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
577	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$	0.7168	0.8831	0.8116	[M:[1.0, 0.8704, 0.8056, 1.0648, 0.9352], q:[0.5603, 0.4397], qb:[0.6341, 0.4955], phi:[0.4676]]	[M:[[0, 0], [-4, -4], [-6, -6], [2, 2], [-2, -2]], q:[[2, 6], [-2, -6]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	${}$	-3	t^2.417 + t^2.611 + 2*t^2.806 + t^3. + t^3.167 + t^3.221 + t^4.041 + t^4.208 + t^4.376 + t^4.403 + t^4.57 + t^4.624 + t^4.765 + t^4.792 + t^4.834 + t^4.986 + t^5.028 + t^5.207 + 3*t^5.222 + 2*t^5.417 + 4*t^5.611 + t^5.806 + 2*t^5.973 - 3*t^6. + 2*t^6.027 - t^6.194 + t^6.335 - t^6.362 - t^6.416 + t^6.443 + t^6.458 - t^6.583 + t^6.625 + t^6.652 + t^6.793 + t^6.82 + 2*t^6.847 + t^6.987 + 3*t^7.014 + t^7.041 + 3*t^7.181 + 3*t^7.208 - t^7.235 + t^7.25 + t^7.262 + 4*t^7.376 - t^7.403 + 2*t^7.43 + t^7.445 + t^7.543 + t^7.57 + t^7.597 + t^7.624 + 3*t^7.639 + t^7.738 - t^7.765 + 2*t^7.792 - t^7.819 + 3*t^7.834 + t^7.845 + t^7.932 - t^7.959 - t^7.986 + 2*t^8.013 + 5*t^8.028 + t^8.082 - t^8.18 + t^8.207 + 3*t^8.222 - t^8.402 + 3*t^8.417 + t^8.429 + t^8.444 - t^8.611 - t^8.638 + t^8.665 + t^8.752 + 3*t^8.779 - 8*t^8.806 + 3*t^8.833 + t^8.875 + t^8.946 - t^8.973 - t^4.403/y - t^6.82/y - t^7.014/y - t^7.208/y + t^7.597/y + t^7.792/y + t^7.986/y + t^8.028/y + (2*t^8.222)/y + (3*t^8.417)/y + t^8.584/y + (2*t^8.611)/y + t^8.638/y + t^8.779/y + (2*t^8.806)/y + t^8.833/y + (2*t^8.973)/y - t^4.403*y - t^6.82*y - t^7.014*y - t^7.208*y + t^7.597*y + t^7.792*y + t^7.986*y + t^8.028*y + 2*t^8.222*y + 3*t^8.417*y + t^8.584*y + 2*t^8.611*y + t^8.638*y + t^8.779*y + 2*t^8.806*y + t^8.833*y + 2*t^8.973*y	t^2.417/(g1^6*g2^6) + t^2.611/(g1^4*g2^4) + (2*t^2.806)/(g1^2*g2^2) + t^3. + g1^2*g2^10*t^3.167 + (g1^2*t^3.221)/g2^6 + t^4.041/(g1^5*g2^13) + t^4.208/(g1^3*g2^3) + (g2^7*t^4.376)/g1 + t^4.403/(g1*g2) + g1*g2^9*t^4.57 + (g1*t^4.624)/g2^7 + g1^3*g2^11*t^4.765 + g1^3*g2^3*t^4.792 + t^4.834/(g1^12*g2^12) + g1^5*g2^5*t^4.986 + t^5.028/(g1^10*g2^10) + (g1^7*t^5.207)/g2 + (3*t^5.222)/(g1^8*g2^8) + (2*t^5.417)/(g1^6*g2^6) + (4*t^5.611)/(g1^4*g2^4) + t^5.806/(g1^2*g2^2) + 2*g2^8*t^5.973 - 3*t^6. + (2*t^6.027)/g2^8 - g1^2*g2^2*t^6.194 + g1^4*g2^20*t^6.335 - g1^4*g2^12*t^6.362 - (g1^4*t^6.416)/g2^4 + (g1^4*t^6.443)/g2^12 + t^6.458/(g1^11*g2^19) - g1^6*g2^6*t^6.583 + t^6.625/(g1^9*g2^9) + t^6.652/(g1^9*g2^17) + (g2*t^6.793)/g1^7 + t^6.82/(g1^7*g2^7) + (2*t^6.847)/(g1^7*g2^15) + (g2^3*t^6.987)/g1^5 + (3*t^7.014)/(g1^5*g2^5) + t^7.041/(g1^5*g2^13) + (3*g2^5*t^7.181)/g1^3 + (3*t^7.208)/(g1^3*g2^3) - t^7.235/(g1^3*g2^11) + t^7.25/(g1^18*g2^18) + t^7.262/(g1^3*g2^19) + (4*g2^7*t^7.376)/g1 - t^7.403/(g1*g2) + (2*t^7.43)/(g1*g2^9) + t^7.445/(g1^16*g2^16) + g1*g2^17*t^7.543 + g1*g2^9*t^7.57 + g1*g2*t^7.597 + (g1*t^7.624)/g2^7 + (3*t^7.639)/(g1^14*g2^14) + g1^3*g2^19*t^7.738 - g1^3*g2^11*t^7.765 + 2*g1^3*g2^3*t^7.792 - (g1^3*t^7.819)/g2^5 + (3*t^7.834)/(g1^12*g2^12) + (g1^3*t^7.845)/g2^13 + g1^5*g2^21*t^7.932 - g1^5*g2^13*t^7.959 - g1^5*g2^5*t^7.986 + (2*g1^5*t^8.013)/g2^3 + (5*t^8.028)/(g1^10*g2^10) + t^8.082/(g1^10*g2^26) - g1^7*g2^7*t^8.18 + (g1^7*t^8.207)/g2 + (3*t^8.222)/(g1^8*g2^8) - g1^9*g2*t^8.402 + (3*t^8.417)/(g1^6*g2^6) + (g1^9*t^8.429)/g2^7 + t^8.444/(g1^6*g2^14) - t^8.611/(g1^4*g2^4) - t^8.638/(g1^4*g2^12) + t^8.665/(g1^4*g2^20) + (g2^14*t^8.752)/g1^2 + (3*g2^6*t^8.779)/g1^2 - (8*t^8.806)/(g1^2*g2^2) + (3*t^8.833)/(g1^2*g2^10) + t^8.875/(g1^17*g2^25) + g2^16*t^8.946 - g2^8*t^8.973 - t^4.403/(g1*g2*y) - t^6.82/(g1^7*g2^7*y) - t^7.014/(g1^5*g2^5*y) - t^7.208/(g1^3*g2^3*y) + (g1*g2*t^7.597)/y + (g1^3*g2^3*t^7.792)/y + (g1^5*g2^5*t^7.986)/y + t^8.028/(g1^10*g2^10*y) + (2*t^8.222)/(g1^8*g2^8*y) + (3*t^8.417)/(g1^6*g2^6*y) + (g2^4*t^8.584)/(g1^4*y) + (2*t^8.611)/(g1^4*g2^4*y) + t^8.638/(g1^4*g2^12*y) + (g2^6*t^8.779)/(g1^2*y) + (2*t^8.806)/(g1^2*g2^2*y) + t^8.833/(g1^2*g2^10*y) + (2*g2^8*t^8.973)/y - (t^4.403*y)/(g1*g2) - (t^6.82*y)/(g1^7*g2^7) - (t^7.014*y)/(g1^5*g2^5) - (t^7.208*y)/(g1^3*g2^3) + g1*g2*t^7.597*y + g1^3*g2^3*t^7.792*y + g1^5*g2^5*t^7.986*y + (t^8.028*y)/(g1^10*g2^10) + (2*t^8.222*y)/(g1^8*g2^8) + (3*t^8.417*y)/(g1^6*g2^6) + (g2^4*t^8.584*y)/g1^4 + (2*t^8.611*y)/(g1^4*g2^4) + (t^8.638*y)/(g1^4*g2^12) + (g2^6*t^8.779*y)/g1^2 + (2*t^8.806*y)/(g1^2*g2^2) + (t^8.833*y)/(g1^2*g2^10) + 2*g2^8*t^8.973*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
1927	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ + ${ }M_{2}X_{2}$	0.5768	0.7018	0.8219	[X:[1.6, 1.4], M:[1.0, 0.6, 0.4, 1.2, 0.8], q:[0.65, 0.35], qb:[0.95, 0.45], phi:[0.4]]	2*t^2.4 + t^3. + 2*t^3.3 + t^3.6 + 2*t^3.9 + t^4.2 + 4*t^4.8 + t^5.4 + 2*t^5.7 - t^4.2/y - t^4.2*y	detail	{a: 2307/4000, c: 2807/4000, X1: 8/5, X2: 7/5, M1: 1, M2: 3/5, M3: 2/5, M4: 6/5, M5: 4/5, q1: 13/20, q2: 7/20, qb1: 19/20, qb2: 9/20, phi1: 2/5}

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
364	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$	0.7111	0.8727	0.8148	[M:[1.0, 0.8849, 0.8273, 1.0576], q:[0.5541, 0.4459], qb:[0.6187, 0.4965], phi:[0.4712]]	t^2.482 + t^2.655 + t^2.827 + t^3. + t^3.152 + t^3.173 + t^3.194 + t^4.089 + t^4.241 + t^4.393 + t^4.414 + t^4.565 + t^4.607 + t^4.738 + t^4.759 + t^4.932 + t^4.964 + t^5.126 + t^5.136 + 2*t^5.309 + t^5.482 + 3*t^5.655 + t^5.827 + t^5.979 - 2*t^6. - t^4.414/y - t^4.414*y	detail