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 |
---|---|---|---|---|---|---|---|---|---|
440 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_1^2$ | 0.6973 | 0.8533 | 0.8172 | [X:[], M:[1.0, 0.912, 1.0, 0.672], q:[0.792, 0.544], qb:[0.456, 0.544], phi:[0.416]] | [X:[], M:[[0], [-14], [0], [16]], q:[[1], [7]], qb:[[-7], [7]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_4$, $ \phi_1^2$, $ M_2$, $ M_1$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ \phi_1^4$, $ M_1M_4$, $ M_3M_4$, $ M_2\phi_1^2$, $ M_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_1$ | $M_1M_3$ | -2 | t^2.02 + t^2.5 + t^2.74 + 2*t^3. + t^3.74 + 2*t^4.01 + t^4.03 + 2*t^4.25 + 4*t^4.51 + t^4.75 + t^4.99 + 2*t^5.02 + t^5.23 + t^5.47 + 2*t^5.5 + t^5.76 - 2*t^6. + 2*t^6.02 + t^6.05 + t^6.48 + 4*t^6.53 + 4*t^6.74 + t^6.77 + 6*t^7.01 + 2*t^7.03 + 3*t^7.25 + 2*t^7.49 + 4*t^7.51 + t^7.73 + t^7.78 + t^7.97 + 2*t^7.99 - 2*t^8.02 + 2*t^8.04 + t^8.06 + t^8.21 + 3*t^8.26 - 2*t^8.5 + 4*t^8.52 + 4*t^8.54 - 3*t^8.74 + 4*t^8.76 + t^8.78 - t^4.25/y - t^6.26/y - t^6.74/y - t^6.98/y + (2*t^7.51)/y + (2*t^7.75)/y + (2*t^8.02)/y + (2*t^8.23)/y - t^8.28/y + (2*t^8.5)/y + (2*t^8.74)/y - t^4.25*y - t^6.26*y - t^6.74*y - t^6.98*y + 2*t^7.51*y + 2*t^7.75*y + 2*t^8.02*y + 2*t^8.23*y - t^8.28*y + 2*t^8.5*y + 2*t^8.74*y | g1^16*t^2.02 + t^2.5/g1^4 + t^2.74/g1^14 + 2*t^3. + t^3.74/g1^6 + 2*g1^8*t^4.01 + g1^32*t^4.03 + (2*t^4.25)/g1^2 + 4*g1^12*t^4.51 + g1^2*t^4.75 + t^4.99/g1^8 + 2*g1^16*t^5.02 + t^5.23/g1^18 + t^5.47/g1^28 + (2*t^5.5)/g1^4 + g1^10*t^5.76 - 2*t^6. + 2*g1^24*t^6.02 + g1^48*t^6.05 + t^6.48/g1^20 + 4*g1^28*t^6.53 + (4*t^6.74)/g1^6 + g1^18*t^6.77 + 6*g1^8*t^7.01 + 2*g1^32*t^7.03 + (3*t^7.25)/g1^2 + (2*t^7.49)/g1^12 + 4*g1^12*t^7.51 + t^7.73/g1^22 + g1^26*t^7.78 + t^7.97/g1^32 + (2*t^7.99)/g1^8 - 2*g1^16*t^8.02 + 2*g1^40*t^8.04 + g1^64*t^8.06 + t^8.21/g1^42 + 3*g1^6*t^8.26 - (2*t^8.5)/g1^4 + 4*g1^20*t^8.52 + 4*g1^44*t^8.54 - (3*t^8.74)/g1^14 + 4*g1^10*t^8.76 + g1^34*t^8.78 - t^4.25/(g1^2*y) - (g1^14*t^6.26)/y - t^6.74/(g1^6*y) - t^6.98/(g1^16*y) + (2*g1^12*t^7.51)/y + (2*g1^2*t^7.75)/y + (2*g1^16*t^8.02)/y + (2*t^8.23)/(g1^18*y) - (g1^30*t^8.28)/y + (2*t^8.5)/(g1^4*y) + (2*t^8.74)/(g1^14*y) - (t^4.25*y)/g1^2 - g1^14*t^6.26*y - (t^6.74*y)/g1^6 - (t^6.98*y)/g1^16 + 2*g1^12*t^7.51*y + 2*g1^2*t^7.75*y + 2*g1^16*t^8.02*y + (2*t^8.23*y)/g1^18 - g1^30*t^8.28*y + (2*t^8.5*y)/g1^4 + (2*t^8.74*y)/g1^14 |
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 |
---|---|---|---|---|---|---|---|---|
735 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_4q_1\tilde{q}_1$ | 0.684 | 0.834 | 0.8201 | [X:[], M:[1.0, 0.8, 1.0, 0.8], q:[0.8, 0.6], qb:[0.4, 0.6], phi:[0.4]] | 3*t^2.4 + 2*t^3. + t^3.6 + 4*t^4.2 + 9*t^4.8 + 4*t^5.4 - t^4.2/y - t^4.2*y | detail | {a: 171/250, c: 417/500, M1: 1, M2: 4/5, M3: 1, M4: 4/5, q1: 4/5, q2: 3/5, qb1: 2/5, qb2: 3/5, phi1: 2/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
271 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3^2$ | 0.6765 | 0.812 | 0.8331 | [X:[], M:[1.0, 0.9097, 1.0], q:[0.7922, 0.5452], qb:[0.4548, 0.5452], phi:[0.4157]] | t^2.49 + t^2.73 + 2*t^3. + t^3.74 + t^3.98 + 2*t^4.01 + 2*t^4.25 + 3*t^4.52 + t^4.99 + t^5.22 + t^5.46 + 2*t^5.49 - 2*t^6. - t^4.25/y - t^4.25*y | detail |