Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
56285	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{8}$	0.7136	0.8827	0.8084	[M:[0.9086, 0.8172, 1.0, 1.0914, 0.9483, 0.9603, 1.0457, 0.9086], q:[0.6173, 0.4742], qb:[0.5656, 0.4344], phi:[0.4771]]	[M:[[4, 4], [8, 8], [0, 0], [-4, -4], [8, 0], [-4, 4], [-2, -2], [4, 4]], q:[[-8, -4], [4, 0]], qb:[[0, -4], [0, 4]], phi:[[1, 1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{8}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{5}M_{7}$	${}$	-3	t^2.452 + 2*t^2.726 + t^2.845 + t^2.881 + t^3. + t^3.137 + t^4.038 + t^4.157 + t^4.276 + t^4.431 + t^4.551 + t^4.587 + t^4.706 + t^4.825 + t^4.903 + t^4.98 + t^5.135 + 2*t^5.177 + t^5.296 + t^5.332 + 3*t^5.452 + t^5.571 + t^5.589 + t^5.607 + t^5.69 + 2*t^5.726 + t^5.762 + 2*t^5.863 + t^5.982 - 3*t^6. + t^6.018 - t^6.119 + t^6.137 - t^6.155 - t^6.274 - t^6.393 - t^6.429 + t^6.49 - t^6.548 + t^6.609 + t^6.728 + 2*t^6.764 + 3*t^6.883 + t^6.919 + 3*t^7.002 + 2*t^7.038 + t^7.121 + 3*t^7.157 + 3*t^7.276 + t^7.312 + t^7.355 + t^7.395 + 2*t^7.431 + t^7.467 + 2*t^7.551 + t^7.587 + 2*t^7.629 + t^7.67 + t^7.748 + t^7.784 + t^7.861 + 3*t^7.903 + t^8.016 + t^8.022 + t^8.04 + t^8.058 + t^8.076 - t^8.099 + t^8.141 + 4*t^8.177 + t^8.195 + t^8.213 - t^8.254 + t^8.296 + 3*t^8.314 + t^8.416 + 2*t^8.434 - 2*t^8.452 + 2*t^8.47 + t^8.488 + t^8.535 + t^8.553 - t^8.571 + 4*t^8.589 - t^8.607 + t^8.625 + t^8.643 + 2*t^8.708 - 7*t^8.726 + 2*t^8.744 + 2*t^8.827 - 6*t^8.845 + 4*t^8.863 - 5*t^8.881 + t^8.899 + t^8.941 - t^8.964 + 2*t^8.982 - t^4.431/y - t^6.883/y - t^7.157/y - t^7.276/y - t^7.312/y + t^7.551/y + t^7.587/y + t^7.706/y + t^7.98/y + (2*t^8.177)/y + t^8.296/y + t^8.332/y + (2*t^8.452)/y + (2*t^8.571)/y + t^8.589/y + (2*t^8.607)/y + (3*t^8.726)/y + t^8.845/y + (2*t^8.863)/y + t^8.881/y + t^8.982/y - t^4.431*y - t^6.883*y - t^7.157*y - t^7.276*y - t^7.312*y + t^7.551*y + t^7.587*y + t^7.706*y + t^7.98*y + 2*t^8.177*y + t^8.296*y + t^8.332*y + 2*t^8.452*y + 2*t^8.571*y + t^8.589*y + 2*t^8.607*y + 3*t^8.726*y + t^8.845*y + 2*t^8.863*y + t^8.881*y + t^8.982*y	g1^8*g2^8*t^2.452 + 2*g1^4*g2^4*t^2.726 + g1^8*t^2.845 + (g2^4*t^2.881)/g1^4 + t^3. + t^3.137/(g1^2*g2^2) + g1*g2^9*t^4.038 + g1^5*g2^5*t^4.157 + g1^9*g2*t^4.276 + g1*g2*t^4.431 + (g1^5*t^4.551)/g2^3 + (g2*t^4.587)/g1^7 + t^4.706/(g1^3*g2^3) + (g1*t^4.825)/g2^7 + g1^16*g2^16*t^4.903 + t^4.98/(g1^7*g2^7) + t^5.135/(g1^15*g2^7) + 2*g1^12*g2^12*t^5.177 + g1^16*g2^8*t^5.296 + g1^4*g2^12*t^5.332 + 3*g1^8*g2^8*t^5.452 + g1^12*g2^4*t^5.571 + g1^6*g2^6*t^5.589 + g2^8*t^5.607 + g1^16*t^5.69 + 2*g1^4*g2^4*t^5.726 + (g2^8*t^5.762)/g1^8 + 2*g1^2*g2^2*t^5.863 + (g1^6*t^5.982)/g2^2 - 3*t^6. + (g2^2*t^6.018)/g1^6 - (g1^4*t^6.119)/g2^4 + t^6.137/(g1^2*g2^2) - t^6.155/g1^8 - t^6.274/(g1^4*g2^4) - t^6.393/g2^8 - t^6.429/(g1^12*g2^4) + g1^9*g2^17*t^6.49 - t^6.548/(g1^8*g2^8) + g1^13*g2^13*t^6.609 + g1^17*g2^9*t^6.728 + 2*g1^5*g2^13*t^6.764 + 3*g1^9*g2^9*t^6.883 + (g2^13*t^6.919)/g1^3 + 3*g1^13*g2^5*t^7.002 + 2*g1*g2^9*t^7.038 + g1^17*g2*t^7.121 + 3*g1^5*g2^5*t^7.157 + 3*g1^9*g2*t^7.276 + (g2^5*t^7.312)/g1^3 + g1^24*g2^24*t^7.355 + (g1^13*t^7.395)/g2^3 + 2*g1*g2*t^7.431 + (g2^5*t^7.467)/g1^11 + (2*g1^5*t^7.551)/g2^3 + (g2*t^7.587)/g1^7 + 2*g1^20*g2^20*t^7.629 + (g1^9*t^7.67)/g2^7 + g1^24*g2^16*t^7.748 + g1^12*g2^20*t^7.784 + t^7.861/(g1^11*g2^3) + 3*g1^16*g2^16*t^7.903 + t^8.016/(g1^19*g2^3) + g1^20*g2^12*t^8.022 + g1^14*g2^14*t^8.04 + g1^8*g2^16*t^8.058 + g1^2*g2^18*t^8.076 - t^8.099/(g1^3*g2^11) + g1^24*g2^8*t^8.141 + 4*g1^12*g2^12*t^8.177 + g1^6*g2^14*t^8.195 + g2^16*t^8.213 - t^8.254/(g1^11*g2^11) + g1^16*g2^8*t^8.296 + 3*g1^10*g2^10*t^8.314 + g1^20*g2^4*t^8.416 + 2*g1^14*g2^6*t^8.434 - 2*g1^8*g2^8*t^8.452 + 2*g1^2*g2^10*t^8.47 + (g2^12*t^8.488)/g1^4 + g1^24*t^8.535 + g1^18*g2^2*t^8.553 - g1^12*g2^4*t^8.571 + 4*g1^6*g2^6*t^8.589 - g2^8*t^8.607 + (g2^10*t^8.625)/g1^6 + (g2^12*t^8.643)/g1^12 + 2*g1^10*g2^2*t^8.708 - 7*g1^4*g2^4*t^8.726 + (2*g2^6*t^8.744)/g1^2 + (2*g1^14*t^8.827)/g2^2 - 6*g1^8*t^8.845 + 4*g1^2*g2^2*t^8.863 - (5*g2^4*t^8.881)/g1^4 + (g2^6*t^8.899)/g1^10 + g1^17*g2^25*t^8.941 - (g1^12*t^8.964)/g2^4 + (2*g1^6*t^8.982)/g2^2 - (g1*g2*t^4.431)/y - (g1^9*g2^9*t^6.883)/y - (g1^5*g2^5*t^7.157)/y - (g1^9*g2*t^7.276)/y - (g2^5*t^7.312)/(g1^3*y) + (g1^5*t^7.551)/(g2^3*y) + (g2*t^7.587)/(g1^7*y) + t^7.706/(g1^3*g2^3*y) + t^7.98/(g1^7*g2^7*y) + (2*g1^12*g2^12*t^8.177)/y + (g1^16*g2^8*t^8.296)/y + (g1^4*g2^12*t^8.332)/y + (2*g1^8*g2^8*t^8.452)/y + (2*g1^12*g2^4*t^8.571)/y + (g1^6*g2^6*t^8.589)/y + (2*g2^8*t^8.607)/y + (3*g1^4*g2^4*t^8.726)/y + (g1^8*t^8.845)/y + (2*g1^2*g2^2*t^8.863)/y + (g2^4*t^8.881)/(g1^4*y) + (g1^6*t^8.982)/(g2^2*y) - g1*g2*t^4.431*y - g1^9*g2^9*t^6.883*y - g1^5*g2^5*t^7.157*y - g1^9*g2*t^7.276*y - (g2^5*t^7.312*y)/g1^3 + (g1^5*t^7.551*y)/g2^3 + (g2*t^7.587*y)/g1^7 + (t^7.706*y)/(g1^3*g2^3) + (t^7.98*y)/(g1^7*g2^7) + 2*g1^12*g2^12*t^8.177*y + g1^16*g2^8*t^8.296*y + g1^4*g2^12*t^8.332*y + 2*g1^8*g2^8*t^8.452*y + 2*g1^12*g2^4*t^8.571*y + g1^6*g2^6*t^8.589*y + 2*g2^8*t^8.607*y + 3*g1^4*g2^4*t^8.726*y + g1^8*t^8.845*y + 2*g1^2*g2^2*t^8.863*y + (g2^4*t^8.881*y)/g1^4 + (g1^6*t^8.982*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
58870	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{8}$ + ${ }M_{5}M_{8}$	0.7039	0.8673	0.8115	[M:[0.9488, 0.8975, 1.0, 1.0512, 1.0512, 0.8975, 1.0256, 0.9488], q:[0.5256, 0.5256], qb:[0.5769, 0.4231], phi:[0.4872]]	2*t^2.693 + 2*t^2.846 + t^3. + t^3.077 + t^3.154 + t^4. + 2*t^4.308 + t^4.462 + 3*t^4.615 + 2*t^4.769 + t^4.923 + 3*t^5.385 + 3*t^5.539 + 3*t^5.693 + 2*t^5.769 + 2*t^5.846 + 2*t^5.923 - 3*t^6. - t^4.462/y - t^4.462*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

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
50988	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$	0.706	0.8681	0.8132	[M:[0.9248, 0.8495, 1.0, 1.0752, 0.9583, 0.9665, 1.0376], q:[0.5961, 0.4791], qb:[0.5544, 0.4456], phi:[0.4812]]	t^2.549 + t^2.774 + t^2.875 + t^2.899 + t^3. + t^3.113 + t^3.226 + t^4.117 + t^4.218 + t^4.318 + t^4.444 + t^4.544 + t^4.569 + t^4.669 + t^4.77 + t^4.895 + t^5.02 + t^5.097 + t^5.323 + t^5.423 + t^5.448 + t^5.549 + t^5.661 + t^5.75 + 2*t^5.774 + t^5.799 + t^5.887 + t^5.988 - 2*t^6. - t^4.444/y - t^4.444*y	detail