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
58617	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	1.2446	1.4381	0.8654	[X:[1.3872, 1.3872], M:[1.0, 1.0], q:[0.3761, 0.3761], qb:[0.2367, 0.6881], phi:[0.3872]]	[X:[[6, 0], [0, 6]], M:[[3, -3], [-3, 3]], q:[[-13, -7], [-7, -13]], qb:[[7, 7], [-5, -5]], phi:[[3, 3]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{5}$	${}M_{1}^{2}$, ${ }M_{2}^{2}$	-2	t^2.32 + 2*t^3. + 2*t^3.19 + t^3.48 + 4*t^4.16 + 2*t^4.35 + 2*t^4.55 + t^4.65 + 2*t^5.32 + 4*t^5.52 + t^5.62 + 2*t^5.71 + t^5.81 - 2*t^6. + 3*t^6.19 + 3*t^6.38 + 6*t^6.48 + 2*t^6.68 + 6*t^6.87 + 2*t^6.97 + 4*t^7.16 + 6*t^7.35 - 2*t^7.45 + 6*t^7.55 + 4*t^7.65 + 4*t^7.74 + 4*t^7.84 + t^7.94 + 2*t^8.03 - 2*t^8.22 + 4*t^8.32 + 9*t^8.52 + 14*t^8.71 + 4*t^8.81 + 7*t^8.9 - t^4.16/y - t^5.32/y - t^6.48/y - (2*t^7.35)/y - (2*t^7.65)/y + t^7.84/y - (2*t^8.32)/y - t^4.16*y - t^5.32*y - t^6.48*y - 2*t^7.35*y - 2*t^7.65*y + t^7.84*y - 2*t^8.32*y	g1^6*g2^6*t^2.32 + (g1^3*t^3.)/g2^3 + (g2^3*t^3.)/g1^3 + t^3.19/(g1^12*g2^18) + t^3.19/(g1^18*g2^12) + g1^9*g2^9*t^3.48 + 2*g1^6*t^4.16 + 2*g2^6*t^4.16 + t^4.35/(g1^9*g2^15) + t^4.35/(g1^15*g2^9) + t^4.55/(g1^24*g2^30) + t^4.55/(g1^30*g2^24) + g1^12*g2^12*t^4.65 + g1^9*g2^3*t^5.32 + g1^3*g2^9*t^5.32 + (2*t^5.52)/(g1^6*g2^12) + (2*t^5.52)/(g1^12*g2^6) + g1^30*g2^30*t^5.62 + t^5.71/(g1^21*g2^27) + t^5.71/(g1^27*g2^21) + g1^15*g2^15*t^5.81 - 2*t^6. + t^6.19/(g1^9*g2^21) + t^6.19/(g1^15*g2^15) + t^6.19/(g1^21*g2^9) + t^6.38/(g1^24*g2^36) + t^6.38/(g1^30*g2^30) + t^6.38/(g1^36*g2^24) + 3*g1^12*g2^6*t^6.48 + 3*g1^6*g2^12*t^6.48 + t^6.68/(g1^3*g2^9) + t^6.68/(g1^9*g2^3) + t^6.87/(g1^12*g2^30) + (2*t^6.87)/(g1^18*g2^24) + (2*t^6.87)/(g1^24*g2^18) + t^6.87/(g1^30*g2^12) + 2*g1^18*g2^18*t^6.97 + (g1^9*t^7.16)/g2^3 + 2*g1^3*g2^3*t^7.16 + (g2^9*t^7.16)/g1^3 + (2*t^7.35)/(g1^6*g2^18) + (2*t^7.35)/(g1^12*g2^12) + (2*t^7.35)/(g1^18*g2^6) - g1^30*g2^24*t^7.45 - g1^24*g2^30*t^7.45 + (2*t^7.55)/(g1^21*g2^33) + (2*t^7.55)/(g1^27*g2^27) + (2*t^7.55)/(g1^33*g2^21) + 2*g1^15*g2^9*t^7.65 + 2*g1^9*g2^15*t^7.65 + t^7.74/(g1^36*g2^48) + (2*t^7.74)/(g1^42*g2^42) + t^7.74/(g1^48*g2^36) + (2*t^7.84)/g1^6 + (2*t^7.84)/g2^6 + g1^36*g2^36*t^7.94 + t^8.03/(g1^15*g2^21) + t^8.03/(g1^21*g2^15) - t^8.22/(g1^30*g2^36) - t^8.22/(g1^36*g2^30) + 2*g1^12*t^8.32 + 2*g2^12*t^8.32 + (3*t^8.52)/(g1^3*g2^15) + (3*t^8.52)/(g1^9*g2^9) + (3*t^8.52)/(g1^15*g2^3) + (4*t^8.71)/(g1^18*g2^30) + (6*t^8.71)/(g1^24*g2^24) + (4*t^8.71)/(g1^30*g2^18) + 2*g1^18*g2^12*t^8.81 + 2*g1^12*g2^18*t^8.81 + (2*t^8.9)/(g1^33*g2^45) + (3*t^8.9)/(g1^39*g2^39) + (2*t^8.9)/(g1^45*g2^33) - (g1^3*g2^3*t^4.16)/y - (g1^6*g2^6*t^5.32)/y - (g1^9*g2^9*t^6.48)/y - t^7.35/(g1^9*g2^15*y) - t^7.35/(g1^15*g2^9*y) - (2*g1^12*g2^12*t^7.65)/y + t^7.84/(g1^3*g2^3*y) - (g1^9*g2^3*t^8.32)/y - (g1^3*g2^9*t^8.32)/y - g1^3*g2^3*t^4.16*y - g1^6*g2^6*t^5.32*y - g1^9*g2^9*t^6.48*y - (t^7.35*y)/(g1^9*g2^15) - (t^7.35*y)/(g1^15*g2^9) - 2*g1^12*g2^12*t^7.65*y + (t^7.84*y)/(g1^3*g2^3) - g1^9*g2^3*t^8.32*y - g1^3*g2^9*t^8.32*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
61035	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{3}$	1.2587	1.4638	0.8599	[X:[1.3892, 1.3892], M:[1.0, 1.0, 0.8324], q:[0.3693, 0.3693], qb:[0.2415, 0.6847], phi:[0.3892]]	t^2.34 + t^2.5 + 2*t^3. + 2*t^3.16 + 4*t^4.17 + 2*t^4.33 + 2*t^4.49 + t^4.67 + t^4.83 + t^4.99 + 2*t^5.34 + 6*t^5.5 + 4*t^5.66 + t^5.68 - 2*t^6. - t^4.17/y - t^5.34/y - t^4.17*y - t^5.34*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
57639	SU3adj1nf2	${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}M_{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$	1.2512	1.4516	0.8619	[X:[1.4008, 1.4008], M:[1.0, 1.0], q:[0.3824, 0.3824], qb:[0.2168, 0.6134], phi:[0.4008]]	t^2.41 + 2*t^2.99 + 2*t^3. + t^3.61 + 2*t^4.19 + 4*t^4.2 + t^4.34 + 2*t^4.64 + 4*t^5.39 + 2*t^5.41 + t^5.53 + t^5.55 + t^5.56 + 2*t^5.85 + 3*t^5.97 + 4*t^5.99 - 3*t^6. - t^4.2/y - t^5.41/y - t^4.2*y - t^5.41*y	detail