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
308	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{2}X_{1}$	0.5986	0.7318	0.8179	[X:[1.4911], M:[0.8772, 0.5089, 0.8772, 1.0], q:[0.8114, 0.8114], qb:[0.3114, 0.5569], phi:[0.3772]]	[X:[[0, 8]], M:[[1, -3], [0, -8], [-1, -1], [0, 0]], q:[[-1, 2], [1, 0]], qb:[[0, 1], [0, 5]], phi:[[0, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$	${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.263 + t^2.605 + 2*t^2.632 + t^3. + t^3.737 + 2*t^4.105 + t^4.473 + t^4.527 + 2*t^4.868 + 2*t^4.895 + t^5.21 + 2*t^5.237 + 3*t^5.263 + t^5.605 - t^6. + t^6.341 + 2*t^6.368 - t^6.395 + 2*t^6.71 + 4*t^6.737 - 2*t^6.763 + t^6.79 + t^7.078 + 2*t^7.105 + 2*t^7.159 + t^7.473 + 2*t^7.5 + 3*t^7.527 + t^7.815 + 2*t^7.841 + 2*t^7.868 + 2*t^7.895 + 4*t^8.21 - 2*t^8.237 - 2*t^8.263 + 2*t^8.578 - 2*t^8.605 - 4*t^8.632 + 2*t^8.946 + 2*t^8.973 - t^4.132/y - t^6.395/y - (2*t^6.763)/y + (2*t^7.5)/y + (2*t^7.868)/y + (2*t^7.895)/y + (2*t^8.237)/y + (2*t^8.263)/y + t^8.605/y + (2*t^8.632)/y - t^8.659/y - t^4.132*y - t^6.395*y - 2*t^6.763*y + 2*t^7.5*y + 2*t^7.868*y + 2*t^7.895*y + 2*t^8.237*y + 2*t^8.263*y + t^8.605*y + 2*t^8.632*y - t^8.659*y	t^2.263/g2^4 + g2^6*t^2.605 + (g1*t^2.632)/g2^3 + t^2.632/(g1*g2) + t^3. + g2^4*t^3.737 + g1*g2^5*t^4.105 + (g2^7*t^4.105)/g1 + g2^8*t^4.473 + t^4.527/g2^8 + 2*g2^2*t^4.868 + (g1*t^4.895)/g2^7 + t^4.895/(g1*g2^5) + g2^12*t^5.21 + g1*g2^3*t^5.237 + (g2^5*t^5.237)/g1 + (g1^2*t^5.263)/g2^6 + t^5.263/g2^4 + t^5.263/(g1^2*g2^2) + g2^6*t^5.605 - t^6. + g2^10*t^6.341 + g1*g2*t^6.368 + (g2^3*t^6.368)/g1 - t^6.395/g2^6 + g1*g2^11*t^6.71 + (g2^13*t^6.71)/g1 + g1^2*g2^2*t^6.737 + 2*g2^4*t^6.737 + (g2^6*t^6.737)/g1^2 - (g1*t^6.763)/g2^5 - t^6.763/(g1*g2^3) + t^6.79/g2^12 + g2^14*t^7.078 + g1*g2^5*t^7.105 + (g2^7*t^7.105)/g1 + (g1*t^7.159)/g2^11 + t^7.159/(g1*g2^9) + g2^8*t^7.473 + (g1*t^7.5)/g2 + (g2*t^7.5)/g1 + (g1^2*t^7.527)/g2^10 + t^7.527/g2^8 + t^7.527/(g1^2*g2^6) + g2^18*t^7.815 + g1*g2^9*t^7.841 + (g2^11*t^7.841)/g1 + g1^2*t^7.868 + (g2^4*t^7.868)/g1^2 + (g1^3*t^7.895)/g2^9 + t^7.895/(g1^3*g2^3) + g1^2*g2^10*t^8.21 + 2*g2^12*t^8.21 + (g2^14*t^8.21)/g1^2 - g1*g2^3*t^8.237 - (g2^5*t^8.237)/g1 - (2*t^8.263)/g2^4 + g1*g2^13*t^8.578 + (g2^15*t^8.578)/g1 - 2*g2^6*t^8.605 - (2*g1*t^8.632)/g2^3 - (2*t^8.632)/(g1*g2) + 2*g2^16*t^8.946 + g1*g2^7*t^8.973 + (g2^9*t^8.973)/g1 - t^4.132/(g2^2*y) - t^6.395/(g2^6*y) - (g1*t^6.763)/(g2^5*y) - t^6.763/(g1*g2^3*y) + (g1*t^7.5)/(g2*y) + (g2*t^7.5)/(g1*y) + (2*g2^2*t^7.868)/y + (g1*t^7.895)/(g2^7*y) + t^7.895/(g1*g2^5*y) + (g1*g2^3*t^8.237)/y + (g2^5*t^8.237)/(g1*y) + (2*t^8.263)/(g2^4*y) + (g2^6*t^8.605)/y + (g1*t^8.632)/(g2^3*y) + t^8.632/(g1*g2*y) - t^8.659/(g2^10*y) - (t^4.132*y)/g2^2 - (t^6.395*y)/g2^6 - (g1*t^6.763*y)/g2^5 - (t^6.763*y)/(g1*g2^3) + (g1*t^7.5*y)/g2 + (g2*t^7.5*y)/g1 + 2*g2^2*t^7.868*y + (g1*t^7.895*y)/g2^7 + (t^7.895*y)/(g1*g2^5) + g1*g2^3*t^8.237*y + (g2^5*t^8.237*y)/g1 + (2*t^8.263*y)/g2^4 + g2^6*t^8.605*y + (g1*t^8.632*y)/g2^3 + (t^8.632*y)/(g1*g2) - (t^8.659*y)/g2^10

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
483	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{2}$	0.5651	0.6693	0.8444	[X:[1.6667, 1.3333], M:[0.8333, 0.3333, 0.8333, 1.0], q:[0.8333, 0.8333], qb:[0.3333, 0.6667], phi:[0.3333]]	2*t^2.5 + 2*t^3. + 2*t^4. + 2*t^4.5 + 4*t^5. + 2*t^5.5 - t^6. - t^4./y - t^4.*y	detail	{a: 217/384, c: 257/384, X1: 5/3, X2: 4/3, M1: 5/6, M2: 1/3, M3: 5/6, M4: 1, q1: 5/6, q2: 5/6, 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
195	SU2adj1nf2	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	0.6895	0.8748	0.7882	[M:[0.692, 0.7027, 0.692, 0.6884], q:[0.8261, 0.8261], qb:[0.4819, 0.4747], phi:[0.3478]]	t^2.065 + 2*t^2.076 + t^2.087 + t^2.108 + t^2.87 + 2*t^3.903 + t^3.913 + t^4.13 + 2*t^4.141 + 4*t^4.152 + 2*t^4.163 + 2*t^4.173 + 2*t^4.184 + t^4.195 + t^4.216 + t^4.935 + 2*t^4.946 + 2*t^4.957 + t^4.978 + t^5.74 + 2*t^5.968 + 4*t^5.978 + 2*t^5.989 - 2*t^6. - t^4.043/y - t^4.043*y	detail