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 |
---|---|---|---|---|---|---|---|---|---|
58288 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.692 | 0.8909 | 0.7768 | [X:[1.5565], M:[0.4435, 1.1855, 0.7782, 0.887, 0.7782, 0.8145, 0.6695, 0.742], q:[0.7964, 0.7601], qb:[0.4616, 0.3529], phi:[0.4073]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [-4], [36], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{8}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{2}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.01 + t^2.23 + 2*t^2.33 + 2*t^2.44 + t^2.66 + t^3.34 + t^3.45 + t^4.02 + t^4.23 + 2*t^4.34 + 3*t^4.45 + 3*t^4.56 + 7*t^4.67 + 3*t^4.78 + 5*t^4.89 + 2*t^5. + t^5.1 + t^5.32 + t^5.35 + t^5.46 + t^5.56 + 2*t^5.67 + 5*t^5.78 + t^5.89 - 3*t^6. + t^6.03 - t^6.22 + t^6.24 - 2*t^6.33 + 2*t^6.35 + 3*t^6.46 + 3*t^6.57 + 9*t^6.68 + 7*t^6.79 + 11*t^6.9 + 11*t^7. + 9*t^7.11 + 5*t^7.22 + 9*t^7.33 + t^7.36 + t^7.44 + t^7.46 + t^7.55 + t^7.57 + 2*t^7.66 + 2*t^7.68 + t^7.77 + 6*t^7.79 + 4*t^7.9 + t^7.98 + 4*t^8.01 + t^8.03 + 6*t^8.12 + t^8.25 - 8*t^8.33 + 2*t^8.36 - 8*t^8.44 + 3*t^8.47 - 6*t^8.55 + 3*t^8.58 - 9*t^8.66 + 9*t^8.69 - 3*t^8.77 + 7*t^8.8 - t^8.88 + 13*t^8.9 - 2*t^8.99 - t^4.22/y - t^6.23/y - t^6.45/y - (2*t^6.56)/y - t^6.67/y - t^6.88/y + t^7.23/y + (2*t^7.34)/y + (2*t^7.45)/y + (3*t^7.56)/y + (4*t^7.67)/y + (5*t^7.78)/y + (4*t^7.89)/y + (3*t^8.)/y + (2*t^8.1)/y + t^8.21/y - t^8.24/y + t^8.35/y - t^8.56/y + t^8.67/y + (2*t^8.78)/y - (3*t^8.89)/y - t^4.22*y - t^6.23*y - t^6.45*y - 2*t^6.56*y - t^6.67*y - t^6.88*y + t^7.23*y + 2*t^7.34*y + 2*t^7.45*y + 3*t^7.56*y + 4*t^7.67*y + 5*t^7.78*y + 4*t^7.89*y + 3*t^8.*y + 2*t^8.1*y + t^8.21*y - t^8.24*y + t^8.35*y - t^8.56*y + t^8.67*y + 2*t^8.78*y - 3*t^8.89*y | g1^36*t^2.01 + g1^16*t^2.23 + 2*g1^6*t^2.33 + (2*t^2.44)/g1^4 + t^2.66/g1^24 + g1^24*t^3.34 + g1^14*t^3.45 + g1^72*t^4.02 + g1^52*t^4.23 + 2*g1^42*t^4.34 + 3*g1^32*t^4.45 + 3*g1^22*t^4.56 + 7*g1^12*t^4.67 + 3*g1^2*t^4.78 + (5*t^4.89)/g1^8 + (2*t^5.)/g1^18 + t^5.1/g1^28 + t^5.32/g1^48 + g1^60*t^5.35 + g1^50*t^5.46 + g1^40*t^5.56 + 2*g1^30*t^5.67 + 5*g1^20*t^5.78 + g1^10*t^5.89 - 3*t^6. + g1^108*t^6.03 - t^6.22/g1^20 + g1^88*t^6.24 - (2*t^6.33)/g1^30 + 2*g1^78*t^6.35 + 3*g1^68*t^6.46 + 3*g1^58*t^6.57 + 9*g1^48*t^6.68 + 7*g1^38*t^6.79 + 11*g1^28*t^6.9 + 11*g1^18*t^7. + 9*g1^8*t^7.11 + (5*t^7.22)/g1^2 + (9*t^7.33)/g1^12 + g1^96*t^7.36 + t^7.44/g1^22 + g1^86*t^7.46 + t^7.55/g1^32 + g1^76*t^7.57 + (2*t^7.66)/g1^42 + 2*g1^66*t^7.68 + t^7.77/g1^52 + 6*g1^56*t^7.79 + 4*g1^46*t^7.9 + t^7.98/g1^72 + 4*g1^36*t^8.01 + g1^144*t^8.03 + 6*g1^26*t^8.12 + g1^124*t^8.25 - 8*g1^6*t^8.33 + 2*g1^114*t^8.36 - (8*t^8.44)/g1^4 + 3*g1^104*t^8.47 - (6*t^8.55)/g1^14 + 3*g1^94*t^8.58 - (9*t^8.66)/g1^24 + 9*g1^84*t^8.69 - (3*t^8.77)/g1^34 + 7*g1^74*t^8.8 - t^8.88/g1^44 + 13*g1^64*t^8.9 - (2*t^8.99)/g1^54 - t^4.22/(g1^2*y) - (g1^34*t^6.23)/y - (g1^14*t^6.45)/y - (2*g1^4*t^6.56)/y - t^6.67/(g1^6*y) - t^6.88/(g1^26*y) + (g1^52*t^7.23)/y + (2*g1^42*t^7.34)/y + (2*g1^32*t^7.45)/y + (3*g1^22*t^7.56)/y + (4*g1^12*t^7.67)/y + (5*g1^2*t^7.78)/y + (4*t^7.89)/(g1^8*y) + (3*t^8.)/(g1^18*y) + (2*t^8.1)/(g1^28*y) + t^8.21/(g1^38*y) - (g1^70*t^8.24)/y + (g1^60*t^8.35)/y - (g1^40*t^8.56)/y + (g1^30*t^8.67)/y + (2*g1^20*t^8.78)/y - (3*g1^10*t^8.89)/y - (t^4.22*y)/g1^2 - g1^34*t^6.23*y - g1^14*t^6.45*y - 2*g1^4*t^6.56*y - (t^6.67*y)/g1^6 - (t^6.88*y)/g1^26 + g1^52*t^7.23*y + 2*g1^42*t^7.34*y + 2*g1^32*t^7.45*y + 3*g1^22*t^7.56*y + 4*g1^12*t^7.67*y + 5*g1^2*t^7.78*y + (4*t^7.89*y)/g1^8 + (3*t^8.*y)/g1^18 + (2*t^8.1*y)/g1^28 + (t^8.21*y)/g1^38 - g1^70*t^8.24*y + g1^60*t^8.35*y - g1^40*t^8.56*y + g1^30*t^8.67*y + 2*g1^20*t^8.78*y - 3*g1^10*t^8.89*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 |
---|
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
56118 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6728 | 0.8548 | 0.7871 | [X:[1.5604], M:[0.4396, 1.1868, 0.7802, 0.8792, 0.7802, 0.8132, 0.6812], q:[0.7967, 0.7637], qb:[0.4561, 0.3571], phi:[0.4066]] | t^2.04 + 2*t^2.34 + 2*t^2.44 + t^2.64 + t^3.36 + t^3.46 + t^3.76 + t^4.09 + 2*t^4.38 + 2*t^4.48 + t^4.58 + 5*t^4.68 + 3*t^4.78 + 4*t^4.88 + 2*t^4.98 + t^5.08 + t^5.28 + t^5.41 + t^5.5 + t^5.7 + 6*t^5.8 + t^5.9 - 3*t^6. - t^4.22/y - t^4.22*y | detail |