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
2368	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}M_{8}$	0.7059	0.8668	0.8143	[M:[0.8637, 1.0409, 1.0545, 0.9727, 0.9455, 1.0273, 0.9455, 0.9727], q:[0.5955, 0.5408], qb:[0.4319, 0.5137], phi:[0.4796]]	[M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [4, 4], [0, -8]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{8}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$	${}$	-4	t^2.591 + 2*t^2.837 + 2*t^2.918 + t^3.123 + t^3.327 + t^4.03 + t^4.275 + t^4.357 + 2*t^4.521 + t^4.602 + t^4.683 + t^4.766 + t^4.847 + t^5.011 + t^5.182 + 2*t^5.428 + t^5.509 + 2*t^5.673 + t^5.714 + 2*t^5.755 + 2*t^5.836 + 2*t^5.959 - 4*t^6. + 2*t^6.041 - t^6.081 + t^6.164 - t^6.327 + t^6.45 - t^6.491 + t^6.621 + t^6.655 + 3*t^6.867 + 2*t^6.948 + 3*t^7.112 + 2*t^7.193 + 2*t^7.275 + 4*t^7.357 + 2*t^7.439 + 2*t^7.52 + 2*t^7.601 + 2*t^7.603 + t^7.774 + 3*t^7.848 + 2*t^8.019 + t^8.06 + t^8.093 + t^8.1 + 2*t^8.264 + 2*t^8.305 + t^8.339 + t^8.387 + t^8.427 + 2*t^8.51 + 4*t^8.551 - 3*t^8.591 + 2*t^8.632 + t^8.673 + t^8.713 + 2*t^8.754 + 4*t^8.796 - 9*t^8.837 + 4*t^8.877 - 8*t^8.918 + 3*t^8.959 - 2*t^8.999 - t^4.439/y - t^7.03/y - t^7.275/y - t^7.357/y + t^7.521/y + t^7.602/y + t^7.847/y + (2*t^8.428)/y + (2*t^8.509)/y + t^8.673/y + t^8.714/y + (4*t^8.755)/y + t^8.836/y + t^8.919/y + (2*t^8.959)/y - t^4.439*y - t^7.03*y - t^7.275*y - t^7.357*y + t^7.521*y + t^7.602*y + t^7.847*y + 2*t^8.428*y + 2*t^8.509*y + t^8.673*y + t^8.714*y + 4*t^8.755*y + t^8.836*y + t^8.919*y + 2*t^8.959*y	g1^8*t^2.591 + 2*g1^4*g2^4*t^2.837 + (2*t^2.918)/g2^8 + (g2^2*t^3.123)/g1^2 + (g2^12*t^3.327)/g1^4 + (g1^9*t^4.03)/g2 + g1^5*g2^3*t^4.275 + (g1*t^4.357)/g2^9 + 2*g1*g2^7*t^4.521 + t^4.602/(g1^3*g2^5) + t^4.683/(g1^7*g2^17) + (g2^11*t^4.766)/g1^3 + t^4.847/(g1^7*g2) + (g2^15*t^5.011)/g1^7 + g1^16*t^5.182 + 2*g1^12*g2^4*t^5.428 + (g1^8*t^5.509)/g2^8 + 2*g1^8*g2^8*t^5.673 + g1^6*g2^2*t^5.714 + (2*g1^4*t^5.755)/g2^4 + (2*t^5.836)/g2^16 + 2*g1^2*g2^6*t^5.959 - 4*t^6. + (2*t^6.041)/(g1^2*g2^6) - t^6.081/(g1^4*g2^12) + g2^16*t^6.164 - t^6.327/(g1^8*g2^8) + (g2^14*t^6.45)/g1^6 - (g2^8*t^6.491)/g1^8 + (g1^17*t^6.621)/g2 + (g2^24*t^6.655)/g1^8 + 3*g1^13*g2^3*t^6.867 + (2*g1^9*t^6.948)/g2^9 + 3*g1^9*g2^7*t^7.112 + (2*g1^5*t^7.193)/g2^5 + (2*g1*t^7.275)/g2^17 + 4*g1^5*g2^11*t^7.357 + (2*g1*t^7.439)/g2 + (2*t^7.52)/(g1^3*g2^13) + (2*t^7.601)/(g1^7*g2^25) + 2*g1*g2^15*t^7.603 + g1^24*t^7.774 + (3*g2^19*t^7.848)/g1^3 + 2*g1^20*g2^4*t^8.019 + (g1^18*t^8.06)/g2^2 + (g2^23*t^8.093)/g1^7 + (g1^16*t^8.1)/g2^8 + 2*g1^16*g2^8*t^8.264 + 2*g1^14*g2^2*t^8.305 + (g2^27*t^8.339)/g1^11 + (g1^10*t^8.387)/g2^10 + (g1^8*t^8.427)/g2^16 + 2*g1^12*g2^12*t^8.51 + 4*g1^10*g2^6*t^8.551 - 3*g1^8*t^8.591 + (2*g1^6*t^8.632)/g2^6 + (g1^4*t^8.673)/g2^12 + (g1^2*t^8.713)/g2^18 + (2*t^8.754)/g2^24 + 4*g1^6*g2^10*t^8.796 - 9*g1^4*g2^4*t^8.837 + (4*g1^2*t^8.877)/g2^2 - (8*t^8.918)/g2^8 + (3*t^8.959)/(g1^2*g2^14) - (2*t^8.999)/(g1^4*g2^20) - (g1*t^4.439)/(g2*y) - (g1^9*t^7.03)/(g2*y) - (g1^5*g2^3*t^7.275)/y - (g1*t^7.357)/(g2^9*y) + (g1*g2^7*t^7.521)/y + t^7.602/(g1^3*g2^5*y) + t^7.847/(g1^7*g2*y) + (2*g1^12*g2^4*t^8.428)/y + (2*g1^8*t^8.509)/(g2^8*y) + (g1^8*g2^8*t^8.673)/y + (g1^6*g2^2*t^8.714)/y + (4*g1^4*t^8.755)/(g2^4*y) + t^8.836/(g2^16*y) + (g1^4*g2^12*t^8.919)/y + (2*g1^2*g2^6*t^8.959)/y - (g1*t^4.439*y)/g2 - (g1^9*t^7.03*y)/g2 - g1^5*g2^3*t^7.275*y - (g1*t^7.357*y)/g2^9 + g1*g2^7*t^7.521*y + (t^7.602*y)/(g1^3*g2^5) + (t^7.847*y)/(g1^7*g2) + 2*g1^12*g2^4*t^8.428*y + (2*g1^8*t^8.509*y)/g2^8 + g1^8*g2^8*t^8.673*y + g1^6*g2^2*t^8.714*y + (4*g1^4*t^8.755*y)/g2^4 + (t^8.836*y)/g2^16 + g1^4*g2^12*t^8.919*y + 2*g1^2*g2^6*t^8.959*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
4388	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}M_{8}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$	0.5928	0.7556	0.7846	[M:[0.6694, 1.151, 1.0285, 0.7265, 0.9715, 1.2735, 0.9715, 0.7265], q:[0.9388, 0.3918], qb:[0.3347, 0.6367], phi:[0.4245]]	t^2.008 + 2*t^2.18 + 2*t^2.914 + t^3.282 + 2*t^3.453 + t^3.624 + t^4.017 + 2*t^4.188 + 3*t^4.359 + t^4.727 + 2*t^4.923 + 4*t^5.094 + t^5.29 + 3*t^5.461 + 4*t^5.633 + 2*t^5.804 + 2*t^5.829 - 3*t^6. - t^4.273/y - t^4.273*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
1331	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{3}M_{7}$	0.7046	0.8662	0.8135	[M:[0.8644, 1.0339, 1.0679, 1.0001, 0.9321, 0.9999, 0.9321], q:[0.5677, 0.5679], qb:[0.4322, 0.4999], phi:[0.4831]]	t^2.593 + 2*t^2.796 + 2*t^3. + t^3.102 + t^3.203 + t^4.042 + t^4.246 + 3*t^4.449 + t^4.652 + t^4.653 + t^4.855 + t^4.856 + t^4.857 + t^5.186 + 2*t^5.39 + 3*t^5.593 + t^5.695 + 2*t^5.796 + 2*t^5.898 + 2*t^5.999 - 3*t^6. - t^4.449/y - t^4.449*y	detail