88 + 3*t^4.28 + 4*t^4.72 + 10*t^5.12 + 3*t^5.16 - 3*t^6. - t^4.28/y - t^4.28*y | detail |