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 |
---|---|---|---|---|---|---|---|---|---|
250 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ | 0.6621 | 0.7871 | 0.8412 | [X:[], M:[1.0, 1.1646, 0.9238, 1.0], q:[0.7912, 0.5381], qb:[0.4619, 0.5381], phi:[0.4177]] | [X:[], M:[[7, 1], [-4, 0], [14, 0], [-7, -1]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_3$, $ M_4$, $ M_1$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$ | $M_1^2$, $ M_4^2$ | -2 | t^2.77 + 2*t^3. + t^3.49 + t^3.76 + 2*t^3.99 + t^4.02 + 2*t^4.25 + 3*t^4.48 + t^5.54 - 2*t^6. - 2*t^6.23 + t^6.53 + 2*t^6.76 + t^6.8 + 3*t^6.99 + 2*t^7.02 + 3*t^7.25 + 4*t^7.48 + t^7.52 + 2*t^7.75 + t^7.78 + 3*t^7.98 + 2*t^8.01 + t^8.05 + 3*t^8.24 + 2*t^8.28 + t^8.31 + 4*t^8.47 + 2*t^8.51 + 2*t^8.73 - 3*t^8.77 + 5*t^8.96 - t^4.25/y - t^7.02/y + t^7.48/y + (2*t^8.77)/y - t^4.25*y - t^7.02*y + t^7.48*y + 2*t^8.77*y | g1^14*t^2.77 + t^3./(g1^7*g2) + g1^7*g2*t^3. + t^3.49/g1^4 + g1^6*t^3.76 + t^3.99/(g1^15*g2) + (g2*t^3.99)/g1 + g1^16*t^4.02 + t^4.25/(g1^5*g2) + g1^9*g2*t^4.25 + t^4.48/g1^12 + t^4.48/(g1^26*g2^2) + g1^2*g2^2*t^4.48 + g1^28*t^5.54 - 2*t^6. - t^6.23/(g1^21*g2) - (g2*t^6.23)/g1^7 + g1^20*t^6.53 + t^6.76/(g1*g2) + g1^13*g2*t^6.76 + g1^30*t^6.8 + t^6.99/g1^8 + t^6.99/(g1^22*g2^2) + g1^6*g2^2*t^6.99 + (g1^9*t^7.02)/g2 + g1^23*g2*t^7.02 + g1^2*t^7.25 + t^7.25/(g1^12*g2^2) + g1^16*g2^2*t^7.25 + t^7.48/(g1^33*g2^3) + t^7.48/(g1^19*g2) + (g2*t^7.48)/g1^5 + g1^9*g2^3*t^7.48 + g1^12*t^7.52 + t^7.75/(g1^9*g2) + g1^5*g2*t^7.75 + g1^22*t^7.78 + t^7.98/g1^16 + t^7.98/(g1^30*g2^2) + (g2^2*t^7.98)/g1^2 + (g1*t^8.01)/g2 + g1^15*g2*t^8.01 + g1^32*t^8.05 + t^8.24/g1^6 + t^8.24/(g1^20*g2^2) + g1^8*g2^2*t^8.24 + (g1^11*t^8.28)/g2 + g1^25*g2*t^8.28 + g1^42*t^8.31 + t^8.47/(g1^41*g2^3) + t^8.47/(g1^27*g2) + (g2*t^8.47)/g1^13 + g1*g2^3*t^8.47 + t^8.51/(g1^10*g2^2) + g1^18*g2^2*t^8.51 + t^8.73/(g1^31*g2^3) + g1^11*g2^3*t^8.73 - 3*g1^14*t^8.77 + t^8.96/g1^24 + t^8.96/(g1^52*g2^4) + t^8.96/(g1^38*g2^2) + (g2^2*t^8.96)/g1^10 + g1^4*g2^4*t^8.96 - (g1^2*t^4.25)/y - (g1^16*t^7.02)/y + t^7.48/(g1^12*y) + (g1^7*t^8.77)/(g2*y) + (g1^21*g2*t^8.77)/y - g1^2*t^4.25*y - g1^16*t^7.02*y + (t^7.48*y)/g1^12 + (g1^7*t^8.77*y)/g2 + g1^21*g2*t^8.77*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 |
---|---|---|---|---|---|---|---|---|
401 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_3^2$ | 0.6582 | 0.7832 | 0.8404 | [X:[], M:[1.0, 1.1429, 1.0, 1.0], q:[0.7857, 0.5], qb:[0.5, 0.5], phi:[0.4286]] | 3*t^3. + t^3.43 + 3*t^3.86 + 6*t^4.29 - 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 129/196, c: 307/392, M1: 1, M2: 8/7, M3: 1, M4: 1, q1: 11/14, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 3/7} |
400 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6814 | 0.8225 | 0.8284 | [X:[], M:[1.0, 1.1613, 0.9353, 1.0, 0.742], q:[0.7903, 0.5323], qb:[0.4677, 0.5323], phi:[0.4193]] | t^2.23 + t^2.81 + 2*t^3. + t^3.48 + 2*t^3.97 + t^4.06 + 2*t^4.26 + 4*t^4.45 + t^5.03 + 2*t^5.23 + t^5.61 + t^5.71 - 2*t^6. - t^4.26/y - t^4.26*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 |
---|---|---|---|---|---|---|---|---|---|
159 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ | 0.6845 | 0.8095 | 0.8456 | [X:[], M:[0.8373, 1.2823, 0.8373, 0.8373], q:[0.8206, 0.5813], qb:[0.5813, 0.5813], phi:[0.3588]] | 3*t^2.51 + t^3.85 + 3*t^4.21 + 6*t^4.56 + 6*t^5.02 - 9*t^6. - t^4.08/y - t^4.08*y | detail |