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
59446	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$	1.3928	1.5665	0.8891	[X:[1.4066], M:[0.7382, 1.042], q:[0.395, 0.6917], qb:[0.5701, 0.563], phi:[0.2967]]	[X:[[0, 8]], M:[[3, -11], [-3, -13]], q:[[-1, 13], [-1, 9]], qb:[[-2, 2], [4, 0]], phi:[[0, -4]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}$	-3	t^2.21 + t^2.67 + t^2.9 + t^3.13 + 2*t^3.76 + t^3.79 + t^4.22 + t^4.43 + 2*t^4.65 + 2*t^4.68 + t^4.88 + 3*t^5.34 + t^5.54 + 2*t^5.57 + t^5.79 + t^5.8 + 2*t^5.98 - 3*t^6. + 3*t^6.23 + t^6.25 + 3*t^6.43 + t^6.46 + t^6.64 + 2*t^6.66 + t^6.68 + 2*t^6.87 + t^6.89 + t^7.1 + 3*t^7.12 + t^7.32 + 3*t^7.35 + 3*t^7.53 + 5*t^7.55 + t^7.57 + t^7.74 + t^7.76 + t^7.78 + 2*t^7.8 + t^7.98 + 4*t^8.01 + t^8.19 - 4*t^8.21 + t^8.23 + t^8.24 + 4*t^8.42 + 7*t^8.44 + 2*t^8.46 + 2*t^8.47 + 3*t^8.65 - 2*t^8.67 + 2*t^8.69 + t^8.86 + t^8.92 + t^8.67/y^2 - t^3.89/y - t^4.78/y - t^6.1/y - t^6.56/y - t^6.79/y - t^6.99/y - t^7.02/y - t^7.45/y - t^7.65/y - t^7.68/y + t^7.88/y - t^7.91/y + t^8.11/y - t^8.32/y + t^8.34/y - (2*t^8.54)/y - t^8.77/y + t^8.8/y + (2*t^8.98)/y - t^3.89*y - t^4.78*y - t^6.1*y - t^6.56*y - t^6.79*y - t^6.99*y - t^7.02*y - t^7.45*y - t^7.65*y - t^7.68*y + t^7.88*y - t^7.91*y + t^8.11*y - t^8.32*y + t^8.34*y - 2*t^8.54*y - t^8.77*y + t^8.8*y + 2*t^8.98*y + t^8.67*y^2	(g1^3*t^2.21)/g2^11 + t^2.67/g2^12 + (g2^15*t^2.9)/g1^3 + t^3.13/(g1^3*g2^13) + 2*g1^3*g2^9*t^3.76 + (g2^11*t^3.79)/g1^3 + g2^8*t^4.22 + (g1^6*t^4.43)/g2^22 + 2*g1^3*g2^5*t^4.65 + (2*g2^7*t^4.68)/g1^3 + (g1^3*t^4.88)/g2^23 + (2*t^5.34)/g2^24 + (g2^31*t^5.34)/g1^3 + g1^3*g2*t^5.54 + (2*g2^3*t^5.57)/g1^3 + (g2^30*t^5.79)/g1^6 + t^5.8/(g1^3*g2^25) + (2*g1^6*t^5.98)/g2^2 - 3*t^6. + (3*g2^27*t^6.23)/g1^3 + t^6.25/(g1^6*g2^26) + (3*g1^3*t^6.43)/g2^3 + t^6.46/(g1^3*g2) + (g1^9*t^6.64)/g2^33 + 2*g2^24*t^6.66 + (g2^26*t^6.68)/g1^6 + (2*g1^6*t^6.87)/g2^6 + t^6.89/g2^4 + (g1^6*t^7.1)/g2^34 + (3*g2^23*t^7.12)/g1^3 + (g1^3*t^7.32)/g2^7 + (3*t^7.35)/(g1^3*g2^5) + 3*g1^6*g2^18*t^7.53 + (2*g1^3*t^7.55)/g2^35 + 3*g2^20*t^7.55 + (g2^22*t^7.57)/g1^6 + (g1^12*t^7.74)/g2^12 + (g1^6*t^7.76)/g2^10 + t^7.78/g2^8 + (2*t^7.8)/(g1^6*g2^6) + g1^3*g2^17*t^7.98 + (2*t^8.01)/g2^36 + (2*g2^19*t^8.01)/g1^3 + (g1^9*t^8.19)/g2^13 - (4*g1^3*t^8.21)/g2^11 + (g2^46*t^8.23)/g1^6 + t^8.24/(g1^3*g2^9) + 4*g1^6*g2^14*t^8.42 + 7*g2^16*t^8.44 + (2*g2^18*t^8.46)/g1^6 + (2*t^8.47)/(g1^3*g2^37) + (3*g1^6*t^8.65)/g2^14 - (2*t^8.67)/g2^12 + t^8.69/(g1^6*g2^10) + (g2^45*t^8.69)/g1^9 + (g1^12*t^8.86)/g2^44 + t^8.92/(g1^6*g2^38) + t^8.67/(g2^12*y^2) - t^3.89/(g2^4*y) - t^4.78/(g2^8*y) - (g1^3*t^6.1)/(g2^15*y) - t^6.56/(g2^16*y) - (g2^11*t^6.79)/(g1^3*y) - (g1^3*t^6.99)/(g2^19*y) - t^7.02/(g1^3*g2^17*y) - t^7.45/(g2^20*y) - (g1^3*g2^5*t^7.65)/y - (g2^7*t^7.68)/(g1^3*y) + (g1^3*t^7.88)/(g2^23*y) - t^7.91/(g1^3*g2^21*y) + (g2^4*t^8.11)/y - (g1^6*t^8.32)/(g2^26*y) + t^8.34/(g2^24*y) - (2*g1^3*g2*t^8.54)/y - (g1^3*t^8.77)/(g2^27*y) + t^8.8/(g1^3*g2^25*y) + (2*g1^6*t^8.98)/(g2^2*y) - (t^3.89*y)/g2^4 - (t^4.78*y)/g2^8 - (g1^3*t^6.1*y)/g2^15 - (t^6.56*y)/g2^16 - (g2^11*t^6.79*y)/g1^3 - (g1^3*t^6.99*y)/g2^19 - (t^7.02*y)/(g1^3*g2^17) - (t^7.45*y)/g2^20 - g1^3*g2^5*t^7.65*y - (g2^7*t^7.68*y)/g1^3 + (g1^3*t^7.88*y)/g2^23 - (t^7.91*y)/(g1^3*g2^21) + g2^4*t^8.11*y - (g1^6*t^8.32*y)/g2^26 + (t^8.34*y)/g2^24 - 2*g1^3*g2*t^8.54*y - (g1^3*t^8.77*y)/g2^27 + (t^8.8*y)/(g1^3*g2^25) + (2*g1^6*t^8.98*y)/g2^2 + (t^8.67*y^2)/g2^12

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
61120	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$	1.2508	1.4362	0.8709	[X:[1.3441], M:[1.0, 0.9678], q:[0.2347, 0.5627], qb:[0.4373, 0.7974], phi:[0.328]]	t^2.02 + t^2.9 + t^2.95 + 2*t^3. + 2*t^3.98 + 2*t^4.03 + 3*t^4.08 + 2*t^4.97 + t^5.02 + 5*t^5.06 + t^5.81 + t^5.86 + 2*t^5.9 + 2*t^5.95 - t^6. - t^3.98/y - t^4.97/y - t^6./y - t^3.98*y - t^4.97*y - t^6.*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
57497	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$	1.3969	1.5736	0.8877	[X:[1.3909], M:[0.7701, 1.0571], q:[0.4036, 0.7081], qb:[0.5218, 0.5394], phi:[0.3045]]	t^2.31 + t^2.74 + t^2.78 + t^3.17 + t^3.69 + 2*t^3.74 + t^4.17 + 2*t^4.6 + t^4.62 + 2*t^4.66 + t^5.05 + t^5.46 + 2*t^5.48 + 2*t^5.52 + t^5.55 + t^5.57 + t^5.66 + t^5.72 + t^5.91 - 4*t^6. - t^3.91/y - t^4.83/y - t^3.91*y - t^4.83*y	detail