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
47869	SU3adj1nf2	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$	1.4531	1.6406	0.8857	[X:[1.3333], q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.3333]]	[X:[[0, 0, 0]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]]	3	{a: 93/64, c: 105/64, X1: 4/3, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/3}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$	${}\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$	7	5*t^3. + 5*t^4. + 4*t^5. + 4*t^5.5 + 7*t^6. + 4*t^6.5 + 18*t^7. + 4*t^7.5 + 24*t^8. + 4*t^8.5 - t^4./y - t^5./y - (5*t^7.)/y - (5*t^8.)/y - t^4.*y - t^5.*y - 5*t^7.*y - 5*t^8.*y	t^3. + t^3./(g1*g2) + g1*g2*t^3. + t^3./(g1*g3) + g1*g3*t^3. + t^4. + t^4./(g1*g2) + g1*g2*t^4. + t^4./(g1*g3) + g1*g3*t^4. + t^5./(g1*g2) + g1*g2*t^5. + t^5./(g1*g3) + g1*g3*t^5. + t^5.5/(g1*g2^2*g3^2) + (g1*t^5.5)/(g2*g3) + g2^2*g3*t^5.5 + g2*g3^2*t^5.5 - t^6. + t^6./(g1^2*g2^2) + t^6./(g1*g2) + g1*g2*t^6. + g1^2*g2^2*t^6. + t^6./(g1^2*g3^2) + t^6./(g1*g3) + g1*g3*t^6. + g1^2*g3^2*t^6. + t^6.5/(g1*g2^2*g3^2) + (g1*t^6.5)/(g2*g3) + g2^2*g3*t^6.5 + g2*g3^2*t^6.5 + 2*t^7. + t^7./(g1^2*g2^2) + (2*t^7.)/(g1*g2) + 2*g1*g2*t^7. + g1^2*g2^2*t^7. + t^7./(g1^2*g3^2) + (2*t^7.)/(g1*g3) + t^7./(g1^2*g2*g3) + (g2*t^7.)/g3 + 2*g1*g3*t^7. + (g3*t^7.)/g2 + g1^2*g2*g3*t^7. + g1^2*g3^2*t^7. + g1^3*t^7.5 + g2^3*t^7.5 + t^7.5/(g1^3*g2^3*g3^3) + t^7.5/(g1*g2^2*g3^2) - t^7.5/(g2*g3^2) - t^7.5/(g2^2*g3) + (g1*t^7.5)/(g2*g3) - (g2*g3*t^7.5)/g1 + g2^2*g3*t^7.5 + g2*g3^2*t^7.5 - g1*g2^2*g3^2*t^7.5 + g3^3*t^7.5 + 4*t^8. + (2*t^8.)/(g1^2*g2^2) + t^8./(g1*g2) + g1*g2*t^8. + 2*g1^2*g2^2*t^8. + (2*t^8.)/(g1^2*g3^2) + t^8./(g1*g3) + (2*t^8.)/(g1^2*g2*g3) + (2*g2*t^8.)/g3 + g1*g3*t^8. + (2*g3*t^8.)/g2 + 2*g1^2*g2*g3*t^8. + 2*g1^2*g3^2*t^8. + t^8.5/(g1*g2^2*g3^2) + (g1*t^8.5)/(g2*g3) + g2^2*g3*t^8.5 + g2*g3^2*t^8.5 - t^4./y - t^5./y - t^7./y - t^7./(g1*g2*y) - (g1*g2*t^7.)/y - t^7./(g1*g3*y) - (g1*g3*t^7.)/y - t^8./y - t^8./(g1*g2*y) - (g1*g2*t^8.)/y - t^8./(g1*g3*y) - (g1*g3*t^8.)/y - t^4.*y - t^5.*y - t^7.*y - (t^7.*y)/(g1*g2) - g1*g2*t^7.*y - (t^7.*y)/(g1*g3) - g1*g3*t^7.*y - t^8.*y - (t^8.*y)/(g1*g2) - g1*g2*t^8.*y - (t^8.*y)/(g1*g3) - g1*g3*t^8.*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
47895	${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$	1.2917	1.4583	0.8857	[X:[1.3333, 1.3333], q:[0.6667, 0.3333], qb:[0.3333, 0.6667], phi:[0.3333]]	4*t^3. + 6*t^4. + 3*t^5. + 11*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y	detail	{a: 31/24, c: 35/24, X1: 4/3, X2: 4/3, q1: 2/3, q2: 1/3, qb1: 1/3, qb2: 2/3, phi1: 1/3}

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
47866	SU3adj1nf2	${}$	1.4743	1.6854	0.8748	[q:[0.4934, 0.4934], qb:[0.4934, 0.4934], phi:[0.3377]]	t^2.026 + 4*t^2.96 + t^3.04 + 4*t^3.974 + t^4.053 + 8*t^4.987 + t^5.066 + 4*t^5.454 + 10*t^5.921 - t^4.013/y - t^5.026/y - t^4.013*y - t^5.026*y	detail