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
6033	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$	0.7309	0.9202	0.7943	[M:[0.915, 1.0283, 1.085, 0.8583, 1.0, 0.9433, 0.915, 0.9717, 0.6842], q:[0.5, 0.585], qb:[0.415, 0.5567], phi:[0.4858]]	[M:[[-6], [2], [6], [-10], [0], [-4], [-6], [-2], [13]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{9}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{9}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{9}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{9}$, ${ }M_{7}M_{9}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{9}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}M_{9}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}M_{9}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}^{2}$	${}$	-3	t^2.053 + t^2.575 + 2*t^2.745 + t^2.83 + 2*t^2.915 + t^3. + t^4.105 + t^4.202 + t^4.372 + 2*t^4.457 + 2*t^4.628 + t^4.713 + 3*t^4.798 + 2*t^4.883 + 3*t^4.968 + t^5.053 + t^5.15 + 2*t^5.32 + t^5.405 + 4*t^5.49 + 2*t^5.575 + 5*t^5.66 + 2*t^5.745 + 3*t^5.83 + t^5.915 - 3*t^6. - t^6.085 + t^6.158 - 2*t^6.17 - t^6.255 + t^6.51 + 2*t^6.68 + t^6.765 + t^6.777 + 3*t^6.85 + 2*t^6.935 + 2*t^6.947 + 3*t^7.02 + t^7.032 + t^7.105 + 3*t^7.117 + 5*t^7.202 + 3*t^7.287 + 7*t^7.372 + 2*t^7.457 + 6*t^7.543 + 4*t^7.628 + 7*t^7.713 + t^7.725 + 4*t^7.798 + 2*t^7.883 + 2*t^7.895 + t^7.98 - 5*t^8.053 + 4*t^8.065 - 2*t^8.138 + 2*t^8.15 + t^8.211 - 2*t^8.223 + 7*t^8.235 - t^8.308 + 2*t^8.32 + 8*t^8.405 + 3*t^8.49 + t^8.563 + 3*t^8.575 + 3*t^8.66 + 2*t^8.733 - 5*t^8.745 + t^8.818 - 3*t^8.83 + 3*t^8.903 - 9*t^8.915 + 2*t^8.988 - t^4.457/y - t^6.51/y - t^7.032/y - t^7.202/y - t^7.287/y - t^7.372/y + t^7.543/y + (2*t^7.628)/y + t^7.713/y + (2*t^7.798)/y + (2*t^7.883)/y + (2*t^7.968)/y + t^8.053/y + (2*t^8.32)/y + (2*t^8.405)/y + (3*t^8.49)/y - t^8.563/y + (3*t^8.575)/y + (4*t^8.66)/y + (4*t^8.745)/y + (2*t^8.83)/y + (2*t^8.915)/y - t^4.457*y - t^6.51*y - t^7.032*y - t^7.202*y - t^7.287*y - t^7.372*y + t^7.543*y + 2*t^7.628*y + t^7.713*y + 2*t^7.798*y + 2*t^7.883*y + 2*t^7.968*y + t^8.053*y + 2*t^8.32*y + 2*t^8.405*y + 3*t^8.49*y - t^8.563*y + 3*t^8.575*y + 4*t^8.66*y + 4*t^8.745*y + 2*t^8.83*y + 2*t^8.915*y	g1^13*t^2.053 + t^2.575/g1^10 + (2*t^2.745)/g1^6 + t^2.83/g1^4 + (2*t^2.915)/g1^2 + t^3. + g1^26*t^4.105 + t^4.202/g1^7 + t^4.372/g1^3 + (2*t^4.457)/g1 + 2*g1^3*t^4.628 + g1^5*t^4.713 + 3*g1^7*t^4.798 + 2*g1^9*t^4.883 + 3*g1^11*t^4.968 + g1^13*t^5.053 + t^5.15/g1^20 + (2*t^5.32)/g1^16 + t^5.405/g1^14 + (4*t^5.49)/g1^12 + (2*t^5.575)/g1^10 + (5*t^5.66)/g1^8 + (2*t^5.745)/g1^6 + (3*t^5.83)/g1^4 + t^5.915/g1^2 - 3*t^6. - g1^2*t^6.085 + g1^39*t^6.158 - 2*g1^4*t^6.17 - g1^6*t^6.255 + g1^12*t^6.51 + 2*g1^16*t^6.68 + g1^18*t^6.765 + t^6.777/g1^17 + 3*g1^20*t^6.85 + 2*g1^22*t^6.935 + (2*t^6.947)/g1^13 + 3*g1^24*t^7.02 + t^7.032/g1^11 + g1^26*t^7.105 + (3*t^7.117)/g1^9 + (5*t^7.202)/g1^7 + (3*t^7.287)/g1^5 + (7*t^7.372)/g1^3 + (2*t^7.457)/g1 + 6*g1*t^7.543 + 4*g1^3*t^7.628 + 7*g1^5*t^7.713 + t^7.725/g1^30 + 4*g1^7*t^7.798 + 2*g1^9*t^7.883 + (2*t^7.895)/g1^26 + t^7.98/g1^24 - 5*g1^13*t^8.053 + (4*t^8.065)/g1^22 - 2*g1^15*t^8.138 + (2*t^8.15)/g1^20 + g1^52*t^8.211 - 2*g1^17*t^8.223 + (7*t^8.235)/g1^18 - g1^19*t^8.308 + (2*t^8.32)/g1^16 + (8*t^8.405)/g1^14 + (3*t^8.49)/g1^12 + g1^25*t^8.563 + (3*t^8.575)/g1^10 + (3*t^8.66)/g1^8 + 2*g1^29*t^8.733 - (5*t^8.745)/g1^6 + g1^31*t^8.818 - (3*t^8.83)/g1^4 + 3*g1^33*t^8.903 - (9*t^8.915)/g1^2 + 2*g1^35*t^8.988 - t^4.457/(g1*y) - (g1^12*t^6.51)/y - t^7.032/(g1^11*y) - t^7.202/(g1^7*y) - t^7.287/(g1^5*y) - t^7.372/(g1^3*y) + (g1*t^7.543)/y + (2*g1^3*t^7.628)/y + (g1^5*t^7.713)/y + (2*g1^7*t^7.798)/y + (2*g1^9*t^7.883)/y + (2*g1^11*t^7.968)/y + (g1^13*t^8.053)/y + (2*t^8.32)/(g1^16*y) + (2*t^8.405)/(g1^14*y) + (3*t^8.49)/(g1^12*y) - (g1^25*t^8.563)/y + (3*t^8.575)/(g1^10*y) + (4*t^8.66)/(g1^8*y) + (4*t^8.745)/(g1^6*y) + (2*t^8.83)/(g1^4*y) + (2*t^8.915)/(g1^2*y) - (t^4.457*y)/g1 - g1^12*t^6.51*y - (t^7.032*y)/g1^11 - (t^7.202*y)/g1^7 - (t^7.287*y)/g1^5 - (t^7.372*y)/g1^3 + g1*t^7.543*y + 2*g1^3*t^7.628*y + g1^5*t^7.713*y + 2*g1^7*t^7.798*y + 2*g1^9*t^7.883*y + 2*g1^11*t^7.968*y + g1^13*t^8.053*y + (2*t^8.32*y)/g1^16 + (2*t^8.405*y)/g1^14 + (3*t^8.49*y)/g1^12 - g1^25*t^8.563*y + (3*t^8.575*y)/g1^10 + (4*t^8.66*y)/g1^8 + (4*t^8.745*y)/g1^6 + (2*t^8.83*y)/g1^4 + (2*t^8.915*y)/g1^2

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

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
4532	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$	0.7102	0.8804	0.8067	[M:[0.9108, 1.0297, 1.0892, 0.8513, 1.0, 0.9405, 0.9108, 0.9703], q:[0.5, 0.5892], qb:[0.4108, 0.5595], phi:[0.4851]]	t^2.554 + 2*t^2.732 + t^2.822 + 2*t^2.911 + t^3. + t^3.92 + t^4.188 + t^4.366 + 2*t^4.455 + t^4.634 + t^4.723 + t^4.812 + t^4.901 + t^4.991 + t^5.108 + 2*t^5.286 + t^5.376 + 4*t^5.465 + 2*t^5.554 + 5*t^5.643 + 2*t^5.732 + 3*t^5.822 + t^5.911 - 3*t^6. - t^4.455/y - t^4.455*y	detail